61138026768000
61,138,026,768,000 is an even composite number composed of seven prime numbers multiplied together.
61138026768000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 61138026768000:
27 × 3 × 53 × 74 × 132 × 43 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 43 × 73)See below for interesting mathematical facts about the number 61138026768000 from the Numbermatics database.
Names of 61138026768000
- Cardinal: 61138026768000 can be written as Sixty-one trillion, one hundred thirty-eight billion, twenty-six million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 6.1138026768 × 1013
Factors of 61138026768000
Divisors of 61138026768000
- Number of divisors d(n): 3840
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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 25 26 28 30 32 35 39 40 42 43 48 49 50 52 56 60 64 65 70 73 75 78 80 84 86 91 96 98 100 104 105 112 120 125 128 129 130 140 146 147 150 156 160 168 169 172 175 182 192 195 196 200 208 210 215 219 224 240 245 250 258 260 273 280 292 294 300 301 312 320 325 336 338 343 344 350 364 365 375 384 390 392 400 416 420 430 438 448 455 480 490 500 507 511 516 520 525 546 559 560 584 588 600 602 624 637 640 645 650 672 676 686 688 700 728 730 735 750 780 784 800 832 840 845 860 875 876 896 903 910 949 960 975 980 1000 1014 1022 1029 1032 1040 1050 1075 1092 1095 1118 1120 1168 1176 1183 1200 1204 1225 1248 1274 1290 1300 1344 1352 1365 1372 1376 1400 1456 1460 1470 1500 1505 1533 1560 1568 1600 1625 1664 1677 1680 1690 1715 1720 1750 1752 1806 1820 1825 1898 1911 1920 1950 1960 2000 2028 2044 2058 2064 2080 2100 2107 2150 2184 2190 2236 2240 2275 2336 2352 2366 2400 2401 2408 2450 2496 2535 2548 2555 2580 2600 2625 2688 2704 2730 2744 2752 2795 2800 2847 2912 2920 2940 3000 3010 3066 3120 3136 3139 3185 3200 3225 3250 3354 3360 3380 3430 3440 3500 3504 3549 3577 3612 3640 3650 3675 3796 3822 3900 3913 3920 4000 4056 4088 4116 4128 4160 4200 4214 4225 4300 4368 4380 4459 4472 4480 4515 4550 4672 4704 4732 4745 4800 4802 4816 4875 4900 4992 5070 5096 5110 5145 5160 5200 5250 5375 5408 5460 5475 5488 5504 5590 5600 5694 5824 5840 5880 5915 6000 6020 6125 6132 6240 6272 6278 6321 6370 6450 6500 6643 6708 6720 6760 6825 6860 6880 7000 7008 7098 7154 7203 7224 7267 7280 7300 7350 7525 7592 7644 7665 7800 7826 7840 8000 8112 8176 8232 8256 8281 8320 8385 8400 8428 8450 8575 8600 8736 8760 8918 8944 9030 9100 9125 9344 9408 9417 9464 9490 9555 9600 9604 9632 9750 9800 10140 10192 10220 10290 10320 10400 10500 10535 10731 10750 10816 10920 10950 10976 11180 11200 11375 11388 11648 11680 11739 11760 11830 12000 12005 12040 12250 12264 12337 12480 12556 12642 12675 12740 12775 12900 13000 13286 13377 13416 13440 13520 13650 13720 13760 13975 14000 14016 14196 14235 14308 14406 14448 14534 14560 14600 14700 14749 15050 15184 15288 15330 15600 15652 15680 15695 15925 16000 16125 16224 16352 16464 16512 16562 16770 16800 16856 16900 17150 17200 17472 17520 17745 17836 17885 17888 18060 18200 18250 18375 18816 18834 18928 18980 19110 19208 19264 19500 19565 19600 19929 20280 20384 20440 20580 20640 20800 21000 21070 21125 21462 21500 21632 21801 21840 21900 21952 21973 22295 22360 22400 22575 22750 22776 23360 23478 23520 23660 23725 24000 24010 24080 24500 24528 24674 24843 24960 25039 25112 25284 25350 25480 25550 25725 25800 26000 26572 26754 26832 27040 27300 27375 27391 27440 27520 27950 28000 28032 28392 28470 28616 28812 28896 29068 29120 29200 29400 29498 29575 30100 30368 30576 30660 31200 31213 31304 31360 31390 31605 31850 32250 32448 32704 32928 33124 33215 33540 33600 33712 33800 34125 34300 34400 34944 35040 35490 35672 35770 35776 36015 36120 36335 36400 36500 36750 37011 37625 37668 37856 37960 38220 38325 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167961612000 174680076480 177726822000 178244976000 180881736000 181958413000 188117005440 191056333650 195955214000 203116368000 203793422560 207952472000 209376804000 218350095600 223948816000 235146256800 236969096000 244552107072 249542966400 254741778200 272937619500 279169072000 284362915200 291133460800 293932821000 305690133840 311928708000 313528342400 318427222750 335923224000 349360152960 355453644000 361763472000 363916826000 382112667300 391910428000 407586845120 415904944000 418753608000 436700191200 470292513600 473938192000 477640834125 489104214144 509483556400 545875239000 582266921600 587865642000 611380267680 623857416000 636854445500 671846448000 710907288000 727833652000 764225334600 783820856000 815173690240 837507216000 873400382400 940585027200 955281668250 1018967112800 1091750478000 1175731284000 1222760535360 1247714832000 1273708891000 1421814576000 1455667304000 1528450669200 1567641712000 1746800764800 1910563336500 2037934225600 2183500956000 2351462568000 2445521070720 2547417782000 2911334608000 3056901338400 3821126673000 4075868451200 4367001912000 4702925136000 5094835564000 6113802676800 7642253346000 8734003824000 10189671128000 12227605353600 15284506692000 20379342256000 30569013384000 61138026768000
- Sum of all divisors σ(n): 265566545861760
- Sum of proper divisors (its aliquot sum) s(n): 204428519093760
- 61138026768000 is an abundant number, because the sum of its proper divisors (204428519093760) is greater than itself. Its abundance is 143290492325760
Bases of 61138026768000
- Binary: 11011110011010110011100101111000100110100000002
- Hexadecimal: 0x379ACE5E2680
- Base-36: LO6F6LMDC
Squares and roots of 61138026768000
- 61138026768000 squared (611380267680002) is 3737858317084684525824000000
- 61138026768000 cubed (611380267680003) is 228525281844914874262663099256832000000000
-
The
square root of 61138026768000 is 7819080.9413894675 -
The
cube root of 61138026768000 is 39394.6402837561
Scales and comparisons
How big is 61138026768000?- 61,138,026,768,000 seconds is equal to 1,944,000 years, 7 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 61,138,026,768,000 would take you about four million, eight hundred sixty thousand 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 61138026768000 cubic inches would be around 3282.9 feet tall.
Recreational maths with 61138026768000
- 61138026768000 backwards is 00086762083116
- 61138026768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 61138026768000's digits is 48
- More coming soon!
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"Number 61138026768000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 61138026768000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/61138026768000/
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The information we have on file for 61138026768000 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!
Keywords: Divisors of 61138026768000, math, Factors of 61138026768000, curriculum, school, college, exams, university, Prime factorization of 61138026768000, STEM, science, technology, engineering, physics, economics, calculator, sixty-one trillion, one hundred thirty-eight billion, twenty-six million, seven hundred sixty-eight thousand.