135772560725823840
135,772,560,725,823,840 is an even composite number composed of seven prime numbers multiplied together.
135772560725823840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135772560725823840:
25 × 3 × 5 × 7 × 13 × 83 × 37449953861
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 83 × 37449953861)See below for interesting mathematical facts about the number 135772560725823840 from the Numbermatics database.
Names of 135772560725823840
- Cardinal: 135772560725823840 can be written as One hundred thirty-five quadrillion, seven hundred seventy-two trillion, five hundred sixty billion, seven hundred twenty-five million, eight hundred twenty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3577256072582384 × 1017
Factors of 135772560725823840
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 37449953974
Divisors of 135772560725823840
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 65 70 78 80 83 84 91 96 104 105 112 120 130 140 156 160 166 168 182 195 208 210 224 240 249 260 273 280 312 332 336 364 390 415 416 420 455 480 498 520 546 560 581 624 664 672 728 780 830 840 910 996 1040 1079 1092 1120 1162 1245 1248 1328 1365 1456 1560 1660 1680 1743 1820 1992 2080 2158 2184 2324 2490 2656 2730 2905 2912 3120 3237 3320 3360 3486 3640 3984 4316 4368 4648 4980 5395 5460 5810 6240 6474 6640 6972 7280 7553 7968 8632 8715 8736 9296 9960 10790 10920 11620 12948 13280 13944 14560 15106 16185 17264 17430 18592 19920 21580 21840 22659 23240 25896 27888 30212 32370 34528 34860 37765 39840 43160 43680 45318 46480 51792 55776 60424 64740 69720 75530 86320 90636 92960 103584 113295 120848 129480 139440 151060 172640 181272 226590 241696 258960 278880 302120 362544 453180 517920 604240 725088 906360 1208480 1812720 3625440 37449953861 74899907722 112349861583 149799815444 187249769305 224699723166 262149677027 299599630888 374499538610 449399446332 486849400193 524299354054 561749307915 599199261776 748999077220 786449031081 898798892664 973698800386 1048598708108 1123498615830 1198398523552 1310748385135 1460548200579 1497998154440 1572898062162 1797597785328 1947397600772 2097197416216 2246997231660 2434247000965 2621496770270 2921096401158 2995996308880 3108346170463 3145796124324 3407945801351 3595195570656 3894795201544 3932245155405 4194394832432 4493994463320 4868494001930 5242993540540 5842192802316 5991992617760 6216692340926 6291592248648 6815891602702 7302741002895 7789590403088 7864490310810 8388789664864 8987988926640 9325038511389 9736988003860 10223837404053 10485987081080 11684385604632 12433384681852 12583184497296 13631783205404 14605482005790 15541730852315 15579180806176 15728980621620 17039729006755 17975977853280 18650077022778 19473976007720 20447674808106 20971974162160 21758423193241 23368771209264 24866769363704 25166368994592 27263566410808 29210964011580 31083461704630 31457961243240 34079458013510 37300154045556 38947952015440 40408500216019 40895349616212 41943948324320 43516846386482 46625192556945 46737542418528 49733538727408 51119187020265 54527132821616 58421928023160 62166923409260 62915922486480 65275269579723 68158916027020 74600308091112 77895904030880 80817000432038 81790699232424 87033692772964 93250385113890 99467077454816 102238374040530 108792115966205 109054265643232 116843856046320 121225500648057 124333846818520 125831844972960 130550539159446 136317832054040 149200616182224 161634000864076 163581398464848 174067385545928 186500770227780 202042501080095 204476748081060 217584231932410 233687712092640 242451001296114 248667693637040 261101078318892 272635664108080 282859501512133 298401232364448 323268001728152 326376347898615 327162796929696 348134771091856 373001540455560 404085002160190 408953496162120 435168463864820 484902002592228 497335387274080 522202156637784 545271328216160 565719003024266 606127503240285 646536003456304 652752695797230 696269542183712 746003080911120 808170004320380 817906992324240 848578504536399 870336927729640 969804005184456 1044404313275568 1131438006048532 1212255006480570 1293072006912608 1305505391594460 1414297507560665 1492006161822240 1616340008640760 1635813984648480 1697157009072798 1740673855459280 1939608010368912 2088808626551136 2262876012097064 2424510012961140 2611010783188920 2828595015121330 3232680017281520 3394314018145596 3481347710918560 3879216020737824 4242892522681995 4525752024194128 4849020025922280 5222021566377840 5657190030242660 6465360034563040 6788628036291192 8485785045363990 9051504048388256 9698040051844560 10444043132755680 11314380060485320 13577256072582384 16971570090727980 19396080103689120 22628760120970640 27154512145164768 33943140181455960 45257520241941280 67886280362911920 135772560725823840
- Sum of all divisors σ(n): 532721698891748352
- Sum of proper divisors (its aliquot sum) s(n): 396949138165924512
- 135772560725823840 is an abundant number, because the sum of its proper divisors (396949138165924512) is greater than itself. Its abundance is 261176577440100672
Bases of 135772560725823840
- Binary: 1111000100101110001101100101101000100111011010001011000002
- Hexadecimal: 0x1E25C6CB44ED160
- Base-36: 114VCTBSIR1C
Squares and roots of 135772560725823840
- 135772560725823840 squared (1357725607258238402) is 18434188246047522258481046712345600
- 135772560725823840 cubed (1357725607258238403) is 2502856943067755278720030851750931608710058799104000
-
The
square root of 135772560725823840 is 368473283.5984501063 -
The
cube root of 135772560725823840 is 513969.4864041943
Scales and comparisons
How big is 135772560725823840?- 135,772,560,725,823,840 seconds is equal to 4,317,147,458 years, 50 weeks, 5 days, 9 hours, 44 minutes.
-
To count from 1 to 135,772,560,725,823,840 would take you about twelve billion, nine hundred fifty-one million, four hundred forty-two thousand, three hundred seventy-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 135772560725823840 cubic inches would be around 42830.8 feet tall.
Recreational maths with 135772560725823840
- 135772560725823840 backwards is 048328527065277531
- The number of decimal digits it has is: 18
- The sum of 135772560725823840's digits is 75
- More coming soon!
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