13006524136320
13,006,524,136,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13006524136320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
13006524136320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13006524136320:
27 × 33 × 5 × 11 × 132 × 31 × 37 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 31 × 37 × 353)See below for interesting mathematical facts about the number 13006524136320 from the Numbermatics database.
Names of 13006524136320
- Cardinal: 13006524136320 can be written as Thirteen trillion, six billion, five hundred twenty-four million, one hundred thirty-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.300652413632 × 1013
Factors of 13006524136320
Divisors of 13006524136320
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 31 32 33 36 37 39 40 44 45 48 52 54 55 60 62 64 65 66 72 74 78 80 88 90 93 96 99 104 108 110 111 117 120 124 128 130 132 135 143 144 148 155 156 160 165 169 176 180 185 186 192 195 198 208 216 220 222 234 240 248 260 264 270 279 286 288 296 297 310 312 320 330 333 338 341 351 352 353 360 370 372 384 390 396 403 407 416 429 432 440 444 465 468 480 481 495 496 507 520 528 540 555 558 572 576 585 592 594 620 624 640 660 666 676 682 702 704 706 715 720 740 744 780 792 806 814 832 837 845 858 864 880 888 930 936 960 962 990 992 999 1014 1023 1040 1056 1059 1080 1110 1116 1144 1147 1152 1170 1184 1188 1209 1221 1240 1248 1287 1320 1332 1352 1364 1395 1404 1408 1412 1430 1440 1443 1480 1485 1488 1521 1560 1584 1612 1628 1664 1665 1674 1690 1705 1716 1728 1755 1760 1765 1776 1859 1860 1872 1920 1924 1980 1984 1998 2015 2028 2035 2046 2080 2112 2118 2145 2160 2220 2232 2288 2294 2340 2368 2376 2405 2418 2442 2480 2496 2535 2574 2640 2664 2704 2728 2790 2808 2824 2860 2880 2886 2960 2970 2976 3042 3069 3120 3168 3177 3224 3256 3330 3348 3380 3410 3432 3441 3456 3510 3520 3530 3552 3627 3663 3718 3720 3744 3848 3861 3883 3960 3968 3996 4030 4056 4070 4092 4160 4185 4224 4236 4290 4320 4329 4433 4440 4464 4563 4576 4588 4589 4680 4736 4752 4810 4836 4884 4960 4992 4995 5070 5115 5148 5239 5280 5291 5295 5328 5408 5456 5577 5580 5616 5648 5720 5735 5760 5772 5920 5940 5952 6045 6084 6105 6138 6240 6253 6336 6354 6435 6448 6512 6660 6696 6760 6820 6864 6882 7020 7040 7060 7104 7215 7254 7326 7436 7440 7488 7605 7696 7722 7766 7920 7992 8060 8112 8140 8184 8320 8370 8472 8580 8640 8658 8866 8880 8928 9126 9152 9176 9178 9207 9295 9360 9504 9531 9620 9672 9768 9920 9990 10140 10230 10296 10323 10478 10560 10582 10590 10656 10816 10881 10912 10943 10989 11154 11160 11232 11296 11440 11470 11544 11649 11840 11880 11904 12090 12168 12210 12276 12480 12506 12617 12672 12708 12870 12896 12987 13024 13061 13299 13320 13392 13520 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96344623232 98534273760 100050185664 101613469815 104891323680 108387701136 111166872960 117175893120 118241128512 120430779040 125062732080 131379031680 135484626420 139855098240 144516934848 147801410640 162581551704 166750309440 175763839680 180646168560 197068547520 200100371328 203226939630 209782647360 216775402272 236482257024 240861558080 250125464160 270969252840 289033869696 295602821280 325163103408 333500618880 351527679360 361292337120 394137095040 406453879260 419565294720 433550804544 481723116160 500250928320 541938505680 591205642560 650326206816 722584674240 812907758520 867101609088 1000501856640 1083877011360 1182411285120 1300652413632 1445169348480 1625815517040 2167754022720 2601304827264 3251631034080 4335508045440 6503262068160 13006524136320
- Sum of all divisors σ(n): 57852295372800
- Sum of proper divisors (its aliquot sum) s(n): 44845771236480
- 13006524136320 is an abundant number, because the sum of its proper divisors (44845771236480) is greater than itself. Its abundance is 31839247100160
Bases of 13006524136320
- Binary: 101111010100010100010100000000111011100000002
- Hexadecimal: 0xBD451403B80
- Base-36: 4LZ44NHC0
Squares and roots of 13006524136320
- 13006524136320 squared (130065241363202) is 169169670108674721943142400
- 13006524136320 cubed (130065241363203) is 2200309397401769808361346356306771968000
-
The
square root of 13006524136320 is 3606455.8969048825 -
The
cube root of 13006524136320 is 23517.2796624693
Scales and comparisons
How big is 13006524136320?- 13,006,524,136,320 seconds is equal to 413,567 years, 12 weeks, 1 day, 19 hours, 12 minutes.
-
To count from 1 to 13,006,524,136,320 would take you about one million, thirty-three thousand, nine hundred eighteen 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 13006524136320 cubic inches would be around 1959.8 feet tall.
Recreational maths with 13006524136320
- 13006524136320 backwards is 02363142560031
- 13006524136320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13006524136320's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 13006524136320 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13006524136320 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13006524136320/
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The information we have on file for 13006524136320 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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