400428112645968
400,428,112,645,968 is an even composite number composed of eight prime numbers multiplied together.
What does the number 400428112645968 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1280 divisors.
400428112645968 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 400428112645968:
24 × 3 × 113 × 19 × 37 × 113 × 257 × 307
(2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 19 × 37 × 113 × 257 × 307)See below for interesting mathematical facts about the number 400428112645968 from the Numbermatics database.
Names of 400428112645968
- Cardinal: 400428112645968 can be written as Four hundred trillion, four hundred twenty-eight billion, one hundred twelve million, six hundred forty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.00428112645968 × 1014
Factors of 400428112645968
Divisors of 400428112645968
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 19 22 24 33 37 38 44 48 57 66 74 76 88 111 113 114 121 132 148 152 176 209 222 226 228 242 257 264 296 304 307 339 363 407 418 444 452 456 484 514 528 592 614 627 678 703 726 771 814 836 888 904 912 921 968 1028 1221 1228 1243 1254 1331 1356 1406 1452 1542 1628 1672 1776 1808 1842 1936 2056 2109 2147 2299 2442 2456 2486 2508 2662 2712 2812 2827 2904 3084 3256 3344 3377 3684 3729 3993 4112 4181 4218 4294 4477 4598 4883 4884 4912 4972 5016 5324 5424 5624 5654 5808 5833 6168 6441 6512 6754 6897 7368 7458 7733 7986 8362 8436 8481 8588 8954 9196 9509 9766 9768 9944 10032 10131 10648 11248 11308 11359 11666 12336 12543 12882 13431 13508 13673 13794 14649 14736 14916 15466 15972 16724 16872 16962 17176 17499 17908 18392 19018 19532 19536 19888 20262 21296 22616 22718 23199 23332 23617 25086 25289 25764 26862 27016 27346 27588 28527 29041 29298 29832 30932 31097 31944 33448 33744 33924 34077 34352 34691 34998 35816 36784 37147 38036 39064 40524 41019 45232 45436 45991 46398 46664 47234 49247 50172 50578 51528 53713 53724 54032 54692 55176 57054 58082 58596 59664 61864 62194 63888 64163 66896 67848 68154 69382 69996 70851 71632 74294 75867 76072 78128 78899 79439 81048 82038 85063 87123 90872 91982 92796 93291 93328 94468 98494 100344 101156 103056 104073 104599 107426 107448 109384 110352 111441 114108 116164 117192 123728 124388 124949 128326 135696 136308 137973 138764 139992 141702 147741 148588 150403 151734 152144 157798 158878 161139 162096 164076 170126 174246 180671 181744 183964 185592 186582 188936 192489 196988 200688 202312 208146 209198 214852 214896 215821 218768 222882 228216 232328 234384 236697 238317 248776 249898 255189 256652 259787 272616 275946 277528 279984 283404 295482 297176 300806 303468 313797 315596 317756 319451 322278 328152 340252 342067 348492 361342 367928 371184 373164 374847 377872 381601 384978 393976 404624 408617 416292 418396 429704 431642 445764 451209 456432 464656 473394 476634 497552 499796 505901 510378 513304 519574 542013 545232 551779 551892 555056 566808 590843 590964 594352 601612 606936 627594 631192 635512 638902 644556 647463 656304 659129 680504 684134 696984 705793 722684 735856 746328 749694 763202 769956 779361 787952 817234 832584 836792 859408 863284 867889 873829 891528 902418 935693 946788 953268 958353 999592 1011802 1020756 1026201 1026608 1039148 1074517 1084026 1103558 1103784 1133616 1144803 1150589 1181686 1181928 1203224 1213872 1225851 1255188 1262384 1271024 1277804 1283567 1289112 1294926 1318258 1361008 1368268 1374439 1393968 1411586 1445368 1492656 1499081 1499388 1517703 1526404 1539912 1558722 1634468 1655337 1665168 1673584 1726568 1735778 1747658 1772529 1783056 1804836 1871386 1893576 1906536 1916706 1977387 1987381 1999184 2023604 2041512 2052402 2078296 2117379 2149034 2168052 2207116 2207568 2289606 2301178 2363372 2363856 2374031 2406448 2451702 2510376 2555608 2567134 2578224 2589852 2603667 2621487 2636516 2736536 2748878 2807079 2823172 2857657 2890736 2919263 2998162 2998776 3035406 3052808 3079824 3117444 3223551 3268936 3310674 3451767 3453136 3471556 3495316 3513961 3545058 3609672 3742772 3787152 3813072 3833412 3850701 3954774 3974762 4047208 4083024 4104804 4123317 4156592 4197611 4234758 4298068 4336104 4414232 4497243 4579212 4602356 4726744 4748062 4903404 5020752 5111216 5134268 5179704 5207334 5242974 5273032 5473072 5497756 5564911 5614158 5646344 5715314 5838526 5962143 5996324 5997552 6069569 6070812 6105616 6234888 6447102 6499273 6537872 6621348 6903534 6943112 6990632 7027922 7090116 7122093 7219344 7250419 7485544 7666824 7701402 7763723 7909548 7949524 8094416 8209608 8246634 8395222 8469516 8572971 8596136 8672208 8757789 8828464 8915587 8994486 9158424 9204712 9453488 9496124 9546779 9612119 9806808 10268536 10359408 10414668 10485948 10541883 10546064 10995512 11129822 11228316 11292688 11430628 11677052 11819687 11924286 11992648 12139138 12141624 12469776 12592833 12656479 12894204 12998546 13242696 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725703792 734417849 738779536 770685432 780099342 784571656 791514768 801183108 804796509 840116552 845866472 861773253 877300699 887455952 898296212 927685704 931869642 957055308 961892404 979959504 989630157 1016376918 1040132456 1049337168 1059692469 1068244144 1073062012 1078786027 1088332806 1108169304 1149031004 1170613104 1176857484 1220251934 1242492856 1253488368 1260174828 1268799708 1276073744 1319506876 1331183928 1347444318 1355169224 1412923292 1430182127 1442838606 1451110408 1468835698 1541370864 1560198684 1569143312 1602366216 1609593018 1680233104 1691732944 1708427677 1723546506 1754601398 1796592424 1830377901 1855371408 1863357683 1863739284 1914110616 1923784808 1979260314 1995276811 2032753836 2080264912 2119384938 2146124024 2157572054 2176665612 2203253547 2216338608 2298062008 2353714968 2440503868 2470314583 2484985712 2520349656 2537599416 2631902097 2639013752 2662367856 2694888636 2710338448 2825846584 2860364254 2885677212 2902220816 2937671396 2950920533 3120397368 3204732432 3219186036 3236358081 3416855354 3447093012 3509202796 3593184848 3628643909 3660755802 3726715366 3727478568 3828221232 3847569616 3885539053 3958520628 3990553622 4065507672 4238769876 4290546381 4292248048 4315144108 4353331224 4406507094 4596124016 4707429936 4881007736 4940629166 5040699312 5075198832 5125283031 5263804194 5278027504 5389777272 5590073049 5651693168 5720728508 5771354424 5875342792 5901841066 5985830433 6240794736 6267657661 6438372072 6472716162 6711385637 6833710708 6894186024 7018405592 7257287818 7321511604 7410943749 7453430732 7454957136 7771078106 7917041256 7981107244 8131015344 8477539752 8581092762 8630288216 8706662448 8813014188 8852761599 9762015472 9881258332 10250566062 10527608388 10779554544 10885931727 11180146098 11441457016 11542708848 11656617159 11750685584 11803682132 11866646297 11971660866 12535315322 12876744144 12945432324 13422771274 13667421416 13788372048 14036811184 14514575636 14643023208 14821887498 14906861464 15542156212 15834082512 15962214488 16955079504 17162185524 17260576432 17626028376 17705523198 18802972983 19762516664 20134156911 20496934513 20501132124 21055216776 21771863454 22360292196 22882914032 23313234318 23607364264 23733292594 23943321732 25070630644 25890864648 26845542548 27173460413 27334842832 29029151272 29286046416 29643774996 29813722928 31084312424 31924428976 32460125863 34324371048 35252056752 35411046396 35599938891 37605945966 39525033328 39915082999 40268313822 40993869026 41002264248 42110433552 43543726908 44720584392 46626468636 47214728528 47466585188 47886643464 50141261288 51781729296 53691085096 54346920826 58058302544 59287549992 61490803539 62168624848 64920251726 68648742096 68944234271 70822092792 71199877782 73825242007 75211891932 79830165998 80536627644 81520381239 81987738052 82004528496 87087453816 89441168784 93252937272 94933170376 95773286928 97380377589 100282522576 107382170192 108693841652 118575099984 119745248997 122981607078 129840503452 137888468542 141644185584 142399755564 147650484014 150423783864 159660331996 161073255288 163040762478 163975476104 174174907632 186505874544 189866340752 194760755178 206832702813 217387683304 221475726021 225466279643 239490497994 245963214156 259681006904 275776937084 284799511128 295300968028 300847567728 319320663992 322146510576 326081524956 327950952208 389521510356 413665405626 434775366608 439065912989 442951452042 450932559286 478980995988 491926428312 519362013808 551553874168 569599022256 590601936056 638641327984 652163049912 676398838929 758386576981 779043020712 827330811252 878131825978 885902904084 901865118572 957961991976 983852856624 1103107748336 1181203872112 1304326099824 1317197738967 1352797677858 1516773153962 1558086041424 1654661622504 1756263651956 1771805808168 1803730237144 1915923983952 2275159730943 2634395477934 2705595355716 3033546307924 3309323245008 3512527303912 3543611616336 3607460474288 4550319461886 5268790955868 5411190711432 6067092615848 7025054607824 8342252346791 9100638923772 10537581911736 10822381422864 12134185231696 16684504693582 18201277847544 21075163823472 25026757040373 33369009387164 36402555695088 50053514080746 66738018774328 100107028161492 133476037548656 200214056322984 400428112645968
- Sum of all divisors σ(n): 1249831965634560
- Sum of proper divisors (its aliquot sum) s(n): 849403852988592
- 400428112645968 is an abundant number, because the sum of its proper divisors (849403852988592) is greater than itself. Its abundance is 448975740342624
Bases of 400428112645968
- Binary: 10110110000101111111011110110100110001111010100002
- Hexadecimal: 0x16C2FEF698F50
- Base-36: 3XXU4VISEO
Squares and roots of 400428112645968
- 400428112645968 squared (4004281126459682) is 160342673397212037722106657024
- 400428112645968 cubed (4004281126459683) is 64205714085054478377786214918025651712479232
-
The
square root of 400428112645968 is 20010699.9539238507 -
The
cube root of 400428112645968 is 73706.9069416625
Scales and comparisons
How big is 400428112645968?- 400,428,112,645,968 seconds is equal to 12,732,375 years, 19 weeks, 4 days, 2 hours, 32 minutes, 48 seconds.
-
To count from 1 to 400,428,112,645,968 would take you about thirty-one million, eight hundred thirty thousand, nine hundred thirty-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 400428112645968 cubic inches would be around 6142.2 feet tall.
Recreational maths with 400428112645968
- 400428112645968 backwards is 869546211824004
- The number of decimal digits it has is: 15
- The sum of 400428112645968's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 400428112645968 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 400428112645968 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/400428112645968/
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The information we have on file for 400428112645968 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 400428112645968, math, Factors of 400428112645968, curriculum, school, college, exams, university, Prime factorization of 400428112645968, STEM, science, technology, engineering, physics, economics, calculator, four hundred trillion, four hundred twenty-eight billion, one hundred twelve million, six hundred forty-five thousand, nine hundred sixty-eight.