135129313715040

Names of 135129313715040

• Cardinal: 135129313715040 can be written as One hundred thirty-five trillion, one hundred twenty-nine billion, three hundred thirteen million, seven hundred fifteen thousand and forty.

Scientific notation

• Scientific notation: 1.3512931371504 × 10¹⁴

Factors of 135129313715040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1565

Divisors of 135129313715040

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 37 40 45 48 60 62 72 74 80 90 93 96 111 120 124 144 148 155 160 180 185 186 222 240 248 279 288 296 310 333 360 370 372 444 465 480 496 555 558 592 620 666 720 740 744 888 930 992 1110 1116 1147 1184 1240 1332 1369 1395 1440 1480 1487 1488 1665 1776 1860 2220 2232 2294 2480 2664 2738 2790 2960 2974 2976 3330 3441 3552 3720 4107 4440 4461 4464 4588 4960 5328 5476 5580 5735 5920 5948 6660 6845 6882 7435 7440 8214 8880 8922 8928 9176 10323 10656 10952 11160 11470 11896 12321 13320 13383 13690 13764 14870 14880 16428 17205 17760 17844 18352 20535 20646 21904 22305 22320 22940 23792 24642 26640 26766 27380 27528 29740 32856 34410 35688 36704 41070 41292 42439 43808 44610 44640 45880 46097 47584 49284 51615 53280 53532 54760 55019 55056 59480 61605 65712 66915 68820 71376 82140 82584 84878 89220 91760 92194 98568 103230 107064 109520 110038 110112 118960 123210 127317 131424 133830 137640 138291 142752 164280 165057 165168 169756 178440 183520 184388 197136 206460 212195 214128 219040 220076 230485 237920 246420 254634 267660 275095 275280 276582 328560 330114 330336 339512 356880 368776 381951 394272 412920 414873 424390 428256 440152 460970 492840 495171 509268 535320 550190 550560 553164 636585 657120 660228 679024 691455 713760 737552 763902 825285 825840 829746 848780 880304 921940 985680 990342 1018536 1070640 1100380 1106328 1273170 1320456 1358048 1382910 1475104 1527804 1650570 1651680 1659492 1697560 1705589 1760608 1843880 1909755 1971360 1980684 2035703 2037072 2074365 2141280 2200760 2211169 2212656 2475855 2546340 2640912 2765820 3055608 3301140 3318984 3395120 3411178 3687760 3819510 3961368 4071406 4074144 4148730 4401520 4422338 4425312 4951710 5092680 5116767 5281824 5531640 6107109 6111216 6602280 6633507 6637968 6790240 6822356 7375520 7639020 7922736 8142812 8297460 8527945 8803040 8844676 9903420 10178515 10185360 10233534 11055845 11063280 12214218 12222432 13204560 13267014 13275936 13644712 15278040 15350301 15845472 16285624 16594920 17055890 17689352 18321327 19806840 19900521 20357030 20370720 20467068 22111690 22126560 24428436 25583835 26409120 26534028 27289424 30535545 30556080 30700602 32571248 33167535 33189840 34111780 35378704 36642654 39613680 39801042 40714060 40934136 44223380 48856872 51167670 53068056 54578848 61071090 61112160 61401204 63106793 65142496 66335070 66379680 68223560 68546239 70757408 73285308 76751505 79227360 79602084 81428120 81813253 81868272 88446760 91606635 97713744 99502605 102335340 106136112 122142180 122802408 126213586 132670140 136447120 137092478 146570616 153503010 159204168 162856240 163626506 163736544 176893520 183213270 189320379 195427488 199005210 204670680 205638717 212272224 244284360 245439759 245604816 252427172 265340280 272894240 274184956 293141232 307006020 315533965 318408336 325712480 327253012 342731195 353787040 366426540 378640758 398010420 409066265 409341360 411277434 488568720 490879518 491209632 504854344 530680560 548369912 567961137 586282464 614012040 616916151 631067930 636816672 654506024 685462390 732853080 736319277 757281516 796020840 818132530 818682720 822554868 946601895 977137440 981759036 1009708688 1028193585 1061361120 1096739824 1135922274 1227198795 1228024080 1233832302 1262135860 1309012048 1370924780 1465706160 1472638554 1514563032 1592041680 1636265060 1645109736 1893203790 1963518072 2019417376 2056387170 2193479648 2271844548 2454397590 2456048160 2467664604 2524271720 2536210843 2618024096 2741849560 2839805685 2931412320 2945277108 3027090361 3029126064 3084580755 3184083360 3272530120 3290219472 3681596385 3786407580 3927036144 4112774340 4543689096 4908795180 4935329208 5048543440 5072421686 5483699120 5679611370 5890554216 6054180722 6058252128 6169161510 6545060240 6580438944 7363192770 7572815160 7608632529 7854072288 8225548680 9081271083 9087378192 9817590360 9870658416 10097086880 10144843372 10967398240 11359222740 11781108432 12108361444 12338323020 12681054215 13090120480 14726385540 15135451805 15145630320 15217265058 16451097360 18162542166 18174756384 19635180720 19741316832 20289686744 22718445480 22825897587 23562216864 24216722888 24676646040 25362108430 27243813249 29452771080 30270903610 30291260640 30434530116 32902194720 36325084332 38043162645 39270361440 40579373488 45406355415 45436890960 45651795174 48433445776 49353292080 50724216860 54487626498 58905542160 60541807220 60869060232 72650168664 76086325290 81158746976 90812710830 90873781920 91303590348 93839801191 96866891552 98706584160 101448433720 108975252996 114129487935 117811084320 121083614440 121738120464 136219066245 145300337328 152172650580 181625421660 182607180696 187679602382 202896867440 217950505992 228258975870 242167228880 243476240928 272438132490 281519403573 290600674656 304345301160 363250843320 365214361392 375359204764 405793734880 435901011984 456517951740 469199005955 484334457760 544876264980 563038807146 608690602320 726501686640 730428722784 750718409528 844558210719 871802023968 913035903480 938398011910 1089752529960 1126077614292 1217381204640 1407597017865 1453003373280 1501436819056 1689116421438 1826071806960 1876796023820 2179505059920 2252155228584 2815194035730 3002873638112 3378232842876 3652143613920 3753592047640 4222791053595 4359010119840 4504310457168 5630388071460 6756465685752 7507184095280 8445582107190 9008620914336 11260776142920 13512931371504 15014368190560 16891164214380 22521552285840 27025862743008 33782328428760 45043104571680 67564656857520 135129313715040
• Sum of all divisors σ(n): 489545794325952
• Sum of proper divisors (its aliquot sum) s(n): 354416480610912
• 135129313715040 is an abundant number, because the sum of its proper divisors (354416480610912) is greater than itself. Its abundance is 219287166895872

Bases of 135129313715040

• Binary: 11110101110011000111110101111100010001101100000₂
• Hexadecimal: 0x7AE63EBE2360
• Base-36: 1BWDJSG7S0

Squares and roots of 135129313715040

• 135129313715040 squared (135129313715040²) is 18259931425097697446322201600
• 135129313715040 cubed (135129313715040³) is 2467452001957144180005231060873727832064000
• The square root of 135129313715040 is 11624513.4829394043
• The cube root of 135129313715040 is 51315.6526800549

Scales and comparisons

• 135,129,313,715,040 seconds is equal to 4,296,694 years, 10 weeks, 12 hours, 24 minutes.
• To count from 1 to 135,129,313,715,040 would take you about ten million, seven hundred forty-one thousand, seven hundred thirty-five 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 135129313715040 cubic inches would be around 4276.3 feet tall.

Recreational maths with 135129313715040

• 135129313715040 backwards is 040517313921531
• 135129313715040 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135129313715040's digits is 45
• More coming soon!