122920765134513216
122,920,765,134,513,216 is an even composite number composed of six prime numbers multiplied together.
What does the number 122920765134513216 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
122920765134513216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 122920765134513216:
26 × 3 × 135 × 19 × 293 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 13 × 13 × 19 × 29 × 29 × 29 × 61 × 61)See below for interesting mathematical facts about the number 122920765134513216 from the Numbermatics database.
Names of 122920765134513216
- Cardinal: 122920765134513216 can be written as One hundred twenty-two quadrillion, nine hundred twenty trillion, seven hundred sixty-five billion, one hundred thirty-four million, five hundred thirteen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.22920765134513216 × 1017
Factors of 122920765134513216
Divisors of 122920765134513216
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 29 32 38 39 48 52 57 58 61 64 76 78 87 96 104 114 116 122 152 156 169 174 183 192 208 228 232 244 247 304 312 338 348 366 377 416 456 464 488 494 507 551 608 624 676 696 732 741 754 793 832 841 912 928 976 988 1014 1102 1131 1159 1216 1248 1352 1392 1464 1482 1508 1586 1653 1682 1769 1824 1856 1952 1976 2028 2197 2204 2262 2318 2379 2496 2523 2704 2784 2928 2964 3016 3172 3211 3306 3364 3477 3538 3648 3721 3904 3952 4056 4394 4408 4524 4636 4758 4901 5046 5307 5408 5568 5856 5928 6032 6344 6422 6591 6612 6728 6954 7076 7163 7442 7904 8112 8788 8816 9048 9272 9516 9633 9802 10092 10309 10614 10816 10933 11163 11712 11856 12064 12688 12844 13182 13224 13456 13908 14152 14326 14703 14884 15067 15808 15979 16224 17576 17632 18096 18544 19032 19266 19604 20184 20618 21228 21489 21866 22326 22997 23712 24128 24389 25376 25688 26364 26448 26912 27816 28304 28561 28652 29406 29768 30134 30927 31958 32448 32799 33611 35152 35264 36192 37088 38064 38532 39208 40368 41236 41743 42456 42978 43732 44652 45201 45994 47424 47937 48373 48778 50752 51301 51376 52728 52896 53824 55632 56608 57122 57304 58812 59536 60268 61854 63713 63916 65598 67222 68991 70304 70699 72384 73167 74176 76128 77064 78416 80736 82472 83486 84912 85683 85956 87464 89304 90402 91988 93119 95874 96746 97556 100833 102602 102752 105456 105792 107909 111264 113216 114244 114608 117624 119072 120536 123708 125229 127426 127832 131196 134017 134444 137982 140608 141398 142129 145119 146334 152256 153903 154128 156832 161472 164944 166972 169824 171366 171912 174928 178608 180804 183976 186238 191139 191748 193492 195112 195871 201666 205204 205504 207727 210912 212097 215818 222528 228488 229216 235248 238144 241072 247416 250458 254852 255664 262392 268034 268888 275964 279357 282796 284258 290238 292668 298961 307806 308256 313664 317057 323727 329888 333944 339648 342732 343824 349856 357216 361608 367952 371293 372476 382278 383496 386984 390224 391742 402051 403332 410408 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2560849273635692 3151814490628544 3234756977224032 3841273910453538 4238647073603904 4727721735942816 5121698547271384 6469513954448064 7682547820907076 9455443471885632 10243397094542768 15365095641814152 20486794189085536 30730191283628304 40973588378171072 61460382567256608 122920765134513216
- Sum of all divisors σ(n): 390519004256035200
- Sum of proper divisors (its aliquot sum) s(n): 267598239121521984
- 122920765134513216 is an abundant number, because the sum of its proper divisors (267598239121521984) is greater than itself. Its abundance is 144677473987008768
Bases of 122920765134513216
- Binary: 1101101001011001111001000110111010101110010100100010000002
- Hexadecimal: 0x1B4B3C8DD5CA440
- Base-36: XMBRVXSZEIO
Squares and roots of 122920765134513216
- 122920765134513216 squared (1229207651345132162) is 15109514501254159844754285278662656
- 122920765134513216 cubed (1229207651345132163) is 1857273083305184175311811057577411495066210037661696
-
The
square root of 122920765134513216 is 350600577.7726460279 -
The
cube root of 122920765134513216 is 497212.1717627405
Scales and comparisons
How big is 122920765134513216?- 122,920,765,134,513,216 seconds is equal to 3,908,500,112 years, 20 weeks, 17 hours, 13 minutes, 36 seconds.
-
To count from 1 to 122,920,765,134,513,216 would take you about eleven billion, seven hundred twenty-five million, five hundred thousand, three hundred thirty-seven 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 122920765134513216 cubic inches would be around 41434.3 feet tall.
Recreational maths with 122920765134513216
- 122920765134513216 backwards is 612315431567029221
- The number of decimal digits it has is: 18
- The sum of 122920765134513216's digits is 60
- More coming soon!
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"Number 122920765134513216 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 122920765134513216 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/122920765134513216/
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The information we have on file for 122920765134513216 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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