4006961473680
4,006,961,473,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 4006961473680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
4006961473680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 4006961473680:
24 × 32 × 5 × 112 × 473 × 443
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 47 × 47 × 47 × 443)See below for interesting mathematical facts about the number 4006961473680 from the Numbermatics database.
Names of 4006961473680
- Cardinal: 4006961473680 can be written as Four trillion, six billion, nine hundred sixty-one million, four hundred seventy-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.00696147368 × 1012
Factors of 4006961473680
Divisors of 4006961473680
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 47 48 55 60 66 72 80 88 90 94 99 110 120 121 132 141 144 165 176 180 188 198 220 235 240 242 264 282 330 360 363 376 396 423 440 443 470 484 495 517 528 564 605 660 705 720 726 752 792 846 880 886 940 968 990 1034 1089 1128 1210 1320 1329 1410 1452 1551 1584 1692 1772 1815 1880 1936 1980 2068 2115 2178 2209 2215 2256 2420 2585 2640 2658 2820 2904 3102 3384 3544 3630 3760 3960 3987 4136 4230 4356 4418 4430 4653 4840 4873 5170 5316 5445 5640 5687 5808 6204 6627 6645 6768 7088 7260 7755 7920 7974 8272 8460 8712 8836 8860 9306 9680 9746 10340 10632 10890 11045 11280 11374 12408 13254 13290 14520 14619 15510 15948 16920 17061 17424 17672 17720 18612 19492 19881 19935 20680 20821 21264 21780 22090 22748 23265 24299 24365 24816 26508 26580 28435 29040 29238 31020 31896 33135 33840 34122 35344 35440 37224 38984 39762 39870 41360 41642 43560 43857 44180 45496 46530 48598 48730 51183 53016 53160 53603 56870 58476 62040 62463 63792 66270 68244 72897 73095 74448 77968 79524 79740 83284 85305 87120 87714 88360 90992 93060 97196 97460 99405 102366 103823 104105 106032 106320 107206 113740 116952 121495 124080 124926 132540 136488 145794 146190 159048 159480 160809 166568 170610 175428 176720 186120 187389 194392 194920 198810 204732 207646 208210 214412 218691 219285 227480 229031 233904 242990 249852 255915 265080 267289 268015 272976 291588 292380 311469 312315 318096 318960 321618 333136 341220 350856 364485 372240 374778 388784 389840 397620 409464 415292 416420 428824 437382 438570 454960 458062 482427 485980 499704 511830 519115 530160 534578 536030 583176 584760 622938 624630 643236 682440 687093 701712 728970 749556 795240 801867 804045 818928 830584 832840 857648 874764 877140 916124 934407 936945 964854 971960 978587 999408 1023660 1038230 1069156 1072060 1093455 1142053 1145155 1166352 1169520 1245876 1249260 1286472 1336445 1364880 1374186 1457940 1499112 1557345 1590480 1603734 1608090 1661168 1665680 1749528 1754280 1832248 1868814 1873890 1929708 1943920 1957174 2047320 2061279 2076460 2138312 2144120 2186910 2284106 2290310 2405601 2412135 2491752 2498520 2519341 2572944 2672890 2748372 2915880 2935761 2998224 3114690 3207468 3216180 3426159 3435465 3499056 3508560 3664496 3737628 3747780 3859416 3914348 4009335 4094640 4122558 4152920 4276624 4288240 4373820 4568212 4580620 4672035 4811202 4824270 4892935 4983504 4997040 5038682 5345780 5496744 5710265 5831760 5871522 6229380 6414936 6432360 6852318 6870930 7475256 7495560 7558023 7718832 7828696 8018670 8245116 8305840 8747640 8807283 9136424 9161240 9344070 9622404 9648540 9785870 10077364 10278477 10306395 10691560 10764457 10993488 11420530 11743044 12028005 12458760 12562583 12596705 12829872 12864720 13704636 13741860 14678805 14950512 14991120 15116046 15657392 16037340 16490232 17130795 17495280 17614566 18272848 18322480 18688140 19244808 19297080 19571740 20154728 20556954 20612790 21383120 21528914 22674069 22841060 23486088 24056010 24917520 25125166 25193410 27409272 27483720 29357610 30232092 32074680 32293371 32980464 34261590 35229132 37376280 37687749 37790115 38489616 38594160 39143480 40309456 41113908 41225580 43057828 44036415 45348138 45682120 45993589 46972176 48112020 50250332 50386820 51392385 53822285 54818544 54967440 58715220 60464184 62812915 64149360 64586742 68523180 70458264 74752560 75375498 75580230 78286960 82227816 82451160 86115656 88072830 90696276 91364240 91987178 96224040 96880113 100500664 100773640 102784770 107644570 113063247 113370345 117430440 118409027 120928368 125625830 129173484 137046360 137980767 140916528 150750996 151160460 161466855 164455632 164902320 172231312 176145660 181392552 183974356 188438745 192448080 193760226 201001328 201547280 205569540 215289140 226126494 226740690 229967945 234860880 236818054 251251660 258346968 274092720 275961534 301501992 302320920 322933710 352291320 355227081 362785104 367948712 376877490 387520452 411139080 413942301 430578280 452252988 453481380 459935890 473636108 484400565 502503320 505929479 516693936 551923068 565316235 592045135 603003984 604641840 645867420 689903835 704582640 710454162 735897424 753754980 775040904 822278160 827884602 861156560 904505976 906962760 919871780 947272216 968801130 1005006640 1011858958 1065681243 1103846136 1130632470 1184090270 1291734840 1379807670 1420908324 1507509960 1517788437 1550081808 1655769204 1776135405 1809011952 1813925520 1839743560 1894544432 1937602260 2023717916 2069711505 2131362486 2207692272 2261264940 2368180540 2529647395 2583469680 2759615340 2841816648 3015019920 3035576874 3311538408 3552270810 3679487120 3875204520 4047435832 4139423010 4262724972 4522529880 4553365311 4736361080 5059294790 5328406215 5519230680 5565224269 5683633296 6071153748 6623076816 7104541620 7588942185 7750409040 8094871664 8278846020 8525449944 9045059760 9106730622 9472722160 10118589580 10656812430 11038461360 11130448538 12142307496 14209083240 15177884370 16557692040 16695672807 17050899888 18213461244 20237179160 21313624860 22260897076 22766826555 24284614992 27826121345 28418166480 30355768740 33115384080 33391345614 36426922488 40474358320 42627249720 44521794152 45533653110 50087018421 55652242690 60711537480 66782691228 72853844976 83478364035 85254499440 89043588304 91067306220 100174036842 111304485380 121423074960 133565382456 166956728070 182134612440 200348073684 222608970760 250435092105 267130764912 333913456140 364269224880 400696147368 445217941520 500870184210 667826912280 801392294736 1001740368420 1335653824560 2003480736840 4006961473680
- Sum of all divisors σ(n): 15146923034880
- Sum of proper divisors (its aliquot sum) s(n): 11139961561200
- 4006961473680 is an abundant number, because the sum of its proper divisors (11139961561200) is greater than itself. Its abundance is 7133000087520
Bases of 4006961473680
- Binary: 1110100100111100011000001111101000100100002
- Hexadecimal: 0x3A4F183E890
- Base-36: 1F4RTEKK0
Squares and roots of 4006961473680
- 4006961473680 squared (40069614736802) is 16055740251555797332742400
- 4006961473680 cubed (40069614736803) is 64334732619397311593152900419820032000
-
The
square root of 4006961473680 is 2001739.6118576461 -
The
cube root of 4006961473680 is 15883.2140580983
Scales and comparisons
How big is 4006961473680?- 4,006,961,473,680 seconds is equal to 127,408 years, 50 weeks, 6 days, 21 hours, 48 minutes.
-
To count from 1 to 4,006,961,473,680 would take you about three hundred eighteen thousand, five hundred twenty-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 4006961473680 cubic inches would be around 1323.6 feet tall.
Recreational maths with 4006961473680
- 4006961473680 backwards is 0863741696004
- The number of decimal digits it has is: 13
- The sum of 4006961473680's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 4006961473680 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 4006961473680 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/4006961473680/
Chicago style:
Numbermatics. 2024. "Number 4006961473680 - Facts about the integer". https://numbermatics.com/n/4006961473680/
The information we have on file for 4006961473680 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 4006961473680, math, Factors of 4006961473680, curriculum, school, college, exams, university, Prime factorization of 4006961473680, STEM, science, technology, engineering, physics, economics, calculator, four trillion, six billion, nine hundred sixty-one million, four hundred seventy-three thousand, six hundred eighty.