42381381372288

Names of 42381381372288

• Cardinal: 42381381372288 can be written as Forty-two trillion, three hundred eighty-one billion, three hundred eighty-one million, three hundred seventy-two thousand, two hundred eighty-eight.

Scientific notation

• Scientific notation: 4.2381381372288 × 10¹³

Factors of 42381381372288

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 524406

Divisors of 42381381372288

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 32 34 42 48 51 56 58 61 64 68 84 87 96 102 112 116 119 122 128 136 168 174 183 192 203 204 224 232 238 244 272 336 348 357 366 384 406 408 427 448 464 476 488 493 544 609 672 696 714 732 812 816 854 896 928 952 976 986 1037 1088 1218 1281 1344 1392 1428 1464 1479 1624 1632 1708 1769 1856 1904 1952 1972 2074 2176 2436 2562 2688 2784 2856 2928 2958 3111 3248 3264 3416 3451 3538 3712 3808 3904 3944 4148 4872 5124 5307 5568 5712 5856 5916 6222 6496 6528 6832 6902 7076 7259 7616 7808 7888 8296 9744 10248 10353 10614 11136 11424 11712 11832 12383 12444 12992 13664 13804 14152 14518 15232 15776 16592 19488 20496 20706 21228 21777 22848 23424 23664 24766 24888 25984 27328 27608 28304 29036 30073 31552 33184 37149 38976 40992 41412 42456 43554 45696 47328 49532 49776 54656 55216 56608 58072 60146 63104 66368 74298 77952 81984 82824 84912 87108 90219 94656 99064 99552 110432 113216 116144 120292 132736 148596 163968 165648 169824 174216 180438 189312 198128 199104 210511 220864 226432 232288 240584 297192 331296 339648 348432 360876 396256 398208 421022 441728 464576 481168 524287 594384 631533 662592 679296 696864 721752 792512 842044 929152 962336 1048574 1188768 1263066 1325184 1393728 1443504 1572861 1585024 1684088 1924672 2097148 2377536 2526132 2787456 2887008 3145722 3368176 3670009 3849344 4194296 4755072 5052264 5774016 6291444 6736352 7340018 8388592 8912879 10104528 11010027 11548032 12582888 13472704 14680036 15204323 16777184 17825758 20209056 22020054 25165776 26738637 26945408 29360072 30408646 31981507 33554368 35651516 40418112 44040108 45612969 50331552 53477274 58720144 60817292 62390153 63963014 67108736 71303032 80836224 88080216 91225938 95944521 100663104 106430261 106954548 117440288 121634584 124780306 127926028 142606064 176160432 182451876 187170459 191889042 201326208 212860522 213909096 223870549 234880576 243269168 249560612 255852056 258473491 285212128 319290783 352320864 364903752 374340918 383778084 425721044 427818192 447741098 469761152 486538336 499121224 511704112 516946982 543685619 570424256 638581566 671611647 704641728 729807504 748681836 767556168 775420473 851442088 855636384 895482196 927463703 973076672 998242448 1023408224 1033893964 1087371238 1140848512 1277163132 1343223294 1409283456 1459615008 1497363672 1535112336 1550840946 1631056857 1702884176 1711272768 1790964392 1809314437 1854927406 1946153344 1996484896 2046816448 2067787928 2174742476 2554326264 2686446588 2782391109 2919230016 2994727344 3070224672 3101681892 3262113714 3405768352 3422545536 3581928784 3618628874 3709854812 3805799333 3992969792 4093632896 4135575856 4349484952 5108652528 5372893176 5427943311 5564782218 5838460032 5989454688 6140449344 6203363784 6492245921 6524227428 6811536704 7163857568 7237257748 7419709624 7611598666 7985939584 8271151712 8698969904 10217305056 10745786352 10855886622 11129564436 11417397999 11978909376 12280898688 12406727568 12984491842 13048454856 13623073408 14327715136 14474515496 14839419248 15223197332 15766882951 16542303424 17397939808 19476737763 20434610112 21491572704 21711773244 22259128872 22834795998 23957818752 24813455136 25968983684 26096909712 28655430272 28949030992 29678838496 30446394664 31533765902 33084606848 34795879616 38953475526 40869220224 42983145408 43423546488 44518257744 45669591996 47300648853 49626910272 51937967368 52193819424 57898061984 59357676992 60892789328 63067531804 69591759232 77906951052 85966290816 86847092976 89036515488 91339183992 94601297706 99253820544 103875934736 104387638848 110368180657 115796123968 118715353984 121785578656 126135063608 155813902104 173694185952 178073030976 182678367984 189202595412 207751869472 208775277696 220736361314 231592247936 243571157312 252270127216 311627804208 331104541971 347388371904 356146061952 365356735968 378405190824 415503738944 441472722628 487142314624 504540254432 623255608416 662209083942 694776743808 730713471936 756810381648 831007477888 882945445256 1009080508864 1246511216832 1324418167884 1461426943872 1513620763296 1765890890512 2018161017728 2493022433664 2648836335768 3027241526592 3531781781024 5297672671536 6054483053184 7063563562048 10595345343072 14127127124096 21190690686144 42381381372288
• Sum of all divisors σ(n): 143233803878400
• Sum of proper divisors (its aliquot sum) s(n): 100852422506112
• 42381381372288 is an abundant number, because the sum of its proper divisors (100852422506112) is greater than itself. Its abundance is 58471041133824

Bases of 42381381372288

• Binary: 1001101000101110101111001011101000100110000000₂
• Hexadecimal: 0x268BAF2E8980
• Base-36: F0TQK7PMO

Squares and roots of 42381381372288

• 42381381372288 squared (42381381372288²) is 1796181487023320278054354944
• 42381381372288 cubed (42381381372288³) is 76124652615378706030185415267197357391872
• The square root of 42381381372288 is 6510098.4149464285
• The cube root of 42381381372288 is 34865.1632171863

Scales and comparisons

• 42,381,381,372,288 seconds is equal to 1,347,596 years, 43 weeks, 2 days, 8 hours, 44 minutes, 48 seconds.
• To count from 1 to 42,381,381,372,288 would take you about three million, three hundred sixty-eight thousand, nine hundred ninety-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 42381381372288 cubic inches would be around 2905.4 feet tall.

Recreational maths with 42381381372288

• 42381381372288 backwards is 88227318318324
• The number of decimal digits it has is: 14
• The sum of 42381381372288's digits is 60
• More coming soon!