40845385728

Names of 40845385728

• Cardinal: 40845385728 can be written as Forty billion, eight hundred forty-five million, three hundred eighty-five thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0845385728 × 10¹⁰

Factors of 40845385728

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 103

Divisors of 40845385728

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 31 32 36 37 42 46 48 54 56 62 63 64 69 72 74 84 92 93 96 108 111 112 124 126 128 138 144 148 161 168 184 186 189 192 207 216 217 222 224 248 252 256 259 276 279 288 296 322 333 336 368 372 378 384 414 432 434 444 448 483 496 504 512 518 552 558 576 592 621 644 651 666 672 713 736 744 756 768 777 828 837 851 864 868 888 896 966 992 999 1008 1024 1036 1104 1116 1147 1152 1184 1242 1288 1302 1332 1344 1426 1449 1472 1488 1512 1536 1554 1656 1674 1702 1728 1736 1776 1792 1932 1953 1984 1998 2016 2048 2072 2139 2208 2232 2294 2304 2331 2368 2484 2553 2576 2604 2664 2688 2852 2898 2944 2976 3024 3072 3108 3312 3348 3404 3441 3456 3472 3552 3584 3864 3906 3968 3996 4032 4096 4144 4278 4347 4416 4464 4588 4608 4662 4736 4968 4991 5106 5152 5208 5328 5376 5704 5796 5859 5888 5952 5957 6048 6144 6216 6417 6624 6696 6808 6882 6912 6944 6993 7104 7168 7659 7728 7812 7936 7992 8029 8064 8192 8288 8556 8694 8832 8928 9176 9216 9324 9472 9936 9982 10212 10304 10323 10416 10656 10752 11408 11592 11718 11776 11904 11914 12096 12288 12432 12834 13248 13392 13616 13764 13824 13888 13986 14208 14336 14973 15318 15456 15624 15872 15984 16058 16128 16576 17112 17388 17664 17856 17871 18352 18432 18648 18944 19251 19872 19964 20424 20608 20646 20832 21312 21504 22816 22977 23184 23436 23552 23808 23828 24087 24192 24576 24864 25668 26381 26496 26784 27232 27528 27648 27776 27972 28416 28672 29946 30636 30912 30969 31248 31744 31968 32116 32256 33152 34224 34776 35328 35712 35742 36704 36864 37296 37888 38502 39744 39928 40848 41216 41292 41664 42624 43008 44919 45632 45954 46368 46872 47104 47616 47656 48174 48384 49728 51336 52762 52992 53568 53613 54464 55056 55296 55552 55944 56832 57344 59892 61272 61824 61938 62496 63488 63936 64232 64512 66304 68448 69552 70656 71424 71484 72261 73408 73728 74592 75776 77004 79143 79488 79856 81696 82432 82584 83328 85248 86016 89838 91264 91908 92736 93744 94208 95232 95312 96348 96768 99456 102672 105524 105984 107136 107226 108928 110112 110592 111104 111888 113664 119784 122544 123648 123876 124992 126976 127872 128464 129024 132608 134757 136896 139104 141312 142848 142968 144522 146816 149184 151552 154008 158286 158976 159712 160839 163392 164864 165168 166656 170496 172032 179676 182528 183816 184667 185472 187488 188416 190464 190624 192696 193536 198912 205344 211048 211968 214272 214452 216783 217856 220224 221184 222208 223776 227328 237429 239568 245088 247296 247752 249984 253952 255744 256928 258048 265216 269514 273792 278208 282624 285696 285936 289044 293632 298368 303104 308016 316572 317952 319424 321678 326784 329728 330336 333312 340992 359352 365056 367632 369334 370944 374976 380928 381248 385392 387072 397824 410688 422096 423936 428544 428904 433566 435712 440448 444416 447552 454656 474858 479136 490176 494592 495504 499968 511488 513856 516096 530432 539028 547584 554001 556416 565248 571392 571872 578088 587264 596736 616032 633144 635904 638848 643356 653568 659456 660672 666624 681984 712287 718704 730112 735264 738668 741888 749952 761856 762496 770784 774144 795648 821376 844192 847872 857088 857808 867132 871424 880896 888832 895104 909312 949716 958272 980352 989184 991008 999936 1022976 1027712 1060864 1078056 1095168 1108002 1112832 1142784 1143744 1156176 1174528 1193472 1232064 1266288 1271808 1277696 1286712 1307136 1318912 1321344 1333248 1363968 1424574 1437408 1460224 1470528 1477336 1483776 1499904 1524992 1541568 1548288 1591296 1642752 1662003 1688384 1695744 1714176 1715616 1734264 1742848 1761792 1777664 1790208 1899432 1916544 1960704 1978368 1982016 1999872 2045952 2055424 2121728 2156112 2190336 2216004 2225664 2285568 2287488 2312352 2349056 2386944 2464128 2532576 2543616 2555392 2573424 2614272 2642688 2666496 2727936 2849148 2874816 2920448 2941056 2954672 2967552 2999808 3049984 3083136 3182592 3285504 3324006 3376768 3428352 3431232 3468528 3485696 3523584 3580416 3798864 3833088 3921408 3956736 3964032 3999744 4091904 4110848 4312224 4380672 4432008 4451328 4574976 4624704 4698112 4773888 4928256 4986009 5065152 5087232 5110784 5146848 5228544 5285376 5332992 5698296 5749632 5840896 5882112 5909344 5935104 5999616 6099968 6166272 6365184 6571008 6648012 6753536 6856704 6862464 6937056 6971392 7047168 7160832 7597728 7666176 7842816 7928064 7999488 8183808 8221696 8624448 8761344 8864016 8902656 9149952 9249408 9396224 9547776 9856512 9972018 10130304 10221568 10293696 10457088 10570752 11396592 11499264 11764224 11818688 11870208 11999232 12199936 12332544 13142016 13296024 13507072 13724928 13874112 14094336 14321664 15195456 15332352 15685632 15856128 15998976 16443392 17248896 17522688 17728032 17805312 18299904 18498816 19095552 19713024 19944036 20260608 20443136 20587392 20914176 21141504 22793184 22998528 23528448 23637376 23998464 24399872 24665088 26284032 26592048 27014144 27449856 27748224 28188672 28643328 30390912 30664704 31371264 31712256 32886784 34497792 35456064 35610624 36599808 36997632 39426048 39888072 40521216 40886272 41174784 42283008 45586368 45997056 47056896 47274752 47996928 48799744 49330176 52568064 53184096 54028288 54899712 55496448 57286656 60781824 61329408 62742528 63424512 65773568 68995584 70912128 73199616 73995264 78852096 79776144 81042432 82349568 84566016 91172736 91994112 94113792 94549504 98660352 106368192 108056576 109799424 110992896 121563648 122658816 126849024 137991168 141824256 146399232 147990528 157704192 159552288 162084864 164699136 182345472 183988224 188227584 189099008 197320704 212736384 216113152 219598848 221985792 243127296 253698048 275982336 283648512 295981056 319104576 324169728 329398272 364690944 367976448 378198016 425472768 439197696 443971584 486254592 551964672 567297024 591962112 638209152 648339456 658796544 729381888 756396032 850945536 887943168 972509184 1103929344 1134594048 1276418304 1317593088 1458763776 1512792064 1701891072 1775886336 1945018368 2269188096 2552836608 2917527552 3403782144 4538376192 5105673216 5835055104 6807564288 10211346432 13615128576 20422692864 40845385728
• Sum of all divisors σ(n): 152998871040
• Sum of proper divisors (its aliquot sum) s(n): 112153485312
• 40845385728 is an abundant number, because the sum of its proper divisors (112153485312) is greater than itself. Its abundance is 71308099584

Bases of 40845385728

• Binary: 100110000010100100110010000000000000₂
• Hexadecimal: 0x982932000
• Base-36: IRIADC0

Squares and roots of 40845385728

• 40845385728 squared (40845385728²) is 1668345535269106089984
• 40845385728 cubed (40845385728³) is 68144216915653266527150357348352
• The square root of 40845385728 is 202102.4139588639
• The cube root of 40845385728 is 3443.8772795567

Scales and comparisons

• 40,845,385,728 seconds is equal to 1,298 years, 39 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 40,845,385,728 would take you about two thousand, five hundred ninety-seven 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 40845385728 cubic inches would be around 287 feet tall.

Recreational maths with 40845385728

• 40845385728 backwards is 82758354804
• 40845385728 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40845385728's digits is 54
• More coming soon!