42007578816

Names of 42007578816

• Cardinal: 42007578816 can be written as Forty-two billion, seven million, five hundred seventy-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 4.2007578816 × 10¹⁰

Factors of 42007578816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 145

Divisors of 42007578816

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 37 42 48 51 56 64 68 74 79 84 96 102 111 112 119 136 148 158 168 192 204 222 224 237 238 259 272 289 296 316 336 357 408 444 448 474 476 518 544 553 578 592 629 632 672 714 777 816 867 888 948 952 1036 1088 1106 1156 1184 1258 1264 1343 1344 1369 1428 1554 1632 1659 1734 1776 1887 1896 1904 2023 2072 2212 2312 2368 2516 2528 2686 2738 2856 2923 3108 3264 3318 3468 3552 3774 3792 3808 4029 4046 4107 4144 4403 4424 4624 5032 5056 5372 5476 5712 5846 6069 6216 6636 6936 7104 7548 7584 7616 8058 8092 8214 8288 8769 8806 8848 9248 9401 9583 10064 10693 10744 10952 11424 11692 12138 12432 13209 13272 13872 15096 15168 16116 16184 16428 16576 17538 17612 17696 18496 18802 19166 20128 20461 21386 21488 21904 22831 22848 23273 23384 24276 24864 26418 26544 27744 28203 28749 30192 32079 32232 32368 32856 35076 35224 35392 37604 38332 40256 40922 42772 42976 43808 45662 46546 46768 48552 49691 49728 52836 53088 55488 56406 57498 60384 61383 64158 64464 64736 65712 68493 69819 70152 70448 74851 75208 76664 81844 85544 85952 87616 91324 93092 93536 97104 99382 105672 106176 108151 112812 114996 120768 122766 128316 128928 129472 131424 136986 139638 140304 140896 149073 149702 150416 153328 159817 162911 163688 171088 182648 186184 187072 194208 198764 211344 216302 224553 225624 229992 245532 256632 257856 262848 273972 279276 280608 281792 298146 299404 300832 306656 319634 324453 325822 327376 342176 347837 365296 372368 388416 395641 397528 422688 432604 449106 451248 459984 479451 488733 491064 513264 547944 558552 561216 596292 598808 601664 613312 639268 648906 651644 654752 684352 695674 730592 744736 757057 791282 795056 844747 845376 865208 898212 902496 919968 958902 977466 982128 1026528 1043511 1095888 1117104 1186923 1192584 1197616 1278536 1297812 1303288 1309504 1391348 1461184 1489472 1514114 1582564 1590112 1689494 1730416 1796424 1804992 1838567 1839936 1917804 1954932 1964256 2053056 2087022 2191776 2234208 2271171 2373846 2385168 2395232 2534241 2557072 2595624 2606576 2769487 2782696 3028228 3165128 3180224 3378988 3460832 3592848 3677134 3835608 3909864 3928512 4174044 4383552 4468416 4542342 4747692 4770336 4790464 5068482 5114144 5191248 5213152 5515701 5538974 5565392 5913229 6056456 6330256 6757976 6921664 7185696 7354268 7671216 7819728 8308461 8348088 9084684 9495384 9540672 10136964 10228288 10382496 10426304 11031402 11077948 11130784 11826458 12112912 12660512 12869969 13515952 14371392 14708536 15342432 15639456 16616922 16696176 17739687 18169368 18990768 20273928 20764992 22062804 22155896 22261568 23652916 24225824 25321024 25739938 27031904 29417072 30684864 31255639 31278912 33233844 33392352 35479374 36338736 37981536 38609907 40547856 44125608 44311792 47305832 48451648 51479876 54063808 58834144 62511278 66467688 66784704 70958748 72677472 75963072 77219814 81095712 88251216 88623584 93766917 94611664 102959752 117668288 125022556 132935376 141917496 145354944 154439628 162191424 176502432 177247168 187533834 189223328 205919504 218789473 250045112 265870752 283834992 308879256 353004864 375067668 378446656 411839008 437578946 500090224 531741504 567669984 617758512 656368419 750135336 823678016 875157892 1000180448 1135339968 1235517024 1312736838 1500270672 1750315784 2000360896 2471034048 2625473676 3000541344 3500631568 5250947352 6001082688 7001263136 10501894704 14002526272 21003789408 42007578816
• Sum of all divisors σ(n): 140435258880
• Sum of proper divisors (its aliquot sum) s(n): 98427680064
• 42007578816 is an abundant number, because the sum of its proper divisors (98427680064) is greater than itself. Its abundance is 56420101248

Bases of 42007578816

• Binary: 100111000111110110001100100011000000₂
• Hexadecimal: 0x9C7D8C8C0
• Base-36: JAQ879C

Squares and roots of 42007578816

• 42007578816 squared (42007578816²) is 1764636677982451961856
• 42007578816 cubed (42007578816³) is 74128114331952262652599745642496
• The square root of 42007578816 is 204957.5049028457
• The cube root of 42007578816 is 3476.2357129969

Scales and comparisons

• 42,007,578,816 seconds is equal to 1,335 years, 36 weeks, 6 days, 19 hours, 53 minutes, 36 seconds.
• To count from 1 to 42,007,578,816 would take you about two thousand, six hundred seventy-one 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 42007578816 cubic inches would be around 289.7 feet tall.

Recreational maths with 42007578816

• 42007578816 backwards is 61887570024
• 42007578816 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 42007578816's digits is 48
• More coming soon!