13727661214144020
13,727,661,214,144,020 is an even composite number composed of ten prime numbers multiplied together.
What does the number 13727661214144020 look like?
This visualization shows the relationship between its 10 prime factors (large circles) and 1536 divisors.
13727661214144020 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13727661214144020:
22 × 3 × 5 × 11 × 13 × 31 × 197 × 241 × 307 × 3541
(2 × 2 × 3 × 5 × 11 × 13 × 31 × 197 × 241 × 307 × 3541)See below for interesting mathematical facts about the number 13727661214144020 from the Numbermatics database.
Names of 13727661214144020
- Cardinal: 13727661214144020 can be written as Thirteen quadrillion, seven hundred twenty-seven trillion, six hundred sixty-one billion, two hundred fourteen million, one hundred forty-four thousand and twenty.
Scientific notation
- Scientific notation: 1.372766121414402 × 1016
Factors of 13727661214144020
Divisors of 13727661214144020
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 31 33 39 44 52 55 60 62 65 66 78 93 110 124 130 132 143 155 156 165 186 195 197 220 241 260 286 307 310 330 341 372 390 394 403 429 465 482 572 591 614 620 660 682 715 723 780 788 806 858 921 930 964 985 1023 1182 1205 1209 1228 1364 1430 1446 1535 1612 1705 1716 1842 1860 1970 2015 2046 2145 2167 2364 2410 2418 2561 2651 2860 2892 2955 3070 3133 3377 3410 3541 3615 3684 3940 3991 4030 4092 4290 4334 4433 4605 4820 4836 5115 5122 5302 5910 6045 6107 6140 6266 6501 6754 6820 7082 7230 7471 7683 7953 7982 8060 8580 8668 8866 9210 9399 9517 10131 10230 10244 10604 10623 10835 11820 11973 12090 12214 12532 12805 13002 13255 13299 13508 14164 14460 14942 15366 15665 15906 15964 16885 17705 17732 18321 18420 18798 19034 19955 20262 20460 21246 21670 22165 22413 23946 24180 24428 25610 26004 26510 26598 28171 28551 29884 30535 30732 31330 31812 32505 33770 34463 35410 36642 37355 37596 38068 38415 38951 39765 39910 40524 42492 43340 43901 44330 44826 46033 46995 47477 47585 47892 50655 51220 53020 53115 53196 56342 57102 59865 60479 61070 62660 65010 66495 67177 67540 68926 70820 73284 73987 74710 76830 77902 79391 79530 79820 82181 84513 87802 88660 89652 91605 92066 93990 94954 95170 97123 101310 103389 104687 106230 109771 112065 112684 114204 116853 119730 120958 122140 123721 130020 131703 132990 134354 137852 138099 140855 142431 142755 147974 149420 153660 155804 158782 159060 164362 169026 172315 175604 181437 183210 184132 187980 189908 190340 194246 194755 201531 202620 206778 209374 212460 219505 219542 221961 224130 230165 233706 237385 238173 239460 241916 246543 247442 263406 265980 268708 276198 281710 284862 285510 291369 295948 302395 314061 317564 328724 329313 335885 338052 344630 362874 366420 369935 371163 388492 389510 396955 403062 410905 413556 418748 422565 439010 439084 443922 448260 460330 467412 474770 476346 485615 493086 494884 506363 516945 522247 523435 526812 548855 552396 563420 569724 571020 582738 584265 604790 617201 618605 628122 658515 658626 665269 671770 689260 690495 697577 712155 725748 739870 742326 779020 786227 793910 806124 813857 821810 845130 853381 873301 878020 887844 907185 920660 949540 952692 961831 971230 986172 1007655 1012726 1033890 1044494 1046870 1068353 1087087 1097710 1109805 1165476 1168530 1190865 1207481 1209580 1232715 1234402 1237210 1256244 1317030 1317252 1330538 1343540 1360931 1380990 1395154 1424310 1427023 1456845 1471787 1479740 1484652 1519089 1566741 1570305 1572454 1587820 1627714 1643620 1646565 1690260 1706762 1746602 1814370 1851603 1855815 1874849 1923662 1942460 1995807 2015310 2025452 2067780 2088988 2092731 2093740 2136706 2174174 2195420 2219610 2293597 2337060 2358681 2381730 2414962 2441571 2465430 2468804 2474420 2531815 2560143 2611235 2619903 2634060 2661076 2721862 2761980 2790308 2848620 2854046 2885493 2913690 2943574 3038178 3086005 3133482 3140610 3144908 3205059 3255428 3261261 3293130 3326345 3413524 3487885 3493204 3622443 3628740 3703206 3711630 3749698 3847324 3931135 3991614 4030620 4069285 4082793 4185462 4266905 4273412 4281069 4348348 4366505 4415361 4439220 4587194 4717362 4763460 4809155 4829924 4883142 4930860 5063630 5120286 5222470 5239806 5341765 5435435 5443724 5624547 5708092 5770986 5827380 5887148 6037405 6076356 6172010 6266964 6281220 6410118 6522522 6586260 6652690 6789211 6804655 6880791 6975770 7135115 7244886 7358935 7406412 7423260 7499396 7595445 7673347 7833705 7862270 7983228 8138570 8165586 8370924 8533810 8562138 8648497 8733010 8830722 9068501 9174388 9258015 9374245 9387191 9434724 9618310 9766284 9979035 10127260 10240572 10444940 10463655 10479612 10580141 10683530 10870870 11093953 11249094 11467985 11541972 11793405 11957957 12074810 12207855 12344020 12800715 12820236 13045044 13099515 13305380 13578422 13609310 13761582 13951540 14132131 14270230 14427465 14489772 14575439 14717870 15190890 15346694 15667410 15697253 15724540 16025295 16189657 16277140 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2680136902410 2683804733948 2838639622445 2848062492561 2981033922724 3096697769940 3167434521030 3199921028938 3354755917435 3406367546934 3439654526220 3484177973133 3726292403405 3797416656748 3876775265220 4025707100922 4065046258260 4381634603940 4471550884086 4645570630844 4746770820935 4799881543407 5178295441020 5360273804820 5677279244890 5696124985122 5806963288555 6334869042060 6399842057876 6709511834870 6812735093868 6968355946266 7380463018357 7452584806810 7999802572345 8051414201844 8515918867335 8943101768172 9493541641870 9599763086814 10064267752305 11178877210215 11354558489780 11392249970244 11613926577110 13419023669740 13936711892532 14240312462805 14760926036714 14905169613620 15999605144690 17031837734670 17420889865665 17599565659159 18987083283740 19199526173628 20128535504610 20799486688097 22141389055071 22357754420430 23227853154220 23999407717035 28480624925610 29521852073428 31999210289380 34063675469340 34841779731330 35199131318318 36902315091785 40257071009220 41598973376194 44282778110142 44715508840860 47998815434070 52798696977477 56961249851220 62398460064291 69683559462660 70398262636636 73804630183570 83197946752388 87997828295795 88565556220284 95997630868140 103997433440485 105597393954954 110706945275355 124796920128582 147609260367140 175995656591590 207994866880970 211194787909908 221413890550710 228794353569067 249593840257164 263993484887385 311992300321455 351991313183180 415989733761940 442827781101420 457588707138134 527986969774770 623984600642910 686383060707201 915177414276268 1055973939549540 1143971767845335 1247969201285820 1372766121414402 2287943535690670 2745532242828804 3431915303536005 4575887071381340 6863830607072010 13727661214144020
- Sum of all divisors σ(n): 47211562219143168
- Sum of proper divisors (its aliquot sum) s(n): 33483901004999148
- 13727661214144020 is an abundant number, because the sum of its proper divisors (33483901004999148) is greater than itself. Its abundance is 19756239790855128
Bases of 13727661214144020
- Binary: 1100001100010100111100001100100100010000010110000101002
- Hexadecimal: 0x30C53C32441614
- Base-36: 3R61SI16X3O
Squares and roots of 13727661214144020
- 13727661214144020 squared (137276612141440202) is 188448682410314069332101301760400
- 13727661214144020 cubed (137276612141440203) is 2586959668380612862369527357560362230605132808000
-
The
square root of 13727661214144020 is 117165102.3732921081 -
The
cube root of 13727661214144020 is 239441.1837396265
Scales and comparisons
How big is 13727661214144020?- 13,727,661,214,144,020 seconds is equal to 436,497,164 years, 8 weeks, 4 days, 7 hours, 7 minutes.
-
To count from 1 to 13,727,661,214,144,020 would take you about one billion, three hundred nine million, four hundred ninety-one thousand, four hundred ninety-two 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 13727661214144020 cubic inches would be around 19953.4 feet tall.
Recreational maths with 13727661214144020
- 13727661214144020 backwards is 02044141216672731
- The number of decimal digits it has is: 17
- The sum of 13727661214144020's digits is 51
- More coming soon!
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"Number 13727661214144020 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 13727661214144020 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/13727661214144020/
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The information we have on file for 13727661214144020 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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