133088214010980800
133,088,214,010,980,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 133088214010980800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2268 divisors.
133088214010980800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 133088214010980800:
26 × 52 × 11 × 13 × 192 × 1372 × 2932
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 19 × 19 × 137 × 137 × 293 × 293)See below for interesting mathematical facts about the number 133088214010980800 from the Numbermatics database.
Names of 133088214010980800
- Cardinal: 133088214010980800 can be written as One hundred thirty-three quadrillion, eighty-eight trillion, two hundred fourteen billion, ten million, nine hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.330882140109808 × 1017
Factors of 133088214010980800
Divisors of 133088214010980800
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 32 38 40 44 50 52 55 64 65 76 80 88 95 100 104 110 130 137 143 152 160 176 190 200 208 209 220 247 260 274 275 286 293 304 320 325 352 361 380 400 416 418 440 475 494 520 548 550 572 586 608 650 685 704 715 722 760 800 832 836 880 950 988 1040 1045 1096 1100 1144 1172 1216 1235 1300 1370 1430 1444 1465 1507 1520 1600 1672 1760 1781 1805 1900 1976 2080 2090 2192 2200 2288 2344 2470 2600 2603 2717 2740 2860 2888 2930 3014 3040 3223 3344 3425 3520 3562 3575 3610 3800 3809 3952 3971 4160 4180 4384 4400 4576 4688 4693 4940 5200 5206 5225 5434 5480 5567 5720 5776 5860 6028 6080 6175 6446 6688 6850 7124 7150 7220 7325 7535 7600 7618 7904 7942 8360 8768 8800 8905 9025 9152 9376 9386 9880 10400 10412 10450 10868 10960 11134 11440 11552 11720 12056 12350 12892 13015 13376 13585 13700 14248 14300 14440 14650 15070 15200 15236 15808 15884 16115 16720 17600 17810 18050 18752 18769 18772 19045 19591 19760 19855 20800 20824 20900 21736 21920 22268 22880 23104 23440 23465 24112 24700 25784 26030 27170 27400 27835 28496 28600 28633 28880 29300 30140 30400 30472 31768 32230 33440 33839 35620 36100 37538 37544 37675 38090 39182 39520 39710 40141 41648 41800 41899 43472 43840 44525 44536 45760 46880 46930 48224 49400 49457 51568 51623 52060 54340 54800 55670 56992 57200 57266 57760 58600 60280 60944 61237 63536 64460 65075 66880 67678 67925 71240 72200 72371 75076 75088 75350 76180 78364 79040 79420 80282 80575 83296 83600 83798 85849 86944 89050 89072 93760 93845 93860 95225 96448 97955 98800 98914 99275 103136 103246 104120 105773 108680 109600 111340 113984 114400 114532 115520 117200 117325 120560 121888 122474 127072 128920 130150 135356 135850 139175 142480 143165 144400 144742 150152 150176 150700 152360 156728 158840 160564 161150 166592 167200 167596 169195 171698 173888 178100 178144 187690 187720 190450 195910 197600 197828 198550 200705 206272 206459 206492 208240 209495 211546 217360 219200 222680 228800 229064 234400 234650 241120 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350232142134160 368665412772800 378091517076650 409502196956864 415900668784315 437790177667700 454225986385600 465343405632800 483957141858112 485723408799200 511877746196080 538818680206400 604946427322640 636785712971200 639847182745100 665441070054904 700464284268320 756183034153300 831801337568630 875580355335400 930686811265600 971446817598400 1023755492392160 1209892854645280 1279694365490200 1330882140109808 1400928568536640 1512366068306600 1663602675137260 1751160710670800 2047510984784320 2079503343921575 2419785709290560 2559388730980400 2661764280219616 3024732136613200 3327205350274520 3502321421341600 4159006687843150 5118777461960800 5323528560439232 6049464273226400 6654410700549040 7004642842683200 8318013375686300 10237554923921600 12098928546452800 13308821401098080 16636026751372600 26617642802196160 33272053502745200 66544107005490400 133088214010980800
- Sum of all divisors σ(n): 410433015784326696
- Sum of proper divisors (its aliquot sum) s(n): 277344801773345896
- 133088214010980800 is an abundant number, because the sum of its proper divisors (277344801773345896) is greater than itself. Its abundance is 144256587762365096
Bases of 133088214010980800
- Binary: 1110110001101001100000110100001111110101001101001110000002
- Hexadecimal: 0x1D8D30687EA69C0
- Base-36: 10EFU1GYA4ZK
Squares and roots of 133088214010980800
- 133088214010980800 squared (1330882140109808002) is 17712472708632626120702977968640000
- 133088214010980800 cubed (1330882140109808003) is 2357321358510155712853060903233860869438042112000000
-
The
square root of 133088214010980800 is 364812573.8115132457 -
The
cube root of 133088214010980800 is 510559.7008076447
Scales and comparisons
How big is 133088214010980800?- 133,088,214,010,980,800 seconds is equal to 4,231,793,536 years, 35 weeks, 7 hours, 33 minutes, 20 seconds.
-
To count from 1 to 133,088,214,010,980,800 would take you about twelve billion, six hundred ninety-five million, three hundred eighty thousand, six hundred ten 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 133088214010980800 cubic inches would be around 42546.6 feet tall.
Recreational maths with 133088214010980800
- 133088214010980800 backwards is 008089010412880331
- The number of decimal digits it has is: 18
- The sum of 133088214010980800's digits is 56
- More coming soon!
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"Number 133088214010980800 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 133088214010980800 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/133088214010980800/
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The information we have on file for 133088214010980800 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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