107989252134400
107,989,252,134,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 107989252134400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
107989252134400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 107989252134400:
29 × 52 × 7 × 132 × 312 × 41 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 31 × 31 × 41 × 181)See below for interesting mathematical facts about the number 107989252134400 from the Numbermatics database.
Names of 107989252134400
- Cardinal: 107989252134400 can be written as One hundred seven trillion, nine hundred eighty-nine billion, two hundred fifty-two million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.079892521344 × 1014
Factors of 107989252134400
Divisors of 107989252134400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 41 50 52 56 62 64 65 70 80 82 91 100 104 112 124 128 130 140 155 160 164 169 175 181 182 200 205 208 217 224 248 256 260 280 287 310 320 325 328 338 350 362 364 400 403 410 416 434 448 455 496 512 520 533 560 574 620 640 650 656 676 700 724 728 775 800 806 820 832 845 868 896 905 910 961 992 1025 1040 1066 1085 1120 1148 1183 1240 1267 1271 1280 1300 1312 1352 1400 1435 1448 1456 1550 1600 1612 1640 1664 1690 1736 1792 1810 1820 1922 1984 2015 2050 2080 2132 2170 2240 2275 2296 2353 2366 2480 2534 2542 2560 2600 2624 2665 2704 2800 2821 2870 2896 2912 3100 3200 3224 3280 3328 3380 3472 3584 3620 3640 3731 3844 3968 4030 4100 4160 4225 4264 4340 4480 4525 4550 4592 4706 4732 4805 4960 5068 5084 5200 5239 5248 5330 5408 5425 5600 5611 5642 5740 5792 5824 5915 6200 6335 6355 6400 6448 6560 6656 6727 6760 6929 6944 7175 7240 7280 7421 7462 7688 7936 8060 8200 8320 8450 8528 8680 8897 8960 9050 9100 9184 9412 9464 9610 9920 10075 10136 10168 10400 10478 10496 10660 10816 10850 11200 11222 11284 11480 11584 11648 11765 11830 12400 12493 12670 12710 12800 12896 13120 13325 13454 13520 13858 13888 14105 14350 14480 14560 14842 14924 15376 15872 16120 16400 16471 16523 16640 16900 17056 17360 17794 17920 18100 18200 18368 18655 18824 18928 19220 19840 20150 20272 20336 20800 20956 20992 21320 21632 21700 22400 22444 22568 22960 23168 23296 23530 23660 24025 24800 24986 25340 25420 25792 26195 26240 26650 26908 27040 27716 27776 28055 28210 28700 28960 29120 29575 29684 29848 30589 30752 31675 31775 32240 32800 32942 33046 33280 33635 33800 34112 34645 34720 35588 36200 36400 36673 36736 37105 37310 37648 37856 38440 39277 39401 39680 40300 40544 40672 41600 41912 42640 43264 43400 44485 44800 44888 45136 45920 46336 46592 47060 47320 48050 48503 49600 49972 50680 50840 51584 51947 52390 52480 53300 53816 54080 55432 55552 56110 56420 57400 57920 58240 58825 59150 59368 59696 61178 61504 62465 63350 63550 64480 65600 65884 66092 67270 67600 68224 69290 69440 70525 71176 72400 72800 72943 73346 73472 74210 74620 75296 75712 76880 78554 78802 79360 80600 81088 81344 82355 82615 83200 83824 85280 86528 86800 87451 88970 89600 89776 90272 91840 92672 93275 94120 94640 96100 96473 97006 99200 99944 101360 101680 103168 103894 104780 104960 106600 107632 108160 110864 111104 112220 112840 114800 115661 115840 116480 117650 118300 118736 119392 122356 123008 124930 126700 127100 128960 130975 131200 131768 132184 134540 135200 136448 138580 138880 140275 141050 142352 144800 145600 145886 146692 146944 148420 149240 150592 151424 152945 153760 157108 157604 161200 162176 162409 162688 164710 165230 166400 167648 168175 170560 173225 173600 173941 174902 177940 179552 180544 183365 183680 185525 186550 188240 189280 192200 192946 194012 196385 197005 198400 199888 202720 203360 206336 207788 209560 213200 214123 214799 215264 216320 221728 222425 224440 225680 229600 230051 231322 231680 232960 235300 236600 237472 238784 242515 244712 246016 249860 253400 254200 257920 259735 261950 262400 263536 264368 269080 270400 272896 275807 277160 277760 280550 282100 284704 289600 291200 291772 293384 296840 298480 301184 302848 305890 307520 312325 314216 315208 322400 324352 324818 325376 329420 330460 335296 336350 341120 346450 347200 347882 349804 355880 359104 361088 364715 366730 367360 371050 373100 376480 378560 384400 385892 388024 392770 394010 396800 399776 405440 406720 411775 413075 415576 419120 426400 428246 429598 430528 432640 437255 443456 444850 448880 451360 459200 460102 462644 463360 470600 473200 474944 477568 482365 485030 489424 492032 499720 506800 508400 510601 512213 515840 519470 523900 524800 527072 528736 538160 540800 551614 554320 555520 561100 564200 569408 578305 579200 582400 583544 586768 593680 596960 602368 605696 611780 615040 624650 628432 630416 644800 648704 649636 650752 658840 660920 670592 672700 675311 682240 692900 694400 695764 699608 711760 718208 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877904300 882582400 904493200 909490400 912842368 917885696 927105530 932227660 933670400 940672928 957012160 962299520 971965475 974069600 998421340 1003319200 1013032384 1028861015 1030628480 1039417600 1046732050 1062050080 1065403040 1080497600 1088601332 1113222400 1119372800 1123717504 1141052960 1147357120 1157751296 1165284575 1175841160 1196265200 1202874400 1205237189 1213771520 1234854400 1244115808 1248026675 1266290480 1288285600 1297947742 1307138560 1311265280 1327562600 1331753800 1339817024 1360751665 1370387200 1374713600 1404646880 1426316200 1434196400 1447189120 1455184640 1469801450 1472326400 1480460800 1483368848 1491564256 1517214400 1531219456 1555144760 1558511360 1582863100 1597474144 1605310720 1633923200 1639081600 1646177624 1674771280 1699280128 1704644864 1728796160 1755808600 1765164800 1808986400 1818980800 1825684736 1835771392 1854211060 1864455320 1881345856 1914024320 1924599040 1943930950 1948139200 1996842680 2006638400 2026064768 2057722030 2061256960 2078835200 2093464100 2124100160 2130806080 2160995200 2177202664 2226444800 2247435008 2282105920 2294714240 2317763825 2330569150 2351682320 2392530400 2405748800 2410474378 2427543040 2488231616 2496053350 2532580960 2576571200 2595895484 2655125200 2663507600 2679634048 2721503330 2740774400 2749427200 2809293760 2852632400 2868392800 2894378240 2910369280 2939602900 2944652800 2966737696 2983128512 3034428800 3110289520 3117022720 3165726200 3194948288 3210621440 3244869355 3267846400 3278163200 3292355248 3349542560 3398560256 3409289728 3511617200 3530329600 3617972800 3637961600 3651369472 3708422120 3728910640 3762691712 3828048640 3849198080 3887861900 3896278400 3993685360 4013276800 4052129536 4115444060 4122513920 4186928200 4248200320 4261612160 4321990400 4354405328 4494870016 4564211840 4589428480 4635527650 4661138300 4703364640 4785060800 4811497600 4820948756 4976463232 4992106700 5065161920 5144305075 5153142400 5191790968 5310250400 5327015200 5359268096 5443006660 5618587520 5705264800 5736785600 5788756480 5879205800 5933475392 5966257024 6026185945 6068857600 6220579040 6331452400 6389896576 6489738710 6535692800 6556326400 6584710496 6699085120 6803758325 7023234400 7235945600 7275923200 7416844240 7457821280 7525383424 7656097280 7775723800 7792556800 7987370720 8026553600 8104259072 8230888120 8373856400 8436660323 8496400640 8523224320 8643980800 8708810656 9128423680 9178856960 9271055300 9322276600 9406729280 9570121600 9622995200 9641897512 9952926464 9984213400 10130323840 10288610150 10306284800 10383581936 10620500800 10654030400 10718536192 10886013320 11237175040 11410529600 11473571200 11758411600 11866950784 11932514048 12052371890 12137715200 12441158080 12662904800 12779793152 12979477420 13169420992 13398170240 13607516650 14046468800 14471891200 14551846400 14833688480 14915642560 15050766848 15551447600 15585113600 15974741440 16053107200 16224346775 16461776240 16747712800 16873320646 16992801280 17046448640 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82308881200 83068655488 84366603230 84964006400 85232243200 87088106560 91284236800 94067292800 96418975120 99529264640 101303238400 103835819360 105355367936 108860133200 112371750400 118669507840 119325140480 120523718900 124411580800 127797931520 129794774200 131694209920 133981702400 134986565168 139340970496 148336884800 149156425600 154270360192 159747414400 164617762400 166137310976 168733206460 174176213120 188134585600 192837950240 202606476800 207671638720 210916508075 217720266400 237339015680 241047437800 248823161600 259589548400 263388419840 267963404800 269973130336 296673769600 298312851200 308540720384 319494828800 329235524800 332274621952 337466412920 348352426240 376269171200 385675900480 415343277440 421833016150 435440532800 482094875600 497646323200 519179096800 526776839680 539946260672 593347539200 596625702400 617081440768 638989657600 658471049600 674932825840 696704852480 771351800960 830686554880 843666032300 870881065600 964189751200 1038358193600 1079892521344 1186695078400 1316942099200 1349865651680 1542703601920 1661373109760 1687332064600 1741762131200 1928379502400 2076716387200 2159785042688 2633884198400 2699731303360 3085407203840 3374664129200 3483524262400 3856759004800 4153432774400 4319570085376 5399462606720 6749328258400 7713518009600 8306865548800 10798925213440 13498656516800 15427036019200 21597850426880 26997313033600 53994626067200 107989252134400
- Sum of all divisors σ(n): 352410087373344
- Sum of proper divisors (its aliquot sum) s(n): 244420835238944
- 107989252134400 is an abundant number, because the sum of its proper divisors (244420835238944) is greater than itself. Its abundance is 136431583104544
Bases of 107989252134400
- Binary: 110001000110111001101010000001101010110000000002
- Hexadecimal: 0x623735035600
- Base-36: 12A1KSIR5S
Squares and roots of 107989252134400
- 107989252134400 squared (1079892521344002) is 11661678576547014955663360000
- 107989252134400 cubed (1079892521344003) is 1259335948113066488582818220247875584000000
-
The
square root of 107989252134400 is 10391787.7256225745 -
The
cube root of 107989252134400 is 47620.4517683837
Scales and comparisons
How big is 107989252134400?- 107,989,252,134,400 seconds is equal to 3,433,724 years, 9 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 107,989,252,134,400 would take you about eight million, five hundred eighty-four thousand, three hundred ten 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 107989252134400 cubic inches would be around 3968.4 feet tall.
Recreational maths with 107989252134400
- 107989252134400 backwards is 004431252989701
- The number of decimal digits it has is: 15
- The sum of 107989252134400's digits is 55
- More coming soon!
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MLA style:
"Number 107989252134400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 107989252134400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/107989252134400/
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Numbermatics. 2024. "Number 107989252134400 - Facts about the integer". https://numbermatics.com/n/107989252134400/
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