138638632688328448

Names of 138638632688328448

• Cardinal: 138638632688328448 can be written as One hundred thirty-eight quadrillion, six hundred thirty-eight trillion, six hundred thirty-two billion, six hundred eighty-eight million, three hundred twenty-eight thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.38638632688328448 × 10¹⁷

Factors of 138638632688328448

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 679

Divisors of 138638632688328448

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 256 299 338 368 416 529 598 641 676 736 832 1058 1196 1282 1352 1472 1664 2116 2392 2564 2704 2944 3328 3887 4232 4784 5128 5408 5888 6877 7774 8333 8464 9568 10256 10816 12167 13754 14743 15548 16666 16928 19136 20512 21632 24334 27508 29486 31096 33332 33856 38272 41024 43264 48668 55016 58972 62192 66664 67712 76544 82048 89401 97336 108329 110032 117944 124384 133328 135424 158171 164096 178802 191659 194672 216658 220064 235888 248768 266656 316342 339089 357604 383318 389344 410881 433316 440128 471776 497536 533312 632684 678178 715208 766636 778688 821762 866632 880256 943552 995072 1066624 1265368 1356356 1430416 1533272 1557376 1643524 1733264 1760512 1887104 2056223 2133248 2491567 2530736 2712712 2860832 3066544 3114752 3287048 3466528 3774208 4112446 4408157 4983134 5061472 5341453 5425424 5721664 6133088 6574096 6933056 7799047 8224892 8816314 9450263 9966268 10122944 10682906 10850848 11443328 12266176 13148192 13866112 15598094 16449784 17632628 18900526 19932536 20245888 21365812 21701696 22886656 24532352 26296384 27732224 31196188 32899568 35265256 37801052 39865072 40491776 42731624 43403392 49064704 52592768 57306041 62392376 65799136 69438889 70530512 75602104 79730144 85463248 86806784 101387611 105185536 114612082 122853419 124784752 131598272 138877778 141061024 151204208 159460288 170926496 202775222 217356049 229224164 245706838 249569504 263196544 263374721 277755556 282122048 302408416 318920576 341852992 405550444 434712098 458448328 491413676 499139008 526393088 526749442 555511112 564244096 604816832 637841152 683705984 811100888 869424196 916896656 982827352 998278016 1053498884 1111022224 1128488192 1209633664 1318038943 1367411968 1597094447 1622201776 1738848392 1833793312 1965654704 1996556032 2106997768 2222044448 2419267328 2636077886 2825628637 3194188894 3244403552 3423871373 3477696784 3667586624 3931309408 4213995536 4444088896 4999189127 5272155772 5651257274 6057618583 6388377788 6488807104 6847742746 6955393568 7335173248 7862618816 8427991072 8888177792 9998378254 10544311544 11302514548 12115237166 12776755576 12977614208 13695485492 13910787136 14670346496 15725237632 16855982144 17776355584 19996756508 21088623088 22605029096 24230474332 25553511152 25955228416 27390970984 27821574272 31450475264 33711964288 36733172281 39993513016 42177246176 44510327849 45210058192 48460948664 51107022304 54781941968 55643148544 64989458651 67423928576 73466344562 78749041579 79987026032 84354492352 89020655698 90420116384 96921897328 102214044608 109563883936 129978917302 139325227409 146932689124 157498083158 159974052064 168708984704 178041311396 180840232768 193843794656 204428089216 219127767872 259957834604 278650454818 293865378248 314996166316 319948104128 337417969408 356082622792 361680465536 387687589312 408856178432 438255535744 519915669208 557300909636 587730756496 629992332632 639896208256 712165245584 723360931072 775375178624 844862962463 876511071488 1023737540527 1039831338416 1114601819272 1175461512992 1259984665264 1279792416512 1424330491168 1550750357248 1689725924926 1811227956317 2047475081054 2079662676832 2229203638544 2350923025984 2519969330528 2848660982336 3204480230407 3379451849852 3622455912634 4094950162108 4159325353664 4458407277088 4701846051968 5039938661056 5697321964672 6408960460814 6758903699704 7244911825268 8189900324216 8318650707328 8916814554176 9403692103936 10079877322112 11394643929344 12817920921628 13517807399408 14489823650536 16379800648432 16637301414656 17833629108352 20159754644224 23545963432121 25635841843256 27035614798816 28979647301072 32759601296864 35667258216704 41658242995291 47091926864242 51271683686512 54071229597632 57959294602144 65519202593728 83316485990582 94183853728484 102543367373024 108142459195264 115918589204288 131038405187456 166632971981164 188367707456968 205086734746048 216284918390528 231837178408576 262076810374912 333265943962328 376735414913936 410173469492096 463674356817152 541557158938783 666531887924656 753470829827872 820346938984192 1083114317877566 1333063775849312 1506941659655744 2166228635755132 2666127551698624 3013883319311488 4332457271510264 5332255103397248 6027766638622976 8664914543020528 10664510206794496 17329829086041056 34659658172082112 69319316344164224 138638632688328448
• Sum of all divisors σ(n): 313769875407387840
• Sum of proper divisors (its aliquot sum) s(n): 175131242719059392
• 138638632688328448 is an abundant number, because the sum of its proper divisors (175131242719059392) is greater than itself. Its abundance is 36492610030730944

Bases of 138638632688328448

• Binary: 111101100100010110001101000010101100010001001111100000000₂
• Hexadecimal: 0x1EC8B1A15889F00
• Base-36: 11X3AKLZ7LDS

Squares and roots of 138638632688328448

• 138638632688328448 squared (138638632688328448²) is 19220670473689253268602324326088704
• 138638632688328448 cubed (138638632688328448³) is 2664727473825204342934503333245224865782211534651392
• The square root of 138638632688328448 is 372342090.9437025333
• The cube root of 138638632688328448 is 517560.8556416693

Scales and comparisons

• 138,638,632,688,328,448 seconds is equal to 4,408,279,682 years, 2 weeks, 1 day, 1 hour, 27 minutes, 28 seconds.
• To count from 1 to 138,638,632,688,328,448 would take you about thirteen billion, two hundred twenty-four million, eight hundred thirty-nine thousand and forty-six 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 138638632688328448 cubic inches would be around 43130.1 feet tall.

Recreational maths with 138638632688328448

• 138638632688328448 backwards is 844823886236836831
• The number of decimal digits it has is: 18
• The sum of 138638632688328448's digits is 91
• More coming soon!