1313216998851072
1,313,216,998,851,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 1313216998851072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
1313216998851072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 1313216998851072:
29 × 3 × 73 × 29 × 732 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 29 × 73 × 73 × 127 × 127)See below for interesting mathematical facts about the number 1313216998851072 from the Numbermatics database.
Names of 1313216998851072
- Cardinal: 1313216998851072 can be written as One quadrillion, three hundred thirteen trillion, two hundred sixteen billion, nine hundred ninety-eight million, eight hundred fifty-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.313216998851072 × 1015
Factors of 1313216998851072
Divisors of 1313216998851072
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 64 73 84 87 96 98 112 116 127 128 146 147 168 174 192 196 203 219 224 232 254 256 292 294 336 343 348 381 384 392 406 438 448 464 508 511 512 584 588 609 672 686 696 762 768 784 812 876 889 896 928 1016 1022 1029 1168 1176 1218 1344 1372 1392 1421 1524 1533 1536 1568 1624 1752 1778 1792 1856 2032 2044 2058 2117 2336 2352 2436 2667 2688 2744 2784 2842 3048 3066 3136 3248 3504 3556 3577 3584 3683 3712 4064 4088 4116 4234 4263 4672 4704 4872 5329 5334 5376 5488 5568 5684 6096 6132 6223 6272 6351 6496 7008 7112 7154 7366 7424 8128 8176 8232 8468 8526 9271 9344 9408 9744 9947 10658 10668 10731 10752 10976 11049 11136 11368 12192 12264 12446 12544 12702 12992 14016 14224 14308 14732 14819 14848 15987 16129 16256 16352 16464 16936 17052 18542 18669 18688 18816 19488 19894 21316 21336 21462 21952 22098 22272 22736 24384 24528 24892 25039 25088 25404 25781 25984 27813 28032 28448 28616 29464 29638 29841 31974 32258 32512 32704 32928 33872 34104 37084 37303 37338 37376 37632 38976 39788 42632 42672 42924 43561 43904 44196 44457 44544 45472 48387 48768 49056 49784 50078 50808 51562 51968 55626 56064 56896 57232 58928 59276 59682 63948 64516 64897 65024 65408 65856 67744 68208 74168 74606 74676 75117 75264 77343 77952 79576 85264 85344 85848 87122 87808 88392 88914 90944 96774 97536 98112 99568 100156 101616 103124 103733 103936 111252 111909 112128 112903 113792 114464 117856 118552 119364 127896 129032 129794 130683 130816 131712 135488 136416 148336 149212 149352 150234 154541 154686 155904 159152 170528 170688 171696 174244 175616 176784 177828 180467 181888 193548 194691 195072 196224 199136 200312 203232 206248 207466 222504 223818 225806 227584 228928 235712 237104 238728 255792 258064 259588 261121 261366 261632 263424 268859 270976 272832 296672 298424 298704 300468 309082 309372 311199 311808 318304 338709 341056 341376 343392 348488 353568 355656 360934 363776 387096 389382 392448 398272 400624 406464 412496 414932 445008 447636 451612 454279 455168 457856 463623 467741 471424 474208 477456 511584 516128 519176 522242 522732 526848 537718 541401 541952 545664 593344 596848 597408 600936 618164 618744 622398 636608 676783 677418 682112 682752 686784 696976 707136 711312 721868 726131 727552 774192 778764 783363 784896 790321 796544 801248 806577 812928 824992 829864 890016 895272 903224 908558 915712 927246 935482 942848 948416 954912 1023168 1032256 1038352 1044484 1045464 1075436 1081787 1082802 1083904 1091328 1177417 1186688 1193696 1194816 1201872 1236328 1237488 1244796 1263269 1273216 1353566 1354836 1362837 1364224 1365504 1373568 1393952 1403223 1414272 1422624 1443736 1452262 1548384 1557528 1566726 1580642 1593088 1602496 1613154 1625856 1649984 1659728 1780032 1790544 1806448 1817116 1827847 1831424 1854492 1870964 1882013 1885696 1896832 1909824 2030349 2046336 2064512 2076704 2088968 2090928 2150872 2163574 2165604 2178393 2182656 2354834 2370963 2373376 2387392 2389632 2403744 2472656 2474976 2489592 2526538 2546432 2707132 2709672 2725674 2728448 2747136 2787904 2806446 2828544 2845248 2887472 2904524 3096768 3115056 3133452 3161284 3179953 3186176 3204992 3226308 3245361 3251712 3274187 3299968 3319456 3532251 3560064 3581088 3612896 3634232 3655694 3708984 3741928 3764026 3789807 3793664 3819648 4060698 4092672 4129024 4153408 4177936 4181856 4301744 4327148 4331208 4356786 4709668 4737481 4741926 4746752 4774784 4779264 4807488 4945312 4949952 4979184 5053076 5092864 5414264 5419344 5451348 5483541 5494272 5532247 5575808 5612892 5646039 5657088 5690496 5774944 5809048 6193536 6230112 6266904 6322568 6359906 6409984 6452616 6490722 6548374 6599936 6638912 7064502 7120128 7162176 7225792 7268464 7311388 7417968 7483856 7528052 7572509 7579614 7587328 7639296 8121396 8185344 8241919 8258048 8306816 8355872 8363712 8603488 8654296 8662416 8713572 9419336 9474962 9483852 9539859 9549568 9558528 9614976 9822561 9890624 9899904 9958368 10106152 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122136997661 122376013312 123098706304 123214205184 132021413376 134771859488 139585140184 140541202788 141647826432 154024982272 155079947904 159525874496 160618517472 161567052024 176888065578 178280884992 183564019968 184648059456 187388270384 202157789232 206773263872 209377710276 211026353664 214158023296 215422736032 231037473408 235850754104 239288811744 244273995322 246197412608 246428410368 269543718976 279170280368 281082405576 308049964544 310159895808 319051748992 321237034944 323134104048 353776131156 356561769984 366410992983 367128039936 369296118912 374776540768 404315578464 418755420552 428316046592 430845472064 462074946816 471701508208 478577623488 488547990644 492394825216 539087437952 558340560736 562164811152 620319791616 638103497984 642474069888 646268208096 707552262312 732821985966 738592237824 749553081536 808631156928 837510841104 854958983627 856632093184 861690944128 924149893632 943403016416 957155246976 977095981288 1078174875904 1116681121472 1124329622304 1276206995968 1284948139776 1292536416192 1415104524624 1465643971932 1477184475648 1499106163072 1617262313856 1675021682208 1709917967254 1723381888256 1886806032832 1914310493952 1954191962576 2156349751808 2233362242944 2248659244608 2564876950881 2569896279552 2585072832384 2830209049248 2931287943864 2998212326144 3234524627712 3350043364416 3419835934508 3446763776512 3773612065664 3828620987904 3908383925152 4466724485888 4497318489216 5129753901762 5170145664768 5660418098496 5862575887728 5996424652288 6469049255424 6700086728832 6839671869016 7547224131328 7816767850304 8933448971776 8994636978432 10259507803524 10340291329536 11320836196992 11725151775456 13400173457664 13679343738032 15094448262656 15633535700608 17989273956864 20519015607048 22641672393984 23450303550912 26800346915328 27358687476064 31267071401216 41038031214096 45283344787968 46900607101824 54717374952128 62534142802432 82076062428192 93801214203648 109434749904256 164152124856384 187602428407296 218869499808512 328304249712768 437738999617024 656608499425536 1313216998851072
- Sum of all divisors σ(n): 4313126982384000
- Sum of proper divisors (its aliquot sum) s(n): 2999909983532928
- 1313216998851072 is an abundant number, because the sum of its proper divisors (2999909983532928) is greater than itself. Its abundance is 1686692984681856
Bases of 1313216998851072
- Binary: 1001010101001011101001010001011101011000010000000002
- Hexadecimal: 0x4AA5D28BAC200
- Base-36: CXHVK6UVPC
Squares and roots of 1313216998851072
- 1313216998851072 squared (13132169988510722) is 1724538886071416438568035549184
- 1313216998851072 cubed (13132169988510723) is 2264693780368676267910739593861668980547125248
-
The
square root of 1313216998851072 is 36238336.0386631439 -
The
cube root of 1313216998851072 is 109507.9120753993
Scales and comparisons
How big is 1313216998851072?- 1,313,216,998,851,072 seconds is equal to 41,756,238 years, 26 weeks, 6 days, 51 minutes, 12 seconds.
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To count from 1 to 1,313,216,998,851,072 would take you about one hundred twenty-five million, two hundred sixty-eight thousand, seven hundred fifteen 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 1313216998851072 cubic inches would be around 9125.7 feet tall.
Recreational maths with 1313216998851072
- 1313216998851072 backwards is 2701588996123131
- The number of decimal digits it has is: 16
- The sum of 1313216998851072's digits is 66
- More coming soon!
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"Number 1313216998851072 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 1313216998851072 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/1313216998851072/
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The information we have on file for 1313216998851072 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 1313216998851072, math, Factors of 1313216998851072, curriculum, school, college, exams, university, Prime factorization of 1313216998851072, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, three hundred thirteen trillion, two hundred sixteen billion, nine hundred ninety-eight million, eight hundred fifty-one thousand and seventy-two.