61268088768000
61,268,088,768,000 is an even composite number composed of six prime numbers multiplied together.
61268088768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 61268088768000:
29 × 3 × 53 × 181 × 1093 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 181 × 1093 × 1613)See below for interesting mathematical facts about the number 61268088768000 from the Numbermatics database.
Names of 61268088768000
- Cardinal: 61268088768000 can be written as Sixty-one trillion, two hundred sixty-eight billion, eighty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 6.1268088768 × 1013
Factors of 61268088768000
Divisors of 61268088768000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 181 192 200 240 250 256 300 320 362 375 384 400 480 500 512 543 600 640 724 750 768 800 905 960 1000 1086 1093 1200 1280 1448 1500 1536 1600 1613 1810 1920 2000 2172 2186 2400 2560 2715 2896 3000 3200 3226 3279 3620 3840 4000 4344 4372 4525 4800 4839 5430 5465 5792 6000 6400 6452 6558 7240 7680 8000 8065 8688 8744 9050 9600 9678 10860 10930 11584 12000 12800 12904 13116 13575 14480 16000 16130 16395 17376 17488 18100 19200 19356 21720 21860 22625 23168 24000 24195 25808 26232 27150 27325 28960 32000 32260 32790 34752 34976 36200 38400 38712 40325 43440 43720 45250 46336 48000 48390 51616 52464 54300 54650 57920 64000 64520 65580 67875 69504 69952 72400 77424 80650 81975 86880 87440 90500 92672 96000 96780 103232 104928 108600 109300 115840 120975 129040 131160 135750 136625 139008 139904 144800 154848 161300 163950 173760 174880 181000 192000 193560 197833 201625 206464 209856 217200 218600 231680 241950 258080 262320 271500 273250 278016 279808 289600 291953 309696 322600 327900 347520 349760 362000 387120 395666 403250 409875 412928 419712 434400 437200 463360 483900 516160 524640 543000 546500 559616 579200 583906 593499 604875 619392 645200 655800 695040 699520 724000 774240 791332 806500 819750 825856 839424 868800 874400 875859 967800 989165 1032320 1049280 1086000 1093000 1158400 1167812 1186998 1209750 1238784 1290400 1311600 1390080 1399040 1448000 1459765 1548480 1582664 1613000 1639500 1678848 1737600 1748800 1751718 1763009 1935600 1978330 2064640 2098560 2172000 2186000 2316800 2335624 2373996 2419500 2477568 2580800 2623200 2798080 2896000 2919530 2967495 3096960 3165328 3226000 3279000 3475200 3497600 3503436 3526018 3871200 3956660 4129280 4197120 4344000 4372000 4379295 4671248 4747992 4839000 4945825 5161600 5246400 5289027 5792000 5839060 5934990 6193920 6330656 6452000 6558000 6950400 6995200 7006872 7052036 7298825 7742400 7913320 8394240 8688000 8744000 8758590 8815045 9342496 9495984 9678000 9891650 10323200 10492800 10578054 11584000 11678120 11869980 12387840 12661312 12904000 13116000 13990400 14013744 14104072 14597650 14837475 15484800 15826640 17376000 17488000 17517180 17630090 18684992 18991968 19356000 19783300 20646400 20985600 21156108 21896475 23356240 23739960 24729125 25322624 25808000 26232000 26445135 28027488 28208144 29195300 29674950 30969600 31653280 34752000 34976000 35034360 35260180 36494125 37369984 37983936 38712000 39566600 41971200 42312216 43792950 44075225 46712480 47479920 49458250 50645248 51616000 52464000 52890270 56054976 56416288 58390600 59349900 61939200 63306560 69952000 70068720 70520360 72988250 74187375 74739968 75967872 77424000 79133200 84624432 87585900 88150450 93424960 94959840 98916500 101290496 103232000 104928000 105780540 109482375 112109952 112832576 116781200 118699800 126613120 132225675 140137440 141040720 145976500 148374750 149479936 151935744 154848000 158266400 169248864 175171800 176300900 186849920 189919680 197833000 209856000 211561080 218964750 220376125 224219904 225665152 233562400 237399600 253226240 264451350 280274880 282081440 291953000 296749500 303871488 309696000 316532800 319104629 338497728 350343600 352601800 373699840 379839360 395666000 423122160 437929500 440752250 448439808 451330304 467124800 474799200 506452480 528902700 560549760 564162880 583906000 593499000 633065600 638209258 661128375 676995456 700687200 705203600 747399680 759678720 791332000 846244320 875859000 881504500 902660608 934249600 949598400 957313887 1057805400 1121099520 1128325760 1167812000 1186998000 1266131200 1276418516 1322256750 1353990912 1401374400 1410407200 1519357440 1582664000 1595523145 1692488640 1751718000 1763009000 1868499200 1899196800 1914627774 2115610800 2242199040 2256651520 2335624000 2373996000 2532262400 2552837032 2644513500 2707981824 2802748800 2820814400 3165328000 3191046290 3384977280 3503436000 3526018000 3736998400 3798393600 3829255548 4231221600 4513303040 4671248000 4747992000 4786569435 5105674064 5289027000 5605497600 5641628800 6330656000 6382092580 6769954560 7006872000 7052036000 7596787200 7658511096 7977615725 8462443200 9342496000 9495984000 9573138870 10211348128 10578054000 11210995200 11283257600 12661312000 12764185160 13539909120 14013744000 14104072000 15317022192 15955231450 16924886400 18684992000 18991968000 19146277740 20422696256 21156108000 22566515200 23932847175 25528370320 28027488000 28208144000 30634044384 31910462900 33849772800 37983936000 38292555480 39888078625 40845392512 42312216000 47865694350 51056740640 56054976000 56416288000 61268088768 63820925800 67699545600 76585110960 79776157250 81690785024 84624432000 95731388700 102113481280 112832576000 119664235875 122536177536 127641851600 153170221920 159552314500 163381570048 169248864000 191462777400 204226962560 239328471750 245072355072 255283703200 306340443840 319104629000 338497728000 382925554800 408453925120 478656943500 490144710144 510567406400 612680887680 638209258000 765851109600 816907850240 957313887000 1021134812800 1225361775360 1276418516000 1531702219200 1914627774000 2042269625600 2450723550720 2552837032000 3063404438400 3829255548000 4084539251200 5105674064000 6126808876800 7658511096000 10211348128000 12253617753600 15317022192000 20422696256000 30634044384000 61268088768000
- Sum of all divisors σ(n): 205140997885824
- Sum of proper divisors (its aliquot sum) s(n): 143872909117824
- 61268088768000 is an abundant number, because the sum of its proper divisors (143872909117824) is greater than itself. Its abundance is 82604820349824
Bases of 61268088768000
- Binary: 11011110111001000101101010101011000110000000002
- Hexadecimal: 0x37B916AAC600
- Base-36: LPU665NUO
Squares and roots of 61268088768000
- 61268088768000 squared (612680887680002) is 3753778701283527757824000000
- 61268088768000 cubed (612680887680003) is 229986846685666934202552838520832000000000
-
The
square root of 61268088768000 is 7827393.4849348157 -
The
cube root of 61268088768000 is 39422.5558977053
Scales and comparisons
How big is 61268088768000?- 61,268,088,768,000 seconds is equal to 1,948,135 years, 36 weeks, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 61,268,088,768,000 would take you about four million, eight hundred seventy thousand, three hundred thirty-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 61268088768000 cubic inches would be around 3285.2 feet tall.
Recreational maths with 61268088768000
- 61268088768000 backwards is 00086788086216
- 61268088768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 61268088768000's digits is 60
- More coming soon!
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