6131335142400
6,131,335,142,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 6131335142400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2376 divisors.
6131335142400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 6131335142400:
210 × 3 × 52 × 132 × 19 × 232 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 19 × 23 × 23 × 47)See below for interesting mathematical facts about the number 6131335142400 from the Numbermatics database.
Names of 6131335142400
- Cardinal: 6131335142400 can be written as Six trillion, one hundred thirty-one billion, three hundred thirty-five million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 6.1313351424 × 1012
Factors of 6131335142400
Divisors of 6131335142400
- Number of divisors d(n): 2376
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 23 24 25 26 30 32 38 39 40 46 47 48 50 52 57 60 64 65 69 75 76 78 80 92 94 95 96 100 104 114 115 120 128 130 138 141 150 152 156 160 169 184 188 190 192 195 200 208 228 230 235 240 247 256 260 276 282 285 299 300 304 312 320 325 338 345 368 376 380 384 390 400 416 437 456 460 470 475 480 494 507 512 520 529 552 564 570 575 598 600 608 611 624 640 650 676 690 705 736 741 752 760 768 780 800 832 845 874 893 897 912 920 940 950 960 975 988 1014 1024 1040 1058 1081 1104 1128 1140 1150 1175 1196 1200 1216 1222 1235 1248 1280 1300 1311 1352 1380 1410 1425 1472 1482 1495 1504 1520 1536 1560 1587 1600 1664 1690 1725 1748 1786 1794 1824 1833 1840 1880 1900 1920 1950 1976 2028 2080 2116 2162 2185 2208 2256 2280 2300 2350 2392 2400 2432 2444 2470 2496 2535 2560 2600 2622 2645 2679 2704 2760 2820 2850 2944 2964 2990 3008 3040 3055 3072 3120 3174 3200 3211 3243 3328 3380 3450 3496 3525 3572 3588 3648 3666 3680 3705 3760 3800 3840 3887 3900 3952 4056 4160 4225 4232 4324 4370 4416 4465 4485 4512 4560 4600 4700 4784 4800 4864 4888 4940 4992 5070 5120 5200 5244 5290 5358 5405 5408 5520 5640 5681 5700 5888 5928 5980 6016 6080 6110 6175 6240 6348 6400 6422 6486 6555 6656 6760 6877 6900 6992 7050 7144 7176 7296 7332 7360 7410 7475 7520 7600 7680 7774 7800 7904 7935 7943 8112 8320 8450 8464 8648 8740 8832 8930 8970 9024 9120 9165 9200 9400 9568 9600 9633 9728 9776 9880 9984 10051 10140 10400 10488 10580 10716 10810 10816 10925 11040 11280 11362 11400 11609 11661 11776 11856 11960 12032 12160 12220 12350 12480 12675 12696 12800 12844 12972 13110 13225 13312 13395 13520 13754 13800 13984 14053 14100 14288 14352 14592 14664 14720 14820 14950 15040 15200 15275 15360 15548 15600 15808 15870 15886 16055 16215 16224 16640 16900 16928 17043 17296 17480 17664 17860 17940 18048 18240 18330 18400 18525 18800 19136 19200 19266 19435 19456 19552 19760 19968 20102 20280 20539 20631 20800 20976 21160 21432 21620 21632 21850 22080 22325 22425 22560 22724 22800 23218 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29477572800 30656675712 31442744320 31934037200 32270184960 32613484800 33322473600 36280089600 38320844640 39303430400 40337731200 40875567616 43484646400 44429964800 47164116480 47901055800 51094459520 53315957760 53783641600 58955145600 61313351424 63868074400 64540369920 65226969600 66644947200 76641689280 78606860800 80675462400 81751135232 88859929600 94328232960 95802111600 102188919040 107567283200 117910291200 122626702848 127736148800 130453939200 133289894400 153283378560 157213721600 161350924800 191604223200 204377838080 235820582400 245253405696 255472297600 266579788800 306566757120 322701849600 383208446400 408755676160 471641164800 510944595200 613133514240 766416892800 1021889190400 1226267028480 1532833785600 2043778380800 3065667571200 6131335142400
- Sum of all divisors σ(n): 24659654181120
- Sum of proper divisors (its aliquot sum) s(n): 18528319038720
- 6131335142400 is an abundant number, because the sum of its proper divisors (18528319038720) is greater than itself. Its abundance is 12396983896320
Bases of 6131335142400
- Binary: 10110010011100100000000110110011100000000002
- Hexadecimal: 0x593900D9C00
- Base-36: 268P2MY2O
Squares and roots of 6131335142400
- 6131335142400 squared (61313351424002) is 37593270628429228277760000
- 6131335142400 cubed (61313351424003) is 230496941321841859850741716353024000000
-
The
square root of 6131335142400 is 2476153.2954160977 -
The
cube root of 6131335142400 is 18302.8344643517
Scales and comparisons
How big is 6131335142400?- 6,131,335,142,400 seconds is equal to 194,957 years, 25 weeks, 4 days, 2 hours, 40 minutes.
-
To count from 1 to 6,131,335,142,400 would take you about four hundred eighty-seven thousand, three hundred ninety-three 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 6131335142400 cubic inches would be around 1525.2 feet tall.
Recreational maths with 6131335142400
- 6131335142400 backwards is 0042415331316
- The number of decimal digits it has is: 13
- The sum of 6131335142400's digits is 33
- More coming soon!
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"Number 6131335142400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 6131335142400 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/6131335142400/
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Numbermatics. 2024. "Number 6131335142400 - Facts about the integer". https://numbermatics.com/n/6131335142400/
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