137221639964710152

Names of 137221639964710152

• Cardinal: 137221639964710152 can be written as One hundred thirty-seven quadrillion, two hundred twenty-one trillion, six hundred thirty-nine billion, nine hundred sixty-four million, seven hundred ten thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 1.37221639964710152 × 10¹⁷

Factors of 137221639964710152

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 26477

Divisors of 137221639964710152

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 19 23 24 38 43 46 57 69 76 86 92 114 129 138 152 172 184 228 258 276 344 361 437 456 516 529 552 722 817 874 989 1032 1058 1083 1311 1444 1587 1634 1748 1978 2116 2166 2451 2622 2888 2967 3174 3268 3496 3956 4232 4332 4902 5244 5934 6348 6536 7912 8303 8664 9804 10051 10488 11868 12696 15523 16606 18791 19608 20102 22747 23736 24909 26387 30153 31046 33212 37582 40204 45494 46569 49818 52774 56373 60306 62092 66424 68241 75164 79161 80408 90988 93138 99636 105548 112746 120612 124184 136482 150328 158322 181976 186276 190969 199272 211096 225492 241224 272964 316644 357029 372552 381938 432193 450984 501353 545928 572907 606901 633288 714058 763876 864386 1002706 1071087 1134641 1145814 1213802 1296579 1428116 1504059 1527752 1728772 1820703 2005412 2142174 2269282 2291628 2427604 2593158 2856232 3008118 3403923 3457544 3641406 4010824 4284348 4538564 4583256 4855208 5186316 6016236 6807846 7282812 8211667 8568696 9077128 9525707 10372632 11531119 12032472 13615692 13958723 14565624 16423334 19051414 21558179 23062238 24635001 26096743 27231384 27917446 28577121 32846668 34593357 38102828 41876169 43116358 46124476 49270002 52193486 55834892 57154242 64674537 65693336 69186714 76205656 78290229 83752338 86232716 92248952 98540004 104386972 111669784 114308484 129349074 138373428 156580458 167504676 172465432 197080008 208773944 219091261 228616968 258698148 265215737 276746856 313160916 335009352 409605401 438182522 495838117 517396296 530431474 600225089 626321832 657273783 696273769 795647211 819210802 876365044 991676234 1060862948 1200450178 1228816203 1314547566 1392547538 1487514351 1591294422 1638421604 1752730088 1800675267 1983352468 2088821307 2121725896 2400900356 2457632406 2629095132 2785095076 2975028702 3182588844 3276843208 3601350534 3966704936 4177642614 4801800712 4915264812 5039099003 5258190264 5570190152 5950057404 6365177688 7202701068 8355285228 9420924223 9830529624 10078198006 11404276691 11900114808 13229201611 14405402136 15117297009 16014296687 16710570456 18841848446 20156396012 22808553382 26458403222 28262772669 29939772067 30234594018 32028593374 34212830073 37683696892 39687604833 40312792024 45617106764 48042890061 52916806444 56525545338 59879544134 60469188036 64057186748 68425660146 75367393784 79375209666 89819316201 91234213528 96085780122 105833612888 113051090676 119759088268 120938376072 128114373496 136851320292 158750419332 179638632402 192171560244 216681257129 226102181352 239518176536 251354830609 273702640584 304271637053 317500838664 359277264804 368328823801 384343120488 433362514258 502709661218 568855669273 608543274106 650043771387 688614757541 718554529608 736657647602 754064491827 866725028516 912814911159 1005419322436 1104986471403 1137711338546 1217086548212 1300087542774 1377229515082 1473315295204 1508128983654 1706567007819 1733450057032 1825629822318 2010838644872 2065844272623 2209972942806 2275422677092 2434173096424 2600175085548 2754459030164 2946630590408 3016257967308 3413134015638 3651259644636 4131688545246 4419945885612 4550845354184 5200350171096 5508918060328 5781161104007 6032515934616 6826268031276 6998247652219 7302519289272 8263377090492 8839891771224 10808257716187 11562322208014 13083680393279 13652536062552 13996495304438 15838139423443 16526754180984 17343483312021 20994742956657 21616515432374 23124644416028 26167360786558 27992990608876 31676278846886 32424773148561 34686966624042 39251041179837 41989485913314 43233030864748 46249288832056 47514418270329 52334721573116 55985981217752 63352557693772 64849546297122 69373933248084 78502082359674 83978971826628 86466061729496 95028836540658 104669443146232 126705115387544 129699092594244 132966705392161 138747866496168 157004164719348 167957943653256 190057673081316 248589927472301 259398185188488 265933410784322 300924649045417 314008329438696 380115346162632 398900116176483 497179854944602 531866821568644 601849298090834 745769782416903 797800232352966 902773947136251 994359709889204 1063733643137288 1203698596181668 1491539564833806 1595600464705932 1805547894272502 1988719419778408 2407397192363336 2983079129667612 3191200929411864 3611095788545004 5717568331862923 5966158259335224 7222191577090008 11435136663725846 17152704995588769 22870273327451692 34305409991177538 45740546654903384 68610819982355076 137221639964710152
• Sum of all divisors σ(n): 387302702104034640
• Sum of proper divisors (its aliquot sum) s(n): 250081062139324488
• 137221639964710152 is an abundant number, because the sum of its proper divisors (250081062139324488) is greater than itself. Its abundance is 112859422174614336

Bases of 137221639964710152

• Binary: 111100111100000100101101011000001100101111101010100001000₂
• Hexadecimal: 0x1E7825AC197D508
• Base-36: 11J50F518IKO

Squares and roots of 137221639964710152

• 137221639964710152 squared (137221639964710152²) is 18829778474604538365423933371863104
• 137221639964710152 cubed (137221639964710152³) is 2583853082457433085703925413511805922115383583031808
• The square root of 137221639964710152 is 370434393.6039284029
• The cube root of 137221639964710152 is 515791.5248166507

Scales and comparisons

• 137,221,639,964,710,152 seconds is equal to 4,363,223,696 years, 24 weeks, 5 days, 11 hours, 29 minutes, 12 seconds.
• To count from 1 to 137,221,639,964,710,152 would take you about thirteen billion, eighty-nine million, six hundred seventy-one thousand and eighty-nine 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 137221639964710152 cubic inches would be around 42982.6 feet tall.

Recreational maths with 137221639964710152

• 137221639964710152 backwards is 251017469936122731
• 137221639964710152 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137221639964710152's digits is 69
• More coming soon!