42145997946624
42,145,997,946,624 is an even composite number composed of six prime numbers multiplied together.
What does the number 42145997946624 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
42145997946624 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42145997946624:
28 × 311 × 11 × 13 × 67 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 67 × 97)See below for interesting mathematical facts about the number 42145997946624 from the Numbermatics database.
Names of 42145997946624
- Cardinal: 42145997946624 can be written as Forty-two trillion, one hundred forty-five billion, nine hundred ninety-seven million, nine hundred forty-six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 4.2145997946624 × 1013
Factors of 42145997946624
Divisors of 42145997946624
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 67 72 78 81 88 96 97 99 104 108 117 128 132 134 143 144 156 162 176 192 194 198 201 208 216 234 243 256 264 268 286 288 291 297 312 324 351 352 384 388 396 402 416 429 432 468 486 528 536 572 576 582 594 603 624 648 702 704 729 737 768 776 792 804 832 858 864 871 873 891 936 972 1053 1056 1067 1072 1144 1152 1164 1188 1206 1248 1261 1287 1296 1404 1408 1458 1474 1552 1584 1608 1664 1716 1728 1742 1746 1782 1809 1872 1944 2106 2112 2134 2144 2187 2211 2288 2304 2328 2376 2412 2496 2522 2574 2592 2613 2619 2673 2808 2816 2916 2948 3104 3159 3168 3201 3216 3328 3432 3456 3484 3492 3564 3618 3744 3783 3861 3888 4212 4224 4268 4288 4374 4422 4576 4656 4752 4824 4992 5044 5148 5184 5226 5238 5346 5427 5616 5832 5896 6208 6318 6336 6402 6432 6499 6561 6633 6864 6912 6968 6984 7128 7236 7488 7566 7722 7776 7839 7857 8019 8424 8448 8536 8576 8748 8844 9152 9312 9477 9504 9581 9603 9648 9984 10088 10296 10368 10452 10476 10692 10854 11232 11349 11583 11664 11792 12416 12636 12672 12804 12864 12998 13122 13266 13728 13871 13936 13968 14256 14472 14976 15132 15444 15552 15678 15714 16038 16281 16848 17072 17152 17496 17688 18304 18624 18954 19008 19162 19206 19296 19497 19683 19899 20176 20592 20736 20904 20952 21384 21708 22464 22698 23166 23328 23517 23571 23584 24057 24832 25272 25344 25608 25728 25996 26244 26532 27456 27742 27872 27936 28431 28512 28743 28809 28944 29952 30264 30888 31104 31356 31428 32076 32562 33696 34047 34144 34749 34992 35376 36608 37248 37908 38016 38324 38412 38592 38994 39366 39798 40352 41184 41613 41808 41904 42768 43416 44928 45396 46332 46656 47034 47142 47168 48114 48843 50544 51216 51456 51992 52488 53064 54912 55484 55744 55872 56862 57024 57486 57618 57888 58491 59049 59697 60528 61776 62208 62712 62856 64152 65124 67392 68094 68288 69498 69984 70551 70713 70752 71489 72171 74496 75816 76032 76648 76824 77184 77988 78732 79596 80704 82368 83226 83616 83808 84487 85293 85536 86229 86427 86832 89856 90792 92664 93312 94068 94284 94336 96228 97686 101088 102141 102432 103984 104247 104976 106128 109824 110968 111488 111744 113724 114048 114972 115236 115776 116982 118098 119394 121056 123552 124839 125424 125712 128304 130248 134784 136188 136576 138996 139968 141102 141426 141504 142978 144342 146529 151632 153296 153648 154368 155976 157464 159192 161408 164736 166452 167232 167616 168974 170586 171072 172458 172854 173664 175473 177147 179091 181584 185328 186624 188136 188568 188672 192456 195372 202176 204282 204864 207968 208494 209952 211653 212139 212256 214467 216513 221936 222976 223488 227448 228096 229944 230472 231552 233964 236196 238788 242112 247104 249678 250848 251424 253461 255879 256608 258687 259281 260496 269568 272376 273152 277992 279936 282204 282852 283008 285956 288684 293058 303264 306423 306592 307296 311952 312741 314928 318384 322816 329472 332904 334464 335232 337948 341172 342144 344916 345708 347328 350946 354294 358182 363168 370656 374517 376272 377136 384912 390744 404352 408564 409728 415936 416988 419904 423306 424278 424512 428934 433026 439587 443872 454896 459888 460944 463104 467928 472392 477576 484224 494208 499356 501696 502848 506922 511758 513216 517374 518562 520992 526419 537273 544752 555984 559872 564408 565704 566016 571912 577368 586116 606528 612846 613184 614592 623904 625482 629856 634959 636417 636768 643401 649539 665808 668928 670464 675896 682344 684288 689832 691416 694656 701892 708588 716364 726336 741312 749034 752544 754272 760383 767637 769824 776061 777843 781488 808704 817128 819456 831872 833976 839808 846612 848556 849024 857868 866052 879174 887744 909792 919269 919776 921888 929357 935856 938223 944784 955152 968448 988416 998712 1003392 1005696 1013844 1023516 1026432 1034748 1037124 1041984 1052838 1074546 1089504 1111968 1123551 1128816 1131408 1143824 1154736 1172232 1213056 1225692 1226368 1229184 1247808 1250964 1259712 1269918 1272834 1273536 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6353987328 6423715584 6484997376 6552549432 6583254912 6651830484 6670781568 6788981628 7148235744 7226680032 7504629264 7765984512 7883650944 8046200448 8064676224 8130015036 8186868288 8355669696 8442707922 8736732576 8869107312 9051975504 9210226824 9530980992 9635573376 9828824148 9874882368 9977745726 10006172352 10840020048 10915824384 11140892928 11256943896 11648976768 11825476416 12069300672 12097014336 12195022554 12280302432 12664061883 13105098864 13166509824 13303660968 13341563136 13577963256 14296471488 14453360064 14966618589 15009258528 15767301888 16092400896 16129352448 16260030072 16373736576 16711339392 16885415844 17473465152 17738214624 18103951008 18292533831 18420453648 19061961984 19271146752 19657648296 19749764736 19955491452 20012344704 21680040096 22513887792 23297953536 23650952832 24138601344 24194028672 24390045108 24560604864 25328123766 26210197728 26607321936 27155926512 28592942976 28906720128 29933237178 30018517056 32520060144 32747473152 33422678784 33770831688 34946930304 35476429248 36207902016 36585067662 36840907296 39315296592 39499529472 39910982904 40024689408 43360080192 45027775584 47301905664 48277202688 48388057344 48780090216 49121209728 50656247532 52420395456 53214643872 54311853024 54877601493 57185885952 57813440256 59866474356 60037034112 65040120288 67541663376 69893860608 70952858496 72415804032 73170135324 73681814592 78630593184 79821965808 86720160384 90055551168 97560180432 98242419456 101312495064 104840790912 106429287744 108623706048 109755202986 119732948712 120074068224 130080240576 135083326752 141905716992 144831608064 146340270648 147363629184 157261186368 159643931616 164632804479 173440320768 180111102336 195120360864 202624990128 209681581824 212858575488 217247412096 219510405972 239465897424 260160481152 270166653504 292680541296 294727258368 314522372736 319287863232 329265608958 360222204672 390240721728 405249980256 425717150976 434494824192 439020811944 478931794848 520320962304 540333307008 585361082592 629044745472 638575726464 658531217916 780481443456 810499960512 878041623888 957863589696 1080666614016 1170722165184 1277151452928 1317062435832 1560962886912 1620999921024 1756083247776 1915727179392 2341444330368 2634124871664 3241999842048 3512166495552 3831454358784 4682888660736 5268249743328 7024332991104 10536499486656 14048665982208 21072998973312 42145997946624
- Sum of all divisors σ(n): 152016039651840
- Sum of proper divisors (its aliquot sum) s(n): 109870041705216
- 42145997946624 is an abundant number, because the sum of its proper divisors (109870041705216) is greater than itself. Its abundance is 67724043758592
Bases of 42145997946624
- Binary: 10011001010100111000010011110001111111000000002
- Hexadecimal: 0x2654E13C7F00
- Base-36: EXTLR0000
Squares and roots of 42145997946624
- 42145997946624 squared (421459979466242) is 1776285142916834424352997376
- 42145997946624 cubed (421459979466243) is 74863309985991622026783624468635660058624
-
The
square root of 42145997946624 is 6491994.9127078033 -
The
cube root of 42145997946624 is 34800.4970716157
Scales and comparisons
How big is 42145997946624?- 42,145,997,946,624 seconds is equal to 1,340,112 years, 19 weeks, 1 day, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 42,145,997,946,624 would take you about three million, three hundred fifty thousand, two hundred eighty 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 42145997946624 cubic inches would be around 2900 feet tall.
Recreational maths with 42145997946624
- 42145997946624 backwards is 42664979954124
- 42145997946624 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42145997946624's digits is 72
- More coming soon!
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"Number 42145997946624 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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Numbermatics. (2024). Number 42145997946624 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/42145997946624/
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The information we have on file for 42145997946624 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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