40575813138432
40,575,813,138,432 is an even composite number composed of six prime numbers multiplied together.
What does the number 40575813138432 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
40575813138432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 40575813138432:
211 × 34 × 11 × 13 × 37 × 46229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 13 × 37 × 46229)See below for interesting mathematical facts about the number 40575813138432 from the Numbermatics database.
Names of 40575813138432
- Cardinal: 40575813138432 can be written as Forty trillion, five hundred seventy-five billion, eight hundred thirteen million, one hundred thirty-eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 4.0575813138432 × 1013
Factors of 40575813138432
Divisors of 40575813138432
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 37 39 44 48 52 54 64 66 72 74 78 81 88 96 99 104 108 111 117 128 132 143 144 148 156 162 176 192 198 208 216 222 234 256 264 286 288 296 297 312 324 333 351 352 384 396 407 416 429 432 444 468 481 512 528 572 576 592 594 624 648 666 702 704 768 792 814 832 858 864 888 891 936 962 999 1024 1053 1056 1144 1152 1184 1188 1221 1248 1287 1296 1332 1404 1408 1443 1536 1584 1628 1664 1716 1728 1776 1782 1872 1924 1998 2048 2106 2112 2288 2304 2368 2376 2442 2496 2574 2592 2664 2808 2816 2886 2997 3072 3168 3256 3328 3432 3456 3552 3564 3663 3744 3848 3861 3996 4212 4224 4329 4576 4608 4736 4752 4884 4992 5148 5184 5291 5328 5616 5632 5772 5994 6144 6336 6512 6656 6864 6912 7104 7128 7326 7488 7696 7722 7992 8424 8448 8658 9152 9216 9472 9504 9768 9984 10296 10368 10582 10656 10989 11232 11264 11544 11583 11988 12672 12987 13024 13312 13728 13824 14208 14256 14652 14976 15392 15444 15873 15984 16848 16896 17316 18304 18432 18944 19008 19536 19968 20592 20736 21164 21312 21978 22464 22528 23088 23166 23976 25344 25974 26048 26624 27456 27648 28416 28512 29304 29952 30784 30888 31746 31968 32967 33696 33792 34632 36608 37888 38016 38961 39072 39936 41184 41472 42328 42624 43956 44928 46176 46229 46332 47619 47952 50688 51948 52096 54912 55296 56832 57024 58608 59904 61568 61776 63492 63936 65934 67392 67584 69264 73216 75776 76032 77922 78144 79872 82368 82944 84656 85248 87912 89856 92352 92458 92664 95238 95904 101376 103896 104192 109824 113664 114048 117216 119808 123136 123552 126984 127872 131868 134784 138528 138687 142857 146432 152064 155844 156288 164736 165888 169312 170496 175824 179712 184704 184916 185328 190476 191808 202752 207792 208384 219648 227328 228096 234432 239616 246272 247104 253968 255744 263736 269568 277056 277374 285714 292864 304128 311688 312576 329472 338624 340992 351648 359424 369408 369832 370656 380952 383616 415584 416061 416768 428571 439296 456192 468864 492544 494208 507936 508519 511488 527472 539136 554112 554748 571428 600977 608256 623376 625152 658944 677248 681984 703296 718848 738816 739664 741312 761904 767232 831168 832122 833536 857142 878592 912384 937728 985088 988416 1015872 1017038 1022976 1054944 1078272 1108224 1109496 1142856 1201954 1246752 1248183 1250304 1317888 1354496 1406592 1477632 1479328 1482624 1523808 1525557 1534464 1662336 1664244 1710473 1714284 1802931 1824768 1875456 1976832 2031744 2034076 2045952 2109888 2156544 2216448 2218992 2285712 2403908 2493504 2496366 2500608 2635776 2708992 2813184 2955264 2958656 2965248 3047616 3051114 3068928 3324672 3328488 3420946 3428568 3605862 3744549 3750912 3953664 4063488 4068152 4219776 4432896 4437984 4571424 4576671 4807816 4987008 4992732 5131419 5408793 5417984 5626368 5917312 5930496 6095232 6102228 6137856 6610747 6649344 6656976 6841892 6857136 7211724 7489098 7501824 7907328 8126976 8136304 8439552 8865792 8875968 9142848 9153342 9615632 9974016 9985464 10262838 10817586 10835968 11252736 11834624 11860992 12190464 12204456 13221494 13298688 13313952 13683784 13714272 13730013 14423448 14978196 15394257 16226379 16253952 16272608 16879104 17751936 18285696 18306684 18815203 19231264 19832241 19948032 19970928 20525676 21635172 22236149 22505472 23669248 23721984 24380928 24408912 26442988 26597376 26627904 27367568 27428544 27460026 28846896 29956392 30788514 32452758 32507904 32545216 33758208 35503872 36571392 36613368 37630406 38462528 39664482 39896064 39941856 41051352 41190039 43270344 44472298 46182771 47338496 48679137 48761856 48817824 52885976 53255808 54735136 54857088 54920052 56445609 57693792 59496723 59912784 61577028 64905516 65090432 66708447 67516416 71007744 73142784 73226736 75260812 76925056 79328964 79792128 79883712 82102704 82380078 86540688 88944596 92365542 94676992 97358274 97523712 97635648 105771952 106511616 109470272 109714176 109840104 112891218 115387584 118993446 119825568 123154056 129811032 130180864 133416894 138548313 142015488 146285568 146453472 150521624 153850112 158657928 159767424 164205408 164760156 169336827 173081376 177889192 178490169 184731084 194716548 195271296 200125341 211543904 213023232 218940544 219428352 219680208 225782436 230775168 237986892 239651136 244597639 246308112 259622064 260361728 266833788 277096626 284030976 292571136 292906944 301043248 307700224 317315856 319534848 328410816 329520312 338673654 346162752 355778384 356980338 369462168 389433096 390542592 400250682 423087808 426046464 437881088 438856704 439360416 451564872 461550336 475973784 479302272 489195278 492616224 508010481 519244128 520723456 533667576 535470507 554193252 585813888 600376023 602086496 615400448 634631712 639069696 656821632 659040624 677347308 692325504 711556768 713960676 733792917 738924336 778866192 781085184 800501364 846175616 852092928 875762176 877713408 878720832 903129744 923100672 951947568 958604544 978390556 985232448 1016020962 1038488256 1041446912 1067335152 1070941014 1108386504 1171627776 1200752046 1204172992 1230800896 1269263424 1278139392 1313643264 1318081248 1354694616 1384651008 1423113536 1427921352 1467585834 1477848672 1524031443 1557732384 1562170368 1601002728 1692351232 1751524352 1757441664 1801128069 1806259488 1846201344 1903895136 1917209088 1956781112 1970464896 2032041924 2076976512 2134670304 2141882028 2201378751 2216773008 2343255552 2401504092 2408345984 2538526848 2556278784 2627286528 2636162496 2709389232 2769302016 2846227072 2855842704 2935171668 2955697344 3048062886 3115464768 3124340736 3202005456 3384702464 3503048704 3514883328 3602256138 3612518976 3692402688 3807790272 3834418176 3913562224 3940929792 4064083848 4153953024 4269340608 4283764056 4402757502 4433546016 4686511104 4803008184 4816691968 5077053696 5254573056 5272324992 5418778464 5538604032 5692454144 5711685408 5870343336 5911394688 6096125772 6230929536 6404010912 6604136253 6769404928 7029766656 7204512276 7225037952 7615580544 7668836352 7827124448 7881859584 8128167696 8307906048 8538681216 8567528112 8805515004 8867092032 9373022208 9606016368 9633383936 10154107392 10509146112 10544649984 10837556928 11077208064 11384908288 11423370816 11740686672 11822789376 12192251544 12461859072 12808021824 13208272506 13538809856 14059533312 14409024552 14450075904 15231161088 15654248896 15763719168 16256335392 16615812096 17077362432 17135056224 17611030008 17734184064 19212032736 19266767872 19812408759 20308214784 21089299968 21675113856 22769816576 22846741632 23481373344 23645578752 24384503088 24923718144 25616043648 26416545012 28119066624 28818049104 28900151808 30462322176 31308497792 31527438336 32512670784 33231624192 34154724864 34270112448 35222060016 35468368128 38424065472 38533535744 39624817518 40616429568 42178599936 43350227712 45539633152 45693483264 46962746688 47291157504 48769006176 49847436288 51232087296 52833090024 57636098208 57800303616 60924644352 62616995584 65025341568 68309449728 68540224896 70444120032 70936736256 76848130944 79249635036 84357199872 86700455424 91386966528 93925493376 94582315008 97538012352 99694872576 102464174592 105666180048 115272196416 115600607232 121849288704 125233991168 130050683136 136618899456 137080449792 140888240064 141873472512 153696261888 158499270072 173400910848 182773933056 187850986752 195076024704 204928349184 211332360096 230544392832 250467982336 260101366272 274160899584 281776480128 283746945024 307392523776 316998540144 346801821696 365547866112 375701973504 390152049408 409856698368 422664720192 461088785664 500935964672 520202732544 548321799168 563552960256 614785047552 633997080288 751403947008 780304098816 845329440384 922177571328 1040405465088 1096643598336 1127105920512 1229570095104 1267994160576 1502807894016 1560608197632 1690658880768 1844355142656 2254211841024 2535988321152 3121216395264 3381317761536 3688710285312 4508423682048 5071976642304 6762635523072 10143953284608 13525271046144 20287906569216 40575813138432
- Sum of all divisors σ(n): 146236588898400
- Sum of proper divisors (its aliquot sum) s(n): 105660775759968
- 40575813138432 is an abundant number, because the sum of its proper divisors (105660775759968) is greater than itself. Its abundance is 65084962621536
Bases of 40575813138432
- Binary: 10010011100111010010101110110110111000000000002
- Hexadecimal: 0x24E74AEDB800
- Base-36: EDS9RI800
Squares and roots of 40575813138432
- 40575813138432 squared (405758131384322) is 1646396611844950909595418624
- 40575813138432 cubed (405758131384323) is 66803881273968288872843856061254302957568
-
The
square root of 40575813138432 is 6369914.6884736219 -
The
cube root of 40575813138432 is 34362.8421615809
Scales and comparisons
How big is 40575813138432?- 40,575,813,138,432 seconds is equal to 1,290,185 years, 18 weeks, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 40,575,813,138,432 would take you about three million, two hundred twenty-five thousand, four hundred sixty-three 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 40575813138432 cubic inches would be around 2863.6 feet tall.
Recreational maths with 40575813138432
- 40575813138432 backwards is 23483131857504
- 40575813138432 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40575813138432's digits is 54
- More coming soon!
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The information we have on file for 40575813138432 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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