213828001920
213,828,001,920 is an even composite number composed of seven prime numbers multiplied together.
213828001920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 213828001920:
27 × 32 × 5 × 13 × 172 × 41 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 17 × 41 × 241)See below for interesting mathematical facts about the number 213828001920 from the Numbermatics database.
Names of 213828001920
- Cardinal: 213828001920 can be written as Two hundred thirteen billion, eight hundred twenty-eight million, one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 2.1382800192 × 1011
Factors of 213828001920
Divisors of 213828001920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 41 45 48 51 52 60 64 65 68 72 78 80 82 85 90 96 102 104 117 120 123 128 130 136 144 153 156 160 164 170 180 192 195 204 205 208 221 234 240 241 246 255 260 272 288 289 306 312 320 328 340 360 369 384 390 408 410 416 442 468 480 482 492 510 520 533 544 576 578 585 612 615 624 640 656 663 680 697 720 723 738 765 780 816 820 832 867 884 936 960 964 984 1020 1040 1066 1088 1105 1152 1156 1170 1205 1224 1230 1248 1312 1326 1360 1394 1440 1445 1446 1476 1530 1560 1599 1632 1640 1664 1734 1768 1845 1872 1920 1928 1968 1989 2040 2080 2091 2132 2169 2176 2210 2312 2340 2410 2448 2460 2496 2601 2624 2652 2665 2720 2788 2880 2890 2892 2952 3060 3120 3133 3198 3264 3280 3315 3468 3485 3536 3615 3690 3744 3757 3856 3936 3978 4080 4097 4160 4182 4264 4335 4338 4420 4624 4680 4797 4820 4896 4920 4992 5202 5248 5304 5330 5440 5576 5760 5780 5784 5904 6120 6240 6266 6273 6396 6528 6560 6630 6936 6970 7072 7230 7380 7488 7514 7712 7872 7956 7995 8160 8194 8320 8364 8528 8670 8676 8840 9061 9248 9360 9399 9594 9640 9792 9840 9881 9945 10404 10455 10608 10660 10845 10880 11152 11271 11560 11568 11808 11849 12240 12291 12480 12532 12546 12792 13005 13120 13260 13872 13940 14144 14460 14760 14976 15028 15424 15665 15744 15912 15990 16320 16388 16728 17056 17340 17352 17680 18122 18496 18720 18785 18798 19188 19280 19584 19680 19762 19890 20485 20808 20910 21216 21320 21690 22304 22542 23120 23136 23616 23698 23985 24480 24582 24960 25064 25092 25584 26010 26240 26520 27183 27744 27880 28197 28288 28920 29520 29643 30056 30848 31330 31365 31824 31980 32640 32776 33456 33813 34112 34680 34704 35360 35547 36244 36873 36992 37440 37570 37596 38376 38560 39360 39524 39780 40970 41616 41820 42432 42640 43380 44608 45084 45305 46240 46272 46995 47232 47396 47970 48960 49164 49405 50128 50184 51168 52020 53040 53261 54366 55488 55760 56355 56394 57840 59040 59245 59286 60112 61455 62660 62730 63648 63960 65552 66912 67626 68224 69360 69408 69649 70720 71094 72488 73746 74880 75140 75192 76752 77120 78720 79048 79560 81549 81940 83232 83640 84864 85280 86760 88929 89216 90168 90610 92480 92544 93990 94792 95940 97920 98328 98810 100256 100368 102336 104040 106080 106522 106641 108732 110976 111520 112710 112788 115680 118080 118490 118572 120224 122910 125320 125460 127296 127920 128453 131104 133824 135252 135915 138720 138816 139298 140985 141440 142188 144976 147492 148215 150280 150384 153504 154037 154240 158096 159120 159783 163098 163880 166464 167280 167977 169065 170560 173520 177735 177858 180336 181220 184365 184960 187980 189584 191880 196656 197620 200512 200736 204672 208080 208947 212160 213044 213282 217464 223040 225420 225576 231360 236160 236980 237144 240448 245820 250640 250920 254592 255840 256906 262208 266305 267648 270504 271830 277440 277632 278596 281970 284376 289952 294984 296430 300560 300768 307008 308074 316192 318240 319566 326196 327760 332928 334560 335954 338130 341120 347040 348245 355470 355716 360672 362440 368730 375960 379168 383760 385359 393312 395240 401024 401472 407745 416160 417894 424320 426088 426564 434928 444645 446080 450840 451152 462111 462720 473960 474288 479349 480896 491640 501280 501840 503931 511680 513812 524416 532610 533205 541008 543660 554880 557192 563940 568752 579904 589968 592860 601120 601536 614016 616148 626841 632384 636480 639132 642265 652392 655520 669120 671908 676260 694080 696490 710940 711432 721344 724880 737460 751920 758336 767520 770185 770718 786624 790480 798915 802944 815490 832320 835788 839885 852176 853128 869856 889290 901680 902304 905437 924222 947920 948576 958698 983280 1002560 1003680 1007862 1023360 1027624 1044735 1065220 1066410 1082016 1087320 1114384 1127880 1137504 1156077 1159808 1179936 1185720 1202240 1203072 1232296 1253682 1264768 1272960 1278264 1284530 1304784 1311040 1338240 1343816 1352520 1386333 1388160 1392980 1421880 1422864 1442688 1449760 1474920 1503840 1511793 1516672 1535040 1540370 1541436 1573248 1580960 1597830 1630980 1664640 1671576 1679770 1704352 1706256 1739712 1778580 1803360 1804608 1810874 1848444 1895840 1897152 1917396 1926795 1966560 2005120 2007360 2015724 2055248 2089470 2130440 2132820 2164032 2174640 2183701 2228768 2255760 2275008 2310555 2312154 2359872 2371440 2396745 2404480 2464592 2507364 2519655 2556528 2569060 2609568 2622080 2687632 2705040 2716311 2772666 2785960 2843760 2845728 2855609 2899520 2949840 3007680 3023586 3070080 3080740 3082872 3134205 3161920 3195660 3261960 3343152 3359540 3408704 3412512 3479424 3557160 3606720 3609216 3621748 3696888 3791680 3794304 3834792 3853590 3933120 4014720 4031448 4110496 4178940 4260880 4265640 4328064 4349280 4367402 4457536 4511520 4527185 4550016 4621110 4624308 4719744 4742880 4793490 4929184 5014728 5039310 5113056 5138120 5219136 5375264 5410080 5432622 5545332 5571920 5687520 5691456 5711218 5780385 5799040 5899680 6015360 6047172 6161480 6165744 6268410 6323840 6391320 6523920 6551103 6686304 6719080 6817408 6825024 6931665 7114320 7213440 7243496 7393776 7558965 7583360 7669584 7707180 7866240 8062896 8148933 8220992 8357880 8521760 8531280 8566827 8698560 8734804 8915072 9023040 9054370 9242220 9248616 9485760 9586980 9858368 10029456 10078620 10226112 10276240 10438272 10750528 10820160 10865244 10918505 11090664 11143840 11375040 11382912 11422436 11560770 11799360 12094344 12322960 12331488 12536820 12782640 13047840 13102206 13372608 13438160 13581555 13650048 13863330 14228640 14278045 14486992 14787552 15117930 15339168 15414360 16125792 16297866 16441984 16715760 17043520 17062560 17133654 17397120 17469608 18046080 18108740 18484440 18497232 18971520 19173960 19653309 19716736 20058912 20157240 20452224 20552480 21501056 21640320 21730488 21837010 22181328 22287680 22750080 22844872 23121540 23598720 24188688 24645920 24662976 25073640 25565280 25700481 26095680 26204412 26745216 26876320 27163110 27726660 28457280 28556090 28973984 29575104 30235860 30678336 30828720 32251584 32595732 32755515 33431520 34087040 34125120 34267308 34939216 36217480 36968880 36994464 37122917 38347920 39306618 40117824 40314480 40744665 41104960 42834135 43460976 43674020 44362656 44575360 45689744 46243080 48377376 49291840 49325952 50147280 51130560 51400962 52191360 52408824 53752640 54326220 55453320 56914560 57112180 57947968 59150208 60471720 61356672 61657440 64503168 65191464 65511030 66863040 68250240 68534616 69878432 72434960 73937760 73988928 74245834 76695840 78613236 80235648 80628960 81489330 82209920 85668270 86921952 87348040 88725312 91379488 92486160 96754752 98266545 98583680 100294560 102261120 102801924 104817648 107505280 108652440 110906640 111368751 114224360 115895936 120943440 123314880 128502405 130382928 131022060 133726080 137069232 139756864 144869920 147875520 147977856 148491668 153391680 157226472 161257920 162978660 171336540 173843904 174696080 177450624 182758976 184972320 185614585 193509504 196533090 200589120 205603848 209635296 217304880 221813280 222737502 228448720 241886880 246629760 257004810 260765856 262044120 274138464 279513728 289739840 295751040 296983336 306783360 314452944 322515840 325957320 334106253 342673080 347687808 349392160 365517952 369944640 371229170 393066180 401178240 411207696 419270592 434609760 443626560 445475004 456897440 483773760 514009620 521531712 524088240 548276928 556843755 579479680 593966672 628905888 651914640 668212506 685346160 698784320 739889280 742458340 786132360 822415392 838541184 869219520 887253120 890950008 913794880 967547520 1028019240 1043063424 1048176480 1096553856 1113687510 1187933344 1257811776 1303829280 1336425012 1370692320 1397568640 1484916680 1572264720 1644830784 1670531265 1738439040 1781900016 1827589760 2056038480 2096352960 2227375020 2375866688 2515623552 2607658560 2672850024 2741384640 2969833360 3144529440 3289661568 3341062530 3563800032 4112076960 4192705920 4454750040 4751733376 5215317120 5345700048 5482769280 5939666720 6289058880 6682125060 7127600064 8224153920 8909500080 10691400096 11879333440 12578117760 13364250120 14255200128 16448307840 17819000160 21382800192 23758666880 26728500240 35638000320 42765600384 53457000480 71276000640 106914000960 213828001920
- Sum of all divisors σ(n): 868892104080
- Sum of proper divisors (its aliquot sum) s(n): 655064102160
- 213828001920 is an abundant number, because the sum of its proper divisors (655064102160) is greater than itself. Its abundance is 441236100240
Bases of 213828001920
- Binary: 110001110010010010010001100000100000002
- Hexadecimal: 0x31C9246080
- Base-36: 2Q8BO680
Squares and roots of 213828001920
- 213828001920 squared (2138280019202) is 45722414405099523686400
- 213828001920 cubed (2138280019203) is 9776732515200656608606624677888000
-
The
square root of 213828001920 is 462415.3997435639 -
The
cube root of 213828001920 is 5979.8211182011
Scales and comparisons
How big is 213828001920?- 213,828,001,920 seconds is equal to 6,799 years, 3 weeks, 4 days, 3 hours, 12 minutes.
-
To count from 1 to 213,828,001,920 would take you about thirteen thousand, five hundred ninety-eight 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 213828001920 cubic inches would be around 498.3 feet tall.
Recreational maths with 213828001920
- 213828001920 backwards is 029100828312
- 213828001920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213828001920's digits is 36
- More coming soon!
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"Number 213828001920 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 213828001920 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/213828001920/
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The information we have on file for 213828001920 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!
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