107642329920
107,642,329,920 is an even composite number composed of seven prime numbers multiplied together.
107642329920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 107642329920:
26 × 33 × 5 × 17 × 29 × 37 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 29 × 37 × 683)See below for interesting mathematical facts about the number 107642329920 from the Numbermatics database.
Names of 107642329920
- Cardinal: 107642329920 can be written as One hundred seven billion, six hundred forty-two million, three hundred twenty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.0764232992 × 1011
Factors of 107642329920
Divisors of 107642329920
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 29 30 32 34 36 37 40 45 48 51 54 58 60 64 68 72 74 80 85 87 90 96 102 108 111 116 120 135 136 144 145 148 153 160 170 174 180 185 192 204 216 222 232 240 255 261 270 272 288 290 296 306 320 333 340 348 360 370 408 432 435 444 459 464 480 493 510 522 540 544 555 576 580 592 612 629 666 680 683 696 720 740 765 783 816 864 870 888 918 928 960 986 999 1020 1044 1073 1080 1088 1110 1160 1184 1224 1258 1305 1332 1360 1366 1392 1440 1479 1480 1530 1566 1632 1665 1728 1740 1776 1836 1856 1887 1972 1998 2040 2049 2088 2146 2160 2220 2295 2320 2368 2448 2465 2516 2610 2664 2720 2732 2784 2880 2958 2960 3060 3132 3145 3219 3264 3330 3415 3480 3552 3672 3774 3915 3944 3996 4080 4098 4176 4292 4320 4437 4440 4590 4640 4896 4930 4995 5032 5220 5328 5365 5440 5464 5568 5661 5916 5920 6120 6147 6264 6290 6438 6660 6830 6960 7104 7344 7395 7548 7830 7888 7992 8160 8196 8352 8584 8640 8874 8880 9180 9280 9435 9657 9792 9860 9990 10064 10245 10440 10656 10730 10928 11322 11611 11832 11840 12240 12294 12528 12580 12876 13311 13320 13660 13920 14688 14790 15096 15660 15776 15984 16095 16320 16392 16704 16983 17168 17748 17760 18241 18360 18441 18870 19314 19720 19807 19980 20128 20490 20880 21312 21460 21856 22185 22644 23222 23664 24480 24588 25056 25160 25271 25752 26622 26640 27320 27840 28305 28971 29376 29580 30192 30735 31320 31552 31968 32190 32784 33966 34336 34833 35496 35520 36482 36720 36882 37740 38628 39440 39614 39960 40256 40980 41760 42920 43712 44370 45288 46444 47328 48285 48960 49176 50112 50320 50542 51504 53244 53280 54640 54723 56610 57942 58055 59160 59421 60384 61470 62640 63936 64380 65568 66555 67932 68672 69666 70992 72964 73440 73764 75480 75813 77256 78880 79228 79920 81960 83520 84915 85840 88740 90576 91205 92205 92888 94656 96570 98352 99035 100640 101084 103008 104499 106488 106560 109280 109446 113220 115884 116110 118320 118842 120768 122940 125280 126355 128760 131136 133110 135864 139332 141984 144855 145928 146880 147528 150960 151626 154512 157760 158456 159840 163920 164169 169830 171680 174165 177480 178263 181152 182410 184410 185776 193140 196704 198070 201280 202168 206016 208998 212976 218560 218892 226440 227439 231768 232220 236640 237684 245880 250560 252710 257520 266220 271728 273615 278664 283968 289710 291856 295056 297105 301920 303252 309024 313497 316912 319680 327840 328338 336719 339660 343360 348330 354960 356526 362304 364820 368820 371552 379065 386280 393408 396140 404336 417996 425952 429607 437784 452880 454878 463536 464440 473280 475368 491760 492507 505420 515040 522495 532440 534789 543456 547230 557328 579420 583712 590112 594210 603840 606504 618048 626994 633824 655680 656676 673438 679320 682317 696660 709920 713052 729640 732859 737640 743104 758130 772560 792280 808672 820845 835992 851904 859214 875568 891315 905760 909756 927072 928880 950736 983520 985014 1010157 1010840 1030080 1044990 1064880 1069578 1086912 1094460 1114656 1137195 1158840 1167424 1180224 1188420 1213008 1253988 1267648 1288821 1313352 1346876 1358640 1364634 1393320 1419840 1426104 1459280 1465718 1475280 1516260 1545120 1567485 1584560 1617344 1641690 1671984 1683595 1718428 1751136 1782630 1811520 1819512 1854144 1857760 1901472 1967040 1970028 2020314 2021680 2089980 2129760 2139156 2148035 2188920 2198577 2229312 2274390 2317680 2376840 2426016 2462535 2507976 2577642 2626704 2673945 2693752 2717280 2729268 2786640 2852208 2918560 2931436 2950560 3030471 3032520 3090240 3134970 3169120 3283380 3343968 3367190 3411585 3436856 3502272 3565260 3639024 3664295 3715520 3802944 3866463 3940056 4040628 4043360 4179960 4259520 4278312 4296070 4377840 4397154 4548780 4635360 4753680 4852032 4925070 5015952 5050785 5155284 5253408 5347890 5387504 5434560 5458536 5573280 5704416 5837120 5862872 5901120 6060942 6065040 6269940 6338240 6444105 6566760 6595731 6687936 6734380 6823170 6873712 7130520 7278048 7328590 7732926 7880112 8081256 8086720 8359920 8556624 8592140 8755680 8794308 9091413 9097560 9270720 9507360 9850140 10031904 10101570 10310568 10506816 10695780 10775008 10917072 10992885 11146560 11408832 11599389 11725744 12121884 12130080 12458603 12539880 12888210 13133520 13191462 13468760 13646340 13747424 14261040 14556096 14657180 15152355 15465852 15760224 16162512 16719840 17113248 17184280 17511360 17588616 18182826 18195120 19014720 19332315 19700280 19787193 20063808 20203140 20621136 21391560 21550016 21834144 21985770 23198778 23451488 24243768 24260160 24917206 25079760 25776420 26267040 26382924 26937520 27292680 27494848 28522080 29314360 30304710 30931704 31520448 32325024 32978655 33439680 34226496 34368560 35177232 36365652 36390240 37375809 38664630 39400560 39574386 40406280 41242272 42783120 43668288 43971540 45457065 46397556 46902976 48487536 49834412 50159520 51552840 52534080 52765848 53875040 54585360 57044160 57996945 58628720 60609420 61863408 62293015 64650048 65957310 68737120 70354464 72731304 72780480 74751618 77329260 78801120 79148772 80812560 82484544 85566240 87943080 90914130 92795112 96975072 98935965 99668824 100319040 103105680 105531696 107750080 109170720 112127427 115993890 117257440 121218840 123726816 124586030 131914620 137474240 140708928 145462608 149503236 154658520 157602240 158297544 161625120 171132480 175886160 181828260 185590224 186879045 193950144 197871930 199337648 206211360 211063392 218341440 224254854 231987780 234514880 242437680 247453632 249172060 263829240 290925216 299006472 309317040 316595088 323250240 336382281 351772320 363656520 371180448 373758090 395743860 398675296 412422720 422126784 448509708 463975560 484875360 498344120 527658480 560637135 581850432 598012944 618634080 633190176 672764562 703544640 727313040 742360896 747516180 791487720 797350592 897019416 927951120 969750720 996688240 1055316960 1121274270 1196025888 1237268160 1266380352 1345529124 1454626080 1495032360 1582975440 1681911405 1794038832 1855902240 1993376480 2110633920 2242548540 2392051776 2691058248 2909252160 2990064720 3165950880 3363822810 3588077664 3711804480 3986752960 4485097080 5382116496 5980129440 6331901760 6727645620 7176155328 8970194160 10764232992 11960258880 13455291240 17940388320 21528465984 26910582480 35880776640 53821164960 107642329920
- Sum of all divisors σ(n): 427807526400
- Sum of proper divisors (its aliquot sum) s(n): 320165196480
- 107642329920 is an abundant number, because the sum of its proper divisors (320165196480) is greater than itself. Its abundance is 212522866560
Bases of 107642329920
- Binary: 11001000011111111101110011011010000002
- Hexadecimal: 0x190FFB9B40
- Base-36: 1DG7GPC0
Squares and roots of 107642329920
- 107642329920 squared (1076423299202) is 11586871190606127206400
- 107642329920 cubed (1076423299203) is 1247237811439767949524796735488000
-
The
square root of 107642329920 is 328088.9055119055 -
The
cube root of 107642329920 is 4756.9402504873
Scales and comparisons
How big is 107642329920?- 107,642,329,920 seconds is equal to 3,422 years, 36 weeks, 7 hours, 12 minutes.
-
To count from 1 to 107,642,329,920 would take you about six thousand, eight hundred forty-five 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 107642329920 cubic inches would be around 396.4 feet tall.
Recreational maths with 107642329920
- 107642329920 backwards is 029923246701
- 107642329920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 107642329920's digits is 45
- More coming soon!
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