146139836752000
146,139,836,752,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 146139836752000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1024 divisors.
146139836752000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 146139836752000:
27 × 53 × 73 × 13 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 127 × 127 × 127)See below for interesting mathematical facts about the number 146139836752000 from the Numbermatics database.
Names of 146139836752000
- Cardinal: 146139836752000 can be written as One hundred forty-six trillion, one hundred thirty-nine billion, eight hundred thirty-six million, seven hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.46139836752 × 1014
Factors of 146139836752000
Divisors of 146139836752000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 127 128 130 140 160 175 182 196 200 208 224 245 250 254 260 280 320 325 343 350 364 392 400 416 448 455 490 500 508 520 560 635 637 640 650 686 700 728 784 800 832 875 889 896 910 980 1000 1016 1040 1120 1225 1270 1274 1300 1372 1400 1456 1568 1600 1625 1651 1664 1715 1750 1778 1820 1960 2000 2032 2080 2240 2275 2450 2540 2548 2600 2744 2800 2912 3136 3175 3185 3200 3250 3302 3430 3500 3556 3640 3920 4000 4064 4160 4445 4459 4480 4550 4900 5080 5096 5200 5488 5600 5824 6125 6223 6272 6350 6370 6500 6604 6860 7000 7112 7280 7840 8000 8128 8255 8320 8575 8890 8918 9100 9800 10160 10192 10400 10976 11200 11375 11557 11648 12250 12446 12700 12740 13000 13208 13720 14000 14224 14560 15680 15875 15925 16000 16129 16256 16510 17150 17780 17836 18200 19600 20320 20384 20800 21952 22225 22295 22400 22750 23114 24500 24892 25400 25480 26000 26416 27440 28000 28448 29120 31115 31360 31750 31850 32258 33020 34300 35560 35672 36400 39200 40640 40768 41275 41600 42875 43561 43904 44450 44590 45500 46228 49000 49784 50800 50960 52000 52832 54880 56000 56896 57785 58240 62230 63500 63700 64516 66040 68600 71120 71344 72800 78400 79625 80645 80899 81280 81536 82550 85750 87122 88900 89180 91000 92456 98000 99568 101600 101920 104000 105664 109760 111125 111475 112000 112903 113792 115570 124460 127000 127400 129032 132080 137200 142240 142688 145600 155575 156800 159250 161290 161798 165100 171500 174244 177800 178360 182000 184912 196000 199136 203200 203840 206375 208000 209677 211328 217805 219520 222250 222950 225806 231140 248920 254000 254800 258064 264160 274400 284480 285376 288925 291200 311150 318500 322580 323596 330200 343000 348488 355600 356720 364000 369824 392000 398272 403225 404495 406400 407680 412750 419354 435610 444500 445900 451612 462280 497840 508000 509600 516128 528320 548800 557375 564515 566293 568960 570752 577850 622300 637000 645160 647192 660400 686000 696976 711200 713440 728000 739648 777875 784000 790321 796544 806450 808990 825500 838708 871220 889000 891800 903224 924560 995680 1016000 1019200 1032256 1048385 1056640 1089025 1097600 1114750 1129030 1132586 1155700 1244600 1274000 1290320 1294384 1320800 1372000 1393952 1422400 1426880 1444625 1456000 1467739 1479296 1555750 1580642 1612900 1617980 1651000 1677416 1742440 1778000 1783600 1806448 1849120 1991360 2016125 2022475 2032000 2038400 2048383 2064512 2096770 2178050 2229500 2258060 2265172 2311400 2489200 2548000 2580640 2588768 2641600 2744000 2787904 2822575 2831465 2844800 2853760 2889250 2935478 3111500 3161284 3225800 3235960 3302000 3354832 3484880 3556000 3567200 3612896 3698240 3951605 3982720 4032250 4044950 4096766 4193540 4356100 4459000 4516120 4530344 4622800 4978400 5096000 5161280 5177536 5241925 5283200 5445125 5488000 5532247 5575808 5645150 5662930 5778500 5870956 6223000 6322568 6451600 6471920 6604000 6709664 6969760 7112000 7134400 7225792 7338695 7396480 7903210 8064500 8089900 8193532 8387080 8712200 8918000 9032240 9060688 9245600 9956800 10112375 10192000 10241915 10274173 10322560 10355072 10483850 10890250 11064494 11290300 11325860 11557000 11741912 12446000 12645136 12903200 12943840 13208000 13419328 13939520 14112875 14157325 14224000 14268800 14338681 14451584 14677390 15806420 16129000 16179800 16387064 16774160 17424400 17836000 18064480 18121376 18491200 19758025 19913600 20224750 20483830 20548346 20967700 21780500 22128988 22580600 22651720 23114000 23483824 24892000 25290272 25806400 25887680 26209625 26416000 26628979 26838656 27661235 27879040 28225750 28314650 28677362 29354780 31612840 32258000 32359600 32774128 33548320 34848800 35672000 36128960 36242752 36693475 36982400 39516050 40449500 40967660 41096692 41935400 43561000 44257976 45161200 45303440 46228000 46967648 49784000 50580544 51209575 51370865 51612800 51775360 52419250 53257958 55322470 56451500 56629300 57354724 58709560 63225680 64516000 64719200 65548256 67096640 69697600 70786625 71344000 71693405 71919211 72257920 72485504 73386950 79032100 80899000 81935320 82193384 83870800 87122000 88515952 90322400 90606880 92456000 93935296 98790125 99568000 100370767 101161088 102419150 102741730 104838500 106515916 110644940 112903000 113258600 114709448 117419120 126451360 129032000 129438400 131096512 133144895 134193280 138306175 139395200 141573250 143386810 143838422 146773900 158064200 161798000 163870640 164386768 167741600 174244000 177031904 180644800 181213760 183467375 184912000 186402853 187870592 197580250 200741534 204838300 205483460 209677000 213031832 221289880 225806000 226517200 229418896 234838240 252902720 256047875 256854325 258064000 258876800 262193024 266289790 276612350 283146500 286773620 287676844 293547800 316128400 323596000 327741280 328773536 335483200 348488000 354063808 358467025 359596055 361289600 362427520 366934750 372805706 395160500 401483068 409676600 410966920 419354000 426063664 442579760 451612000 453034400 458837792 469676480 501853835 505805440 512095750 513708650 532579580 553224700 566293000 573547240 575353688 587095600 632256800 647192000 655482560 657547072 665724475 670966400 691530875 696976000 702595369 708127616 716934050 719192110 733869500 745611412 790321000 802966136 819353200 821933840 838708000 852127328 885159520 903224000 906068800 917675584 932014265 939352960 1003707670 1024191500 1027417300 1065159160 1106449400 1132586000 1147094480 1150707376 1174191200 1264513600 1284271625 1294384000 1304819971 1310965120 1315094144 1331448950 1383061750 1405190738 1433868100 1438384220 1467739000 1491222824 1580642000 1605932272 1638706400 1643867680 1677416000 1704254656 1770319040 1792335125 1797980275 1806448000 1812137600 1835351168 1864028530 2007415340 2048383000 2054834600 2130318320 2212898800 2265172000 2294188960 2301414752 2348382400 2509269175 2529027200 2568543250 2609639942 2662897900 2766123500 2810381476 2867736200 2876768440 2935478000 2982445648 3161284000 3211864544 3277412800 3287735360 3328622375 3354832000 3408509312 3512976845 3540638080 3584670250 3595960550 3728057060 4014830680 4096766000 4109669200 4260636640 4425797600 4530344000 4588377920 4602829504 4660071325 4696764800 5018538350 5137086500 5219279884 5325795800 5532247000 5620762952 5735472400 5753536880 5870956000 5964891296 6322568000 6423729088 6524099855 6554825600 6575470720 6657244750 7025953690 7169340500 7191921100 7456114120 8029661360 8193532000 8219338400 8521273280 8851595200 8989901375 9060688000 9133739797 9176755840 9205659008 9320142650 10037076700 10274173000 10438559768 10651591600 11064494000 11241525904 11470944800 11507073760 11741912000 11929782592 12546345875 12645136000 12847458176 13048199710 13314489500 14051907380 14338681000 14383842200 14912228240 16059322720 16387064000 16438676800 17042546560 17564884225 17703190400 17979802750 18267479594 18640285300 20074153400 20548346000 20877119536 21303183200 22128988000 22483051808 22941889600 23014147520 23300356625 23483824000 23859565184 25092691750 26096399420 26628979000 28103814760 28677362000 28767684400 29824456480 32118645440 32620499275 32774128000 32877353600 35129768450 35959605500 36534959188 37280570600 40148306800 41096692000 41754239072 42606366400 44257976000 44966103616 45668698985 45883779200 46028295040 46600713250 50185383500 52192798840 53257958000 56207629520 57354724000 57535368800 59648912960 64237290880 65240998550 70259536900 71919211000 73069918376 74561141200 80296613600 82193384000 83508478144 85212732800 87824421125 88515952000 89932207232 91337397970 93201426500 100370767000 104385597680 106515916000 112415259040 114709448000 115070737600 119297825920 130481997100 140519073800 143838422000 146139836752 149122282400 160593227200 163102496375 164386768000 167016956288 175648842250 182674795940 186402853000 200741534000 208771195360 213031832000 224830518080 228343494925 229418896000 230141475200 260963994200 281038147600 287676844000 292279673504 298244564800 321186454400 326204992750 351297684500 365349591880 372805706000 401483068000 417542390720 426063664000 449661036160 456686989850 521927988400 562076295200 575353688000 584559347008 596489129600 652409985500 702595369000 730699183760 745611412000 802966136000 835084781440 913373979700 1043855976800 1124152590400 1141717474625 1150707376000 1169118694016 1304819971000 1405190738000 1461398367520 1491222824000 1605932272000 1826747959400 2087711953600 2248305180800 2283434949250 2609639942000 2810381476000 2922796735040 2982445648000 3653495918800 4175423907200 4566869898500 5219279884000 5620762952000 5845593470080 7306991837600 9133739797000 10438559768000 11241525904000 14613983675200 18267479594000 20877119536000 29227967350400 36534959188000 73069918376000 146139836752000
- Sum of all divisors σ(n): 459935723520000
- Sum of proper divisors (its aliquot sum) s(n): 313795886768000
- 146139836752000 is an abundant number, because the sum of its proper divisors (313795886768000) is greater than itself. Its abundance is 167656050016000
Bases of 146139836752000
- Binary: 1000010011101001110101010000111010100000100000002
- Hexadecimal: 0x84E9D50EA080
- Base-36: 1FSVPPL01S
Squares and roots of 146139836752000
- 146139836752000 squared (1461398367520002) is 21356851885901209909504000000
- 146139836752000 cubed (1461398367520003) is 3121086848142246146574199253291008000000000
-
The
square root of 146139836752000 is 12088831.0746738455 -
The
cube root of 146139836752000 is 52673.1800962831
Scales and comparisons
How big is 146139836752000?- 146,139,836,752,000 seconds is equal to 4,646,794 years, 39 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 146,139,836,752,000 would take you about eleven million, six hundred sixteen thousand, nine hundred eighty-six 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 146139836752000 cubic inches would be around 4389.4 feet tall.
Recreational maths with 146139836752000
- 146139836752000 backwards is 000257638931641
- The number of decimal digits it has is: 15
- The sum of 146139836752000's digits is 55
- 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 146139836752000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 146139836752000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/146139836752000/
Chicago style:
Numbermatics. 2024. "Number 146139836752000 - Facts about the integer". https://numbermatics.com/n/146139836752000/
The information we have on file for 146139836752000 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 146139836752000, math, Factors of 146139836752000, curriculum, school, college, exams, university, Prime factorization of 146139836752000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six trillion, one hundred thirty-nine billion, eight hundred thirty-six million, seven hundred fifty-two thousand.