213078028800
213,078,028,800 is an even composite number composed of seven prime numbers multiplied together.
213078028800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 213078028800:
29 × 3 × 52 × 72 × 13 × 31 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 31 × 281)See below for interesting mathematical facts about the number 213078028800 from the Numbermatics database.
Names of 213078028800
- Cardinal: 213078028800 can be written as Two hundred thirteen billion, seventy-eight million, twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.130780288 × 1011
Factors of 213078028800
Divisors of 213078028800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 31 32 35 39 40 42 48 49 50 52 56 60 62 64 65 70 75 78 80 84 91 93 96 98 100 104 105 112 120 124 128 130 140 147 150 155 156 160 168 175 182 186 192 195 196 200 208 210 217 224 240 245 248 256 260 273 280 281 294 300 310 312 320 325 336 350 364 372 384 390 392 400 403 416 420 434 448 455 465 480 490 496 512 520 525 546 560 562 588 600 620 624 637 640 650 651 672 700 728 735 744 768 775 780 784 800 806 832 840 843 868 896 910 930 960 975 980 992 1040 1050 1085 1092 1120 1124 1176 1200 1209 1225 1240 1248 1274 1280 1300 1302 1344 1365 1400 1405 1456 1470 1488 1519 1536 1550 1560 1568 1600 1612 1664 1680 1686 1736 1792 1820 1860 1911 1920 1950 1960 1967 1984 2015 2080 2100 2170 2184 2240 2248 2275 2325 2352 2400 2418 2450 2480 2496 2548 2560 2600 2604 2688 2730 2800 2810 2821 2912 2940 2976 3038 3100 3120 3136 3185 3200 3224 3255 3328 3360 3372 3472 3584 3640 3653 3675 3720 3822 3840 3900 3920 3934 3968 4030 4160 4200 4215 4340 4368 4480 4496 4550 4557 4650 4704 4800 4836 4900 4960 4992 5096 5200 5208 5376 5425 5460 5600 5620 5642 5824 5880 5901 5952 6045 6076 6200 6240 6272 6370 6400 6448 6510 6656 6720 6744 6825 6944 7025 7280 7306 7350 7440 7595 7644 7680 7800 7840 7868 7936 8060 8320 8400 8430 8463 8680 8711 8736 8960 8992 9100 9114 9300 9408 9555 9600 9672 9800 9835 9920 9984 10075 10192 10400 10416 10752 10850 10920 10959 11200 11240 11284 11648 11760 11802 11904 12090 12152 12400 12480 12544 12740 12800 12896 13020 13440 13488 13650 13769 13888 14050 14105 14560 14612 14700 14880 15190 15288 15600 15680 15736 15872 15925 16120 16275 16640 16800 16860 16926 17360 17422 17472 17920 17984 18200 18228 18265 18600 18816 19110 19200 19344 19600 19670 19747 19840 19968 20150 20384 20800 20832 21075 21700 21840 21918 22400 22480 22568 22785 23296 23520 23604 23808 24180 24304 24800 24960 25088 25480 25571 25792 26040 26133 26880 26976 27300 27538 27776 28100 28210 29120 29224 29400 29505 29760 30225 30380 30576 31200 31360 31472 31850 32240 32550 33280 33600 33720 33852 34720 34844 34944 35968 36400 36456 36530 37200 37632 37975 38220 38400 38688 39200 39340 39494 39680 40300 40768 41307 41600 41664 42150 42315 43400 43555 43680 43836 44800 44960 45136 45570 46592 47040 47208 47616 47775 48360 48608 49175 49600 49920 50960 51142 51584 52080 52266 53760 53952 54600 54795 55076 55552 56200 56420 58240 58448 58800 59010 59241 59520 60450 60760 60977 61152 62400 62720 62944 63700 64480 65100 67200 67440 67704 68845 69440 69688 69888 70525 71936 72800 72912 73060 74400 75264 75950 76440 76713 77376 78400 78680 78988 79360 80600 81536 82614 83200 83328 84300 84630 86800 87110 87360 87672 89600 89920 90272 91140 91325 94080 94416 95550 96720 97216 98350 98735 99200 99840 101920 102284 103168 104160 104532 107904 109200 109590 110152 111104 112400 112840 113243 113925 116480 116896 117600 118020 118482 119040 120900 121520 121954 122304 124800 125440 125888 127400 127855 128960 130200 130665 134400 134880 135408 137690 138880 139376 139776 141050 143872 145600 145824 146120 147525 148800 151900 152880 153426 154752 156800 157360 157976 161200 163072 165228 166400 166656 168600 169260 173600 174220 174720 175344 178997 179840 180544 182280 182650 182931 188160 188832 191100 193440 194432 196700 197470 198400 203840 204568 206336 206535 208320 209064 211575 215808 217775 218400 219180 220304 224800 225680 226486 227850 232960 233792 235200 236040 236964 238080 241800 243040 243908 244608 249600 251776 254800 255710 257920 260400 261330 268800 269760 270816 273975 275380 277760 278752 282100 291200 291648 292240 295050 296205 297600 303800 304885 305760 306852 309504 313600 314720 315952 322400 326144 330456 333312 337200 338520 339729 344225 347200 348440 349440 350688 357994 359680 361088 364560 365300 365862 376320 377664 382200 383565 386880 388864 393400 394940 396800 407680 409136 413070 416640 418128 423150 426839 431616 435550 436800 438360 440608 449600 451360 452972 455700 467584 470400 472080 473928 483600 486080 487816 489216 493675 499200 503552 509600 511420 515840 520800 522660 536991 539520 541632 547950 550760 555520 557504 564200 566215 582400 583296 584480 590100 592410 595200 607600 609770 611520 613704 619008 627200 629440 631904 639275 644800 653325 660912 674400 677040 679458 688450 694400 696880 698880 701376 715988 719360 722176 729120 730600 731724 755328 764400 767130 773760 777728 786800 789880 792701 815360 818272 826140 833280 836256 846300 853678 871100 873600 876720 881216 894985 899200 902720 905944 911400 914655 935168 940800 944160 947856 967200 972160 975632 978432 987350 1007104 1019200 1022840 1031680 1032675 1041600 1045320 1073982 1079040 1083264 1095900 1101520 1115008 1128400 1132430 1164800 1166592 1168960 1180200 1184820 1190400 1215200 1219540 1223040 1227408 1258880 1263808 1278550 1280517 1289600 1306650 1321824 1348800 1354080 1358916 1376900 1388800 1393760 1402752 1431976 1444352 1458240 1461200 1463448 1481025 1510656 1524425 1528800 1534260 1547520 1573600 1579760 1585402 1630720 1636544 1652280 1666560 1672512 1692600 1698645 1707356 1742200 1747200 1753440 1762432 1789970 1798400 1805440 1811888 1822800 1829310 1870336 1881600 1888320 1895712 1917825 1934400 1944320 1951264 1974700 2038400 2045680 2065350 2083200 2090640 2134195 2147964 2158080 2166528 2191800 2203040 2230016 2256800 2264860 2333184 2337920 2360400 2369640 2378103 2430400 2439080 2446080 2454816 2517760 2527616 2557100 2561034 2579200 2613300 2643648 2684955 2697600 2708160 2717832 2753800 2777600 2787520 2805504 2831075 2863952 2916480 2922400 2926896 2962050 3021312 3048850 3057600 3068520 3095040 3147200 3159520 3170804 3273088 3304560 3345024 3385200 3397290 3414712 3484400 3494400 3506880 3524864 3579940 3596800 3610880 3623776 3645600 3658620 3776640 3791424 3835650 3868800 3888640 3902528 3949400 3963505 4076800 4091360 4130700 4166400 4181280 4268390 4295928 4333056 4383600 4406080 4460032 4474925 4513600 4529720 4573275 4675840 4720800 4739280 4756206 4860800 4878160 4892160 4909632 5035520 5055232 5114200 5122068 5158400 5226600 5287296 5369910 5395200 5416320 5435664 5507600 5548907 5575040 5611008 5662150 5727904 5832960 5844800 5853792 5924100 6097700 6115200 6137040 6294400 6319040 6341608 6402585 6546176 6609120 6690048 6770400 6794580 6829424 6968800 7013760 7049728 7159880 7221760 7247552 7291200 7317240 7553280 7582848 7671300 7737600 7805056 7898800 7927010 8153600 8182720 8261400 8332800 8362560 8493225 8536780 8591856 8767200 8812160 8949850 9027200 9059440 9146550 9351680 9441600 9478560 9512412 9721600 9756320 9819264 10110464 10228400 10244136 10453200 10574592 10670975 10739820 10790400 10832640 10871328 11015200 11097814 11150080 11324300 11455808 11665920 11689600 11707584 11848200 11890515 12195400 12230400 12274080 12588800 12638080 12683216 12805170 13092352 13218240 13380096 13424775 13540800 13589160 13658848 13937600 14027520 14319760 14495104 14582400 14634480 15106560 15165696 15342600 15475200 15610112 15797600 15854020 16365440 16522800 16646721 16725120 16986450 17073560 17183712 17534400 17624320 17899700 18054400 18118880 18293100 18883200 18957120 19024824 19443200 19512640 19638528 19817525 20456800 20488272 20906400 21149184 21341950 21479640 21665280 21742656 22030400 22195628 22300160 22648600 22911616 23379200 23415168 23696400 23781030 24390800 24460800 24548160 25177600 25276160 25366432 25610340 26436480 26849550 27081600 27178320 27317696 27744535 27875200 28055040 28639520 28990208 29164800 29268960 30331392 30685200 31220224 31595200 31708040 32012925 32730880 33045600 33293442 33450240 33972900 34147120 34367424 35068800 35248640 35799400 36108800 36237760 36586200 37766400 37914240 38049648 39025280 39277056 39635050 40913600 40976544 41812800 42683900 42959280 43485312 44060800 44391256 45297200 45823232 46758400 46830336 47392800 47562060 48781600 49096320 50552320 50732864 51220680 52872960 53699100 54163200 54356640 54635392 55489070 55750400 57279040 57980416 58329600 58537920 59452575 61370400 63190400 63416080 64025850 65461760 66091200 66586884 66900480 67945800 68294240 68734848 70137600 71598800 72475520 73172400 75532800 75828480 76099296 78050560 79270100 81827200 81953088 83233605 83625600 85367800 85918560 86970624 88121600 88782512 90594400 91646464 93660672 94785600 95124120 97563200 98192640 101465728 102441360 105745920 107398200 108326400 108713280 109270784 110978140 111500800 114558080 117075840 118905150 122740800 126380800 126832160 128051700 132182400 133173768 135891600 136588480 137469696 138722675 140275200 143197600 144951040 146344800 151656960 152198592 156101120 158540200 163654400 163906176 166467210 167251200 170735600 171837120 173941248 176243200 177565024 181188800 189571200 190248240 195126400 196385280 202931456 204882720 214796400 217426560 218541568 221956280 229116160 234151680 237810300 245481600 252761600 253664320 256103400 264364800 266347536 271783200 273176960 274939392 277445350 286395200 289902080 292689600 304397184 317080400 327308800 327812352 332934420 334502400 341471200 343674240 355130048 362377600 379142400 380496480 390252800 405862912 409765440 416168025 429592800 434853120 443912560 458232320 468303360 475620600 490963200 507328640 512206800 528729600 532695072 543566400 546353920 554890700 572790400 585379200 608794368 634160800 655624704 665868840 682942400 687348480 710260096 724755200 758284800 760992960 780505600 819530880 832336050 859185600 869706240 887825120 951241200 981926400 1014657280 1024413600 1065390144 1087132800 1092707840 1109781400 1145580800 1170758400 1217588736 1268321600 1331737680 1365884800 1374696960 1420520192 1449510400 1521985920 1639061760 1664672100 1718371200 1775650240 1902482400 2029314560 2048827200 2130780288 2174265600 2219562800 2291161600 2341516800 2536643200 2663475360 2731769600 2841040384 3043971840 3278123520 3329344200 3436742400 3551300480 3804964800 4097654400 4261560576 4348531200 4439125600 5073286400 5326950720 5463539200 6087943680 6658688400 6873484800 7102600960 7609929600 8195308800 8523121152 8878251200 10146572800 10653901440 13317376800 14205201920 15219859200 16390617600 17756502400 21307802880 26634753600 30439718400 35513004800 42615605760 53269507200 71026009600 106539014400 213078028800
- Sum of all divisors σ(n): 913480533504
- Sum of proper divisors (its aliquot sum) s(n): 700402504704
- 213078028800 is an abundant number, because the sum of its proper divisors (700402504704) is greater than itself. Its abundance is 487324475904
Bases of 213078028800
- Binary: 110001100111000111000010110010000000002
- Hexadecimal: 0x319C70B200
- Base-36: 2PVX5N9C
Squares and roots of 213078028800
- 213078028800 squared (2130780288002) is 45402246357293629440000
- 213078028800 cubed (2130780288003) is 9674221156904107063872847872000000
-
The
square root of 213078028800 is 461603.7573503923 -
The
cube root of 213078028800 is 5972.8217877907
Scales and comparisons
How big is 213078028800?- 213,078,028,800 seconds is equal to 6,775 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 213,078,028,800 would take you about thirteen thousand, five hundred fifty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 213078028800 cubic inches would be around 497.7 feet tall.
Recreational maths with 213078028800
- 213078028800 backwards is 008820870312
- 213078028800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213078028800's digits is 39
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 213078028800 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 213078028800 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/213078028800/
Chicago style:
Numbermatics. 2024. "Number 213078028800 - Facts about the integer". https://numbermatics.com/n/213078028800/
The information we have on file for 213078028800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 213078028800, math, Factors of 213078028800, curriculum, school, college, exams, university, Prime factorization of 213078028800, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen billion, seventy-eight million, twenty-eight thousand, eight hundred.