135150118084800

Names of 135150118084800

• Cardinal: 135150118084800 can be written as One hundred thirty-five trillion, one hundred fifty billion, one hundred eighteen million, eighty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.351501180848 × 10¹⁴

Factors of 135150118084800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 14733821

Divisors of 135150118084800

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 126 130 140 144 147 150 156 160 168 175 180 182 192 195 196 200 208 210 224 225 234 240 245 252 260 273 280 288 294 300 312 315 320 325 336 350 360 364 390 392 400 416 420 441 448 450 455 468 480 490 504 520 525 546 560 576 585 588 600 624 630 637 650 672 700 720 728 735 780 784 800 819 832 840 882 900 910 936 960 975 980 1008 1040 1050 1092 1120 1170 1176 1200 1225 1248 1260 1274 1300 1344 1365 1400 1440 1456 1470 1560 1568 1575 1600 1638 1680 1764 1800 1820 1872 1911 1950 1960 2016 2080 2100 2184 2205 2240 2275 2340 2352 2400 2450 2496 2520 2548 2600 2730 2800 2880 2912 2925 2940 3120 3136 3150 3185 3276 3360 3528 3600 3640 3675 3744 3822 3900 3920 4032 4095 4160 4200 4368 4410 4550 4680 4704 4800 4900 5040 5096 5200 5460 5600 5733 5824 5850 5880 6240 6300 6370 6552 6720 6825 7056 7200 7280 7350 7488 7644 7800 7840 8190 8400 8736 8820 9100 9360 9408 9555 9800 10080 10192 10400 10920 11025 11200 11466 11700 11760 12480 12600 12740 13104 13650 14112 14400 14560 14700 15288 15600 15680 15925 16380 16800 17472 17640 18200 18720 19110 19600 20160 20384 20475 20800 21840 22050 22932 23400 23520 25200 25480 26208 27300 28224 28665 29120 29400 30576 31200 31850 32760 33600 35280 36400 37440 38220 39200 40768 40950 43680 44100 45864 46800 47040 47775 50400 50960 52416 54600 57330 58800 61152 62400 63700 65520 70560 72800 76440 78400 81900 87360 88200 91728 93600 95550 100800 101920 109200 114660 117600 122304 127400 131040 141120 143325 145600 152880 163800 176400 183456 187200 191100 203840 218400 229320 235200 254800 262080 286650 305760 327600 352800 366912 382200 436800 458640 509600 573300 611520 655200 705600 764400 917280 1019200 1146600 1310400 1528800 1834560 2293200 3057600 4586400 9172800 14733791 29467582 44201373 58935164 73668955 88402746 103136537 117870328 132604119 147337910 176805492 191539283 206273074 221006865 235740656 265208238 294675820 309409611 353610984 368344775 383078566 412546148 442013730 471481312 515682685 530416476 574617849 589351640 618819222 663020595 707221968 721955759 736689550 766157132 825092296 884027460 928228833 942962624 957696415 1031365370 1060832952 1105034325 1149235698 1178703280 1237638444 1326041190 1340774981 1414443936 1443911518 1473379100 1532314264 1547048055 1650184592 1723853547 1768054920 1856457666 1915392830 2062730740 2121665904 2165867277 2210068650 2298471396 2357406560 2475276888 2578413425 2652082380 2681549962 2828887872 2873089245 2887823036 2946758200 3064628528 3094096110 3300369184 3315102975 3447707094 3536109840 3609778795 3712915332 3830785660 4022324943 4125461480 4243331808 4331734554 4420137300 4596942792 4641144165 4714813120 4788482075 4950553776 5156826850 5304164760 5363099924 5746178490 5775646072 5893516400 6129257056 6188192220 6497601831 6600738368 6630205950 6703874905 6895414188 7072219680 7219557590 7425830664 7661571320 7735240275 8044649886 8250922960 8486663616 8619267735 8663469108 8840274600 9193885584 9282288330 9385424867 9576964150 9901107552 10313653700 10608329520 10726199848 10829336385 11492356980 11551292144 11787032800 12066974829 12258514112 12376384440 12995203662 13260411900 13407749810 13790828376 14144439360 14365446225 14439115180 14851661328 15323142640 15470480550 16089299772 16501845920 17238535470 17326938216 17680549200 18048893975 18387771168 18564576660 18770849734 19153928300 19802215104 20111624715 20627307400 21216659040 21452399696 21658672770 22984713960 23102584288 23205720825 23574065600 24133949658 24752768880 25990407324 26520823800 26815499620 27581656752 28156274601 28730892450 28878230360 29703322656 30646285280 30940961100 32178599544 32488009155 33003691840 33519374525 34477070940 34653876432 35361098400 36097787950 36775542336 37129153320 37541699468 38307856600 40223249430 41254614800 42433318080 42904799392 43096338675 43317345540 45969427920 46205168576 46411441650 46927124335 48267899316 49505537760 51980814648 53041647600 53630999240 54146681925 55163313504 56312549202 57461784900 57756460720 59406645312 60334874145 61292570560 61881922200 64357199088 64976018310 67038749050 68954141880 69307752864 70722196800 72195575900 74258306640 75083398936 76615713200 80446498860 82509229600 84468823803 85809598784 86192677350 86634691080 91938855840 92822883300 93854248670 96535798632 99011075520 100558123575 103961629296 106083295200 107261998480 108293363850 110326627008 112625098404 114923569800 115512921440 120669748290 123763844400 128714398176 129952036620 134077498100 137908283760 138615505728 140781373005 144391151800 148516613280 150166797872 153231426400 160892997720 162440045775 165018459200 168937647606 172385354700 173269382160 183877711680 185645766600 187708497340 193071597264 201116247150 207923258592 212166590400 214523996960 216586727700 225250196808 229847139600 231025842880 234635621675 241339496580 247527688800 257428796352 259904073240 268154996200 275816567520 281562746010 288782303600 297033226560 300333595744 301674370725 306462852800 321785995440 324880091550 337875295212 344770709400 346538764320 371291533200 375416994680 386143194528 402232494300 415846517184 422344119015 429047993920 433173455400 450500393616 459694279200 469271243350 482678993160 495055377600 519808146480 536309992400 551633135040 563125492020 577564607200 600667191488 603348741450 643571990880 649760183100 675750590424 689541418800 693077528640 703906865025 742583066400 750833989360 772286389056 804464988600 844688238030 866346910800 901000787232 919388558400 938542486700 965357986320 1039616292960 1072619984800 1126250984040 1155129214400 1206697482900 1287143981760 1299520366200 1351501180848 1379082837600 1407813730050 1485166132800 1501667978720 1608929977200 1689376476060 1732693821600 1802001574464 1877084973400 1930715972640 2079232585920 2111720595075 2145239969600 2252501968080 2413394965800 2599040732400 2703002361696 2758165675200 2815627460100 3003335957440 3217859954400 3378752952120 3465387643200 3754169946800 3861431945280 4223441190150 4505003936160 4826789931600 5198081464800 5406004723392 5631254920200 6435719908800 6757505904240 7508339893600 8446882380300 9010007872320 9653579863200 10396162929600 11262509840400 13515011808480 15016679787200 16893764760600 19307159726400 22525019680800 27030023616960 33787529521200 45050039361600 67575059042400 135150118084800
• Sum of all divisors σ(n): 601763986264896
• Sum of proper divisors (its aliquot sum) s(n): 466613868180096
• 135150118084800 is an abundant number, because the sum of its proper divisors (466613868180096) is greater than itself. Its abundance is 331463750095296

Bases of 135150118084800

• Binary: 11110101110101100010110110001111010000011000000₂
• Hexadecimal: 0x7AEB16C7A0C0
• Base-36: 1BWN3UU280

Squares and roots of 135150118084800

• 135150118084800 squared (135150118084800²) is 18265554418335384019991040000
• 135150118084800 cubed (135150118084800³) is 2468591836522367528551943979837960192000000
• The square root of 135150118084800 is 11625408.2975523917
• The cube root of 135150118084800 is 51318.2860465683

Scales and comparisons

• 135,150,118,084,800 seconds is equal to 4,297,355 years, 36 weeks, 5 days, 20 hours.
• To count from 1 to 135,150,118,084,800 would take you about ten million, seven hundred forty-three thousand, three hundred 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 135150118084800 cubic inches would be around 4276.5 feet tall.

Recreational maths with 135150118084800

• 135150118084800 backwards is 008480811051531
• 135150118084800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135150118084800's digits is 45
• More coming soon!