42078963379968

Names of 42078963379968

• Cardinal: 42078963379968 can be written as Forty-two trillion, seventy-eight billion, nine hundred sixty-three million, three hundred seventy-nine thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 4.2078963379968 × 10¹³

Factors of 42078963379968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2790

Divisors of 42078963379968

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 256 288 354 384 432 472 531 576 708 768 864 944 1033 1062 1152 1416 1593 1693 1728 1888 2066 2124 2304 2832 3099 3186 3386 3456 3481 3776 4132 4248 5079 5664 6198 6372 6772 6912 6962 7552 8264 8496 9297 10158 10443 11328 12396 12744 13544 13924 15104 15237 16528 16992 18594 20316 20886 22656 24792 25488 27088 27848 27891 30474 31329 33056 33984 37188 40632 41772 45312 45711 49584 50976 54176 55696 55782 60947 60948 62658 66112 67968 74376 81264 83544 91422 93987 99168 99887 101952 108352 111392 111564 121894 121896 125316 132224 135936 148752 162528 167088 182841 182844 187974 198336 199774 203904 216704 222784 223128 243788 243792 250632 264448 297504 299661 325056 334176 365682 365688 375948 396672 399548 407808 433408 445568 446256 487576 487584 501264 548523 595008 599322 650112 668352 731364 731376 751896 793344 799096 891136 892512 898983 975152 975168 1002528 1097046 1190016 1198644 1300224 1336704 1462728 1462752 1503792 1598192 1645569 1748869 1785024 1797966 1950304 1950336 2005056 2194092 2380032 2397288 2673408 2696949 2925456 2925504 3007584 3196384 3291138 3497738 3570048 3595873 3595932 3900608 3900672 4010112 4388184 4794576 5246607 5393898 5850912 5851008 5893333 6015168 6392768 6582276 6995476 7140096 7191746 7191864 7801216 8020224 8776368 9589152 10493214 10787619 10787796 11701824 11702016 11786666 12030336 12785536 13164552 13990952 14383492 14383728 15602432 15739821 17552736 17679999 19178304 20986428 21575238 21575592 23403648 23573332 24060672 25571072 26329104 27981904 28766984 28767456 31479642 32362857 35105472 35359998 38356608 41972856 43150476 43151184 46807296 47146664 47219463 52658208 53039997 55963808 57533968 57534912 62959284 64725714 70210944 70719996 76713216 83945712 86300952 86302368 94293328 94438926 97088571 103183271 105316416 106079994 111927616 115067936 115069824 125918568 129451428 140421888 141439992 159119991 167891424 172601904 172604736 188586656 188877852 194177142 206366542 210632832 212159988 223855232 230135872 230139648 251837136 258902856 282879984 309549813 318239982 335782848 345203808 345209472 377173312 377755704 388354284 412733084 421265664 424319976 447710464 460271744 503674272 517805712 565759968 619099626 636479964 671565696 690407616 690418944 754346624 755511408 776708568 825466168 848639952 920543488 928649439 1007348544 1035611424 1131519936 1238199252 1272959928 1343131392 1380815232 1508693248 1511022816 1553417136 1650932336 1697279904 1857298878 2014697088 2071222848 2263039872 2476398504 2545919856 2761630464 2785948317 3022045632 3106834272 3301864672 3394559808 3714597756 4029394176 4142445696 4526079744 4952797008 5091839712 5571896634 6044091264 6087812989 6213668544 6603729344 6789119616 7429195512 8284891392 9905594016 10183679424 11143793268 12088182528 12175625978 12427337088 13207458688 13578239232 14858391024 18263438967 19811188032 20367358848 22287586536 24351251956 24854674176 26414917376 29716782048 36526877934 39622376064 40734717696 44575173072 48702503912 54790316901 59433564096 73053755868 79244752128 89150346144 97405007824 109580633802 118867128192 146107511736 164370950703 178300692288 194810015648 219161267604 237734256384 292215023472 328741901406 356601384576 389620031296 438322535208 584430046944 657483802812 713202769152 779240062592 876645070416 1168860093888 1314967605624 1558480125184 1753290140832 2337720187776 2629935211248 3506580281664 4675440375552 5259870422496 7013160563328 10519740844992 14026321126656 21039481689984 42078963379968
• Sum of all divisors σ(n): 126777085351840
• Sum of proper divisors (its aliquot sum) s(n): 84698121971872
• 42078963379968 is an abundant number, because the sum of its proper divisors (84698121971872) is greater than itself. Its abundance is 42619158591904

Bases of 42078963379968

• Binary: 1001100100010101000101101010100010111100000000₂
• Hexadecimal: 0x264545AA2F00
• Base-36: EWYT4CLC0

Squares and roots of 42078963379968

• 42078963379968 squared (42078963379968²) is 1770639159132687970743681024
• 42078963379968 cubed (42078963379968³) is 74506660336281709228797619160233103327232
• The square root of 42078963379968 is 6486829.9946867731
• The cube root of 42078963379968 is 34782.0368439513

Scales and comparisons

• 42,078,963,379,968 seconds is equal to 1,337,980 years, 45 weeks, 4 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 42,078,963,379,968 would take you about three million, three hundred forty-four thousand, nine hundred fifty-two 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 42078963379968 cubic inches would be around 2898.5 feet tall.

Recreational maths with 42078963379968

• 42078963379968 backwards is 86997336987024
• The number of decimal digits it has is: 14
• The sum of 42078963379968's digits is 81
• More coming soon!