40402406178816

Names of 40402406178816

• Cardinal: 40402406178816 can be written as Forty trillion, four hundred two billion, four hundred six million, one hundred seventy-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 4.0402406178816 × 10¹³

Factors of 40402406178816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 132

Divisors of 40402406178816

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 97 114 121 128 132 152 176 192 194 209 228 242 256 264 291 304 352 361 363 384 388 418 456 484 512 528 582 608 627 704 722 726 768 776 836 912 968 1024 1056 1067 1083 1164 1216 1254 1408 1444 1452 1536 1552 1672 1824 1843 1936 2048 2112 2134 2166 2299 2328 2432 2508 2816 2888 2904 3072 3104 3201 3344 3648 3686 3872 3971 4096 4224 4268 4332 4598 4656 4864 5016 5529 5632 5776 5808 6144 6208 6402 6688 6897 7296 7372 7744 7942 8192 8448 8536 8664 9196 9312 9409 9728 10032 11058 11264 11552 11616 11737 11913 12288 12416 12804 13376 13794 14592 14744 15488 15884 16384 16896 17072 17328 18392 18624 18818 19456 20064 20273 22116 22528 23104 23232 23474 23826 24576 24832 25608 26752 27588 28227 29184 29488 30976 31768 32768 33792 34144 34656 35017 35211 36784 37248 37636 38912 40128 40546 43681 44232 45056 46208 46464 46948 47652 49152 49664 51216 53504 55176 56454 58368 58976 60819 61952 63536 67584 68288 69312 70034 70422 73568 74496 75272 77824 80256 81092 87362 88464 90112 92416 92928 93896 95304 98304 99328 102432 103499 105051 107008 110352 112908 116736 117952 121638 123904 127072 131043 135168 136576 138624 140068 140844 147136 148992 150544 155648 160512 162184 174724 176928 178771 180224 184832 185856 187792 190608 198656 204864 206998 210102 214016 220704 223003 225816 233472 235904 243276 247808 254144 262086 270336 273152 277248 280136 281688 294272 297984 301088 310497 311296 321024 324368 349448 353856 357542 360448 369664 371712 375584 381216 385187 397312 409728 413996 420204 428032 441408 446006 451632 466944 471808 486552 495616 508288 524172 536313 540672 546304 554496 560272 563376 588544 595968 602176 620994 622592 642048 648736 669009 698896 707712 715084 739328 743424 751168 762432 770374 794624 819456 827992 840408 856064 882816 892012 903264 933888 943616 973104 991232 1016576 1048344 1072626 1081344 1092608 1108992 1120544 1126752 1138489 1155561 1177088 1191936 1204352 1241988 1284096 1297472 1338018 1397792 1415424 1430168 1478656 1486848 1502336 1524864 1540748 1589248 1638912 1655984 1680816 1712128 1765632 1784024 1806528 1867776 1887232 1946208 1966481 1982464 2033152 2096688 2145252 2185216 2217984 2241088 2253504 2276978 2311122 2354176 2383872 2408704 2483976 2568192 2594944 2676036 2795584 2830848 2860336 2957312 2973696 3004672 3049728 3081496 3178496 3277824 3311968 3361632 3396649 3415467 3424256 3531264 3568048 3613056 3774464 3892416 3932962 3964928 4066304 4193376 4237057 4290504 4370432 4435968 4482176 4507008 4553956 4622244 4708352 4767744 4817408 4967952 5136384 5189888 5352072 5591168 5661696 5720672 5899443 5914624 5947392 6009344 6099456 6162992 6555648 6623936 6723264 6793298 6830934 6848512 7062528 7136096 7226112 7548928 7784832 7865924 8132608 8386752 8474114 8581008 8740864 8871936 8964352 9014016 9107912 9244488 9416704 9535488 9634816 9935904 10189947 10272768 10379776 10704144 11182336 11323392 11441344 11798886 11829248 11894784 12018688 12198912 12325984 12711171 13111296 13247872 13446528 13586596 13661868 14125056 14272192 14452224 15097856 15569664 15731848 16265216 16773504 16948228 17162016 17481728 17743872 17928704 18028032 18215824 18488976 18833408 19269632 19871808 20379894 20545536 20759552 21408288 21631291 22364672 22646784 22882688 23597772 24037376 24397824 24651968 25422342 26222592 26495744 26893056 27173192 27323736 28250112 28544384 28904448 30195712 31139328 31463696 32530432 33547008 33896456 34324032 34963456 35487744 35857408 36056064 36431648 36977952 37363139 37666816 38539264 39743616 40759788 41519104 42816576 43262582 44729344 45293568 45765376 47195544 48074752 48795648 49303936 50844684 52445184 52991488 53786112 54346384 54647472 56500224 57088768 57808896 60391424 62278656 62927392 64893873 65060864 67094016 67792912 68648064 71714816 72112128 72863296 73955904 74726278 75333632 77078528 79487232 81519576 83038208 85633152 86525164 89458688 90587136 91530752 94391088 96149504 97591296 98607872 101689368 104890368 105982976 107572224 108692768 109294944 112089417 113000448 114177536 115617792 124557312 125854784 129787746 130121728 134188032 135585824 137296128 143429632 144224256 145726592 147911808 149452556 154157056 158974464 163039152 166076416 171266304 173050328 178917376 181174272 183061504 188782176 192299008 195182592 197215744 203378736 211965952 215144448 217385536 218589888 224178834 226000896 228355072 231235584 249114624 251709568 259575492 268376064 271171648 274592256 286859264 288448512 291453184 295823616 298905112 308314112 317948928 326078304 332152832 342532608 346100656 357834752 366123008 377564352 384598016 390365184 394431488 406757472 410994529 423931904 430288896 434771072 437179776 448357668 456710144 462471168 498229248 503419136 519150984 536752128 542343296 549184512 573718528 576897024 582906368 591647232 597810224 635897856 652156608 664305664 685065216 692201312 715669504 732246016 755128704 788862976 813514944 821989058 847863808 860577792 869542144 874359552 896715336 913420288 924942336 996458496 1006838272 1038301968 1073504256 1084686592 1098369024 1147437056 1153794048 1165812736 1183294464 1195620448 1232983587 1271795712 1304313216 1370130432 1384402624 1431339008 1464492032 1510257408 1577725952 1627029888 1643978116 1695727616 1721155584 1739084288 1748719104 1793430672 1826840576 1992916992 2013676544 2076603936 2147008512 2169373184 2196738048 2331625472 2366588928 2391240896 2465967174 2543591424 2608626432 2740260864 2768805248 2928984064 3020514816 3155451904 3254059776 3287956232 3391455232 3442311168 3478168576 3497438208 3586861344 3653681152 4027353088 4153207872 4294017024 4338746368 4393476096 4663250944 4733177856 4782481792 4931934348 5087182848 5217252864 5480521728 5537610496 5857968128 6041029632 6310903808 6508119552 6575912464 6956337152 6994876416 7173722688 7307362304 8054706176 8306415744 8677492736 8786952192 9326501888 9466355712 9564963584 9863868696 10174365696 10434505728 10961043456 11075220992 12082059264 12621807616 13016239104 13151824928 13912674304 13989752832 14347445376 16109412352 16612831488 17354985472 17573904384 18653003776 18932711424 19129927168 19727737392 20869011456 21922086912 22150441984 24164118528 26032478208 26303649856 27825348608 27979505664 28694890752 32218824704 33225662976 34709970944 37306007552 37865422848 38259854336 39455474784 41738022912 44300883968 48328237056 52064956416 52607299712 55650697216 55959011328 57389781504 64437649408 66451325952 69419941888 76519708672 78910949568 83476045824 88601767936 96656474112 104129912832 105214599424 111301394432 111918022656 114779563008 132902651904 138839883776 153039417344 157821899136 166952091648 177203535872 193312948224 208259825664 210429198848 229559126016 265805303808 306078834688 315643798272 333904183296 354407071744 416519651328 420858397696 459118252032 531610607616 612157669376 631287596544 708814143488 841716795392 918236504064 1063221215232 1224315338752 1262575193088 1683433590784 1836473008128 2126442430464 2525150386176 3366867181568 3672946016256 5050300772352 6733734363136 10100601544704 13467468726272 20201203089408 40402406178816
• Sum of all divisors σ(n): 126285476031540
• Sum of proper divisors (its aliquot sum) s(n): 85883069852724
• 40402406178816 is an abundant number, because the sum of its proper divisors (85883069852724) is greater than itself. Its abundance is 45480663673908

Bases of 40402406178816

• Binary: 1001001011111011101011000100011000000000000000₂
• Hexadecimal: 0x24BEEB118000
• Base-36: EBKLXH9MO

Squares and roots of 40402406178816

• 40402406178816 squared (40402406178816²) is 1632354425038029294567161856
• 40402406178816 cubed (40402406178816³) is 65951046508174113866596313911147150442496
• The square root of 40402406178816 is 6356288.7110967513
• The cube root of 40402406178816 is 34313.8206363131

Scales and comparisons

• 40,402,406,178,816 seconds is equal to 1,284,671 years, 28 weeks, 1 day, 21 hours, 13 minutes, 36 seconds.
• To count from 1 to 40,402,406,178,816 would take you about three million, two hundred eleven thousand, six hundred seventy-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 40402406178816 cubic inches would be around 2859.5 feet tall.

Recreational maths with 40402406178816

• 40402406178816 backwards is 61887160420404
• The number of decimal digits it has is: 14
• The sum of 40402406178816's digits is 51
• More coming soon!