137140356358286839680
137,140,356,358,286,839,680 is an even composite number composed of seven prime numbers multiplied together.
137140356358286839680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137140356358286839680:
27 × 3 × 5 × 232 × 41 × 6832 × 26572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 23 × 23 × 41 × 683 × 683 × 2657 × 2657)See below for interesting mathematical facts about the number 137140356358286839680 from the Numbermatics database.
Names of 137140356358286839680
- Cardinal: 137140356358286839680 can be written as One hundred thirty-seven quintillion, one hundred forty quadrillion, three hundred fifty-six trillion, three hundred fifty-eight billion, two hundred eighty-six million, eight hundred thirty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3714035635828683968 × 1020
Factors of 137140356358286839680
Divisors of 137140356358286839680
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 41 46 48 60 64 69 80 82 92 96 115 120 123 128 138 160 164 184 192 205 230 240 246 276 320 328 345 368 384 410 460 480 492 529 552 615 640 656 683 690 736 820 920 943 960 984 1058 1104 1230 1312 1366 1380 1472 1587 1640 1840 1886 1920 1968 2049 2116 2208 2460 2624 2645 2657 2732 2760 2829 2944 3174 3280 3415 3680 3772 3936 4098 4232 4416 4715 4920 5248 5290 5314 5464 5520 5658 6348 6560 6830 7360 7544 7872 7935 7971 8196 8464 8832 9430 9840 10245 10580 10628 10928 11040 11316 12696 13120 13285 13660 14145 14720 15088 15709 15744 15870 15942 16392 16928 18860 19680 20490 21160 21256 21689 21856 22080 22632 25392 26240 26570 27320 28003 28290 30176 31418 31740 31884 32784 33856 37720 39360 39855 40980 42320 42512 43378 43712 44160 45264 47127 50784 53140 54640 56006 56580 60352 61111 62836 63480 63768 65067 65568 67712 75440 78545 78720 79710 81960 84009 84640 85024 86756 87424 90528 94254 101568 106280 108445 108937 109280 112012 113160 120704 122222 125672 126960 127536 130134 131136 140015 150880 157090 159420 163920 168018 169280 170048 173512 181056 183333 188508 203136 212560 216890 217874 218560 224024 226320 235635 244444 251344 253920 255072 260268 262272 280030 301760 305555 314180 318840 325335 326811 327840 336036 338560 340096 347024 361307 362112 366666 377016 420045 425120 433780 435748 437120 448048 452640 466489 471270 488888 502688 507840 510144 520536 544685 560060 603520 611110 628360 637680 644069 650670 653622 655680 672072 694048 722614 733332 754032 840090 850240 867560 871496 896096 905280 916665 932978 942540 977776 1005376 1015680 1020288 1041072 1083921 1089370 1120120 1222220 1256720 1275360 1288138 1301340 1307244 1311360 1344144 1388096 1399467 1405553 1445228 1466664 1508064 1634055 1680180 1700480 1735120 1742992 1792192 1806535 1810560 1814731 1833330 1865956 1885080 1932207 1955552 2010752 2082144 2167842 2178740 2240240 2332445 2444440 2505551 2513440 2550720 2576276 2602680 2614488 2688288 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3105533432026423 3137361739528890 3161518658266560 3225921066011640 3240556624723224 3346519188830816 3440982470412416 3484257021297938 3635746457006544 4050695780904030 4183148986038520 4301228088015520 4320742166297632 4365025028909760 4544683071258180 4847661942675392 4897345154386560 5019778783246224 5161473705618624 5226385531946907 5400927707872040 6059577428344240 6211066864052846 6274723479057780 6323037316533120 6451842132023280 6481113249446448 6693038377661632 6968514042595876 7271492914013088 8101391561808060 8366297972077040 8602456176031040 8641484332595264 8710642553244845 8730050057819520 9089366142516360 9316600296079269 9695323885350784 10039557566492448 10322947411237248 10452771063893814 10801855415744080 12119154856688480 12422133728105692 12549446958115560 12903684264046560 12962226498892896 13386076755323264 13937028085191752 14542985828026176 15527667160132115 16202783123616120 16732595944154080 17204912352062080 17282968665190528 17421285106489690 18178732285032720 18633200592158538 20079115132984896 20905542127787628 21603710831488160 24238309713376960 24844267456211384 25098893916231120 25807368528093120 25924452997785792 26131927659734535 27874056170383504 29085971656052352 31055334320264230 32405566247232240 33465191888308160 34842570212979380 36357464570065440 37266401184317076 40158230265969792 41811084255575256 43207421662976320 46583001480396345 48476619426753920 49688534912422768 50197787832462240 51614737056186240 51848905995571584 52263855319469070 55748112340767008 62110668640528460 64811132494464480 66930383776616320 69685140425958760 71427268936607729 72714929140130880 74532802368634152 83622168511150512 86414843325952640 93166002960792690 99377069824845536 100395575664924480 104527710638938140 111496224681534016 124221337281056920 129622264988928960 139370280851917520 142854537873215458 145429858280261760 149065604737268304 167244337022301024 186332005921585380 198754139649691072 200791151329848960 209055421277876280 214281806809823187 222992449363068032 248442674562113840 259244529977857920 278740561703835040 285709075746430916 298131209474536608 334488674044602048 357136344683038645 372664011843170760 397508279299382144 418110842555752560 428563613619646374 496885349124227680 557481123407670080 571418151492861832 596262418949073216 668977348089204096 714272689366077290 745328023686341520 836221685111505120 857127227239292748 993770698248455360 1071409034049115935 1114962246815340160 1142836302985723664 1192524837898146432 1428545378732154580 1490656047372683040 1672443370223010240 1714254454478585496 1987541396496910720 2142818068098231870 2285672605971447328 2857090757464309160 2981312094745366080 3344886740446020480 3428508908957170992 4285636136196463740 4571345211942894656 5714181514928618320 5962624189490732160 6857017817914341984 8571272272392927480 9142690423885789312 11428363029857236640 13714035635828683968 17142544544785854960 22856726059714473280 27428071271657367936 34285089089571709920 45713452119428946560 68570178179143419840 137140356358286839680
- Sum of all divisors σ(n): 468975517588239646320
- Sum of proper divisors (its aliquot sum) s(n): 331835161229952806640
- 137140356358286839680 is an abundant number, because the sum of its proper divisors (331835161229952806640) is greater than itself. Its abundance is 194694804871665966960
Bases of 137140356358286839680
- Binary: 11101101111001101000110101110000001110100100010101110001111100000002
- Hexadecimal: 0x76F346B81D22B8F80
- Base-36: SXXEV1QJWN0QO
Squares and roots of 137140356358286839680
- 137140356358286839680 squared (1371403563582868396802) is 18807477342077905616029711647882022502400
- 137140356358286839680 cubed (1371403563582868396803) is 2579264144892969375163013049488496147280481662271541215232000
-
The
square root of 137140356358286839680 is 11710694102.3274465719 -
The
cube root of 137140356358286839680 is 5156896.6120329609
Scales and comparisons
How big is 137140356358286839680?- 137,140,356,358,286,839,680 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,140,356,358,286,839,680 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137140356358286839680 cubic inches would be around 429741.4 feet tall.
Recreational maths with 137140356358286839680
- 137140356358286839680 backwards is 086938682853653041731
- 137140356358286839680 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137140356358286839680's digits is 96
- More coming soon!
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"Number 137140356358286839680 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 137140356358286839680 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137140356358286839680/
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Numbermatics. 2024. "Number 137140356358286839680 - Facts about the integer". https://numbermatics.com/n/137140356358286839680/
The information we have on file for 137140356358286839680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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