513129603072000
513,129,603,072,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 513129603072000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 816 divisors.
513129603072000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 513129603072000:
216 × 3 × 53 × 532 × 7433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 53 × 53 × 7433)See below for interesting mathematical facts about the number 513129603072000 from the Numbermatics database.
Names of 513129603072000
- Cardinal: 513129603072000 can be written as Five hundred thirteen trillion, one hundred twenty-nine billion, six hundred three million, seventy-two thousand.
Scientific notation
- Scientific notation: 5.13129603072 × 1014
Factors of 513129603072000
Divisors of 513129603072000
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 120 125 128 150 159 160 192 200 212 240 250 256 265 300 318 320 375 384 400 424 480 500 512 530 600 636 640 750 768 795 800 848 960 1000 1024 1060 1200 1272 1280 1325 1500 1536 1590 1600 1696 1920 2000 2048 2120 2400 2544 2560 2650 2809 3000 3072 3180 3200 3392 3840 3975 4000 4096 4240 4800 5088 5120 5300 5618 6000 6144 6360 6400 6625 6784 7433 7680 7950 8000 8192 8427 8480 9600 10176 10240 10600 11236 12000 12288 12720 12800 13250 13568 14045 14866 15360 15900 16000 16384 16854 16960 19200 19875 20352 20480 21200 22299 22472 24000 24576 25440 25600 26500 27136 28090 29732 30720 31800 32000 32768 33708 33920 37165 38400 39750 40704 40960 42135 42400 44598 44944 48000 49152 50880 51200 53000 54272 56180 59464 61440 63600 64000 65536 67416 67840 70225 74330 76800 79500 81408 81920 84270 84800 89196 89888 96000 98304 101760 102400 106000 108544 111495 112360 118928 122880 127200 128000 134832 135680 140450 148660 153600 159000 162816 163840 168540 169600 178392 179776 185825 192000 196608 203520 204800 210675 212000 217088 222990 224720 237856 245760 254400 256000 269664 271360 280900 297320 307200 318000 325632 327680 337080 339200 351125 356784 359552 371650 384000 393949 407040 409600 421350 424000 434176 445980 449440 475712 491520 508800 512000 539328 542720 557475 561800 594640 614400 636000 651264 674160 678400 702250 713568 719104 743300 768000 787898 814080 819200 842700 848000 868352 891960 898880 929125 951424 983040 1017600 1024000 1053375 1078656 1085440 1114950 1123600 1181847 1189280 1228800 1272000 1302528 1348320 1356800 1404500 1427136 1438208 1486600 1536000 1575796 1628160 1638400 1685400 1696000 1736704 1783920 1797760 1858250 1902848 1969745 2035200 2048000 2106750 2157312 2170880 2229900 2247200 2363694 2378560 2457600 2544000 2605056 2696640 2713600 2787375 2809000 2854272 2876416 2973200 3072000 3151592 3256320 3370800 3392000 3473408 3567840 3595520 3716500 3805696 3939490 4070400 4096000 4213500 4314624 4341760 4459800 4494400 4727388 4757120 4915200 5088000 5210112 5393280 5427200 5574750 5618000 5708544 5752832 5909235 5946400 6144000 6303184 6512640 6741600 6784000 7135680 7191040 7433000 7611392 7878980 8140800 8192000 8427000 8629248 8683520 8919600 8988800 9454776 9514240 9848725 10176000 10420224 10786560 10854400 11149500 11236000 11417088 11505664 11818470 11892800 12288000 12606368 13025280 13483200 13568000 14271360 14382080 14866000 15222784 15757960 16281600 16854000 17258496 17367040 17839200 17977600 18909552 19028480 19697450 20352000 20879297 21573120 21708800 22299000 22472000 22834176 23011328 23636940 23785600 24576000 25212736 26050560 26966400 27136000 28542720 28764160 29546175 29732000 30445568 31515920 32563200 33708000 34516992 35678400 35955200 37819104 38056960 39394900 40704000 41758594 43146240 43417600 44598000 44944000 45668352 46022656 47273880 47571200 49243625 50425472 52101120 53932800 54272000 57085440 57528320 59092350 59464000 60891136 62637891 63031840 65126400 67416000 69033984 71356800 71910400 75638208 76113920 78789800 81408000 83517188 86292480 86835200 89196000 89888000 91336704 92045312 94547760 95142400 98487250 100850944 104396485 107865600 108544000 114170880 115056640 118184700 118928000 121782272 125275782 126063680 130252800 134832000 138067968 142713600 143820800 147730875 151276416 152227840 157579600 162816000 167034376 172584960 178392000 179776000 182673408 184090624 189095520 190284800 196974500 201701888 208792970 215731200 217088000 228341760 230113280 236369400 237856000 243564544 250551564 252127360 260505600 269664000 276135936 285427200 287641600 295461750 302552832 304455680 313189455 315159200 325632000 334068752 345169920 356784000 359552000 365346816 378191040 380569600 393949000 403403776 417585940 431462400 434176000 456683520 460226560 472738800 475712000 487129088 501103128 504254720 521982425 539328000 552271872 570854400 575283200 590923500 605105664 608911360 626378910 630318400 651264000 668137504 690339840 713568000 719104000 730693632 756382080 761139200 787898000 806807552 835171880 862924800 913367040 920453120 945477600 951424000 1002206256 1008509440 1043964850 1078656000 1141708800 1150566400 1181847000 1210211328 1217822720 1252757820 1260636800 1302528000 1336275008 1380679680 1427136000 1438208000 1461387264 1512764160 1522278400 1565947275 1575796000 1613615104 1670343760 1725849600 1826734080 1890955200 1902848000 2004412512 2017018880 2087929700 2157312000 2283417600 2301132800 2363694000 2420422656 2435645440 2505515640 2521273600 2609912125 2672550016 2761359360 2854272000 2876416000 3025528320 3044556800 3131894550 3151592000 3227230208 3340687520 3451699200 3653468160 3781910400 3805696000 4008825024 4034037760 4175859400 4314624000 4566835200 4602265600 4727388000 4840845312 5011031280 5042547200 5219824250 5345100032 5708544000 5752832000 6051056640 6089113600 6263789100 6303184000 6454460416 6681375040 6903398400 7306936320 7563820800 7611392000 7829736375 8017650048 8068075520 8351718800 8629248000 9133670400 9454776000 9681690624 10022062560 10085094400 10439648500 10690200064 11417088000 11505664000 12102113280 12178227200 12527578200 12606368000 12908920832 13362750080 13806796800 15127641600 15222784000 15659472750 16035300096 16136151040 16703437600 17258496000 18267340800 18909552000 19363381248 20044125120 20170188800 20879297000 21380400128 22834176000 23011328000 24204226560 25055156400 25212736000 25817841664 26725500160 30255283200 30445568000 31318945500 32070600192 32272302080 33406875200 34516992000 36534681600 37819104000 38726762496 40088250240 40340377600 41758594000 42760800256 45668352000 48408453120 50110312800 50425472000 53451000320 60510566400 60891136000 62637891000 64141200384 64544604160 66813750400 69033984000 75638208000 77453524992 80176500480 80680755200 83517188000 85521600512 91336704000 96816906240 100220625600 100850944000 106902000640 121021132800 125275782000 128282400768 129089208320 133627500800 151276416000 160353000960 161361510400 167034376000 171043201024 182673408000 193633812480 200441251200 201701888000 213804001280 242042265600 250551564000 256564801536 267255001600 302552832000 320706001920 322723020800 334068752000 342086402048 387267624960 400882502400 403403776000 427608002560 484084531200 501103128000 513129603072 534510003200 605105664000 641412003840 645446041600 668137504000 684172804096 801765004800 806807552000 855216005120 968169062400 1002206256000 1026259206144 1069020006400 1210211328000 1282824007680 1336275008000 1368345608192 1603530009600 1613615104000 1710432010240 1936338124800 2004412512000 2052518412288 2138040012800 2420422656000 2565648015360 2672550016000 3207060019200 3227230208000 3420864020480 4008825024000 4105036824576 4276080025600 4840845312000 5131296030720 5345100032000 6414120038400 6841728040960 8017650048000 8552160051200 9681690624000 10262592061440 10690200064000 12828240076800 16035300096000 17104320102400 20525184122880 21380400128000 25656480153600 32070600192000 34208640204800 42760800256000 51312960307200 64141200384000 85521600512000 102625920614400 128282400768000 171043201024000 256564801536000 513129603072000
- Sum of all divisors σ(n): 1740744803292768
- Sum of proper divisors (its aliquot sum) s(n): 1227615200220768
- 513129603072000 is an abundant number, because the sum of its proper divisors (1227615200220768) is greater than itself. Its abundance is 714485597148768
Bases of 513129603072000
- Binary: 11101001010110000010010111011011100000000000000002
- Hexadecimal: 0x1D2B04BB70000
- Base-36: 51W0HH1ZPC
Squares and roots of 513129603072000
- 513129603072000 squared (5131296030720002) is 263301989548828271837184000000
- 513129603072000 cubed (5131296030720003) is 135108045385258143490505942130229248000000000
-
The
square root of 513129603072000 is 22652364.1828397241 -
The
cube root of 513129603072000 is 80058.7902790389
Scales and comparisons
How big is 513129603072000?- 513,129,603,072,000 seconds is equal to 16,315,934 years, 8 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 513,129,603,072,000 would take you about forty million, seven hundred eighty-nine thousand, eight hundred thirty-five 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 513129603072000 cubic inches would be around 6671.6 feet tall.
Recreational maths with 513129603072000
- 513129603072000 backwards is 000270306921315
- The number of decimal digits it has is: 15
- The sum of 513129603072000's digits is 39
- 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 513129603072000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 513129603072000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/513129603072000/
Chicago style:
Numbermatics. 2024. "Number 513129603072000 - Facts about the integer". https://numbermatics.com/n/513129603072000/
The information we have on file for 513129603072000 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 513129603072000, math, Factors of 513129603072000, curriculum, school, college, exams, university, Prime factorization of 513129603072000, STEM, science, technology, engineering, physics, economics, calculator, five hundred thirteen trillion, one hundred twenty-nine billion, six hundred three million, seventy-two thousand.