131415008400
131,415,008,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 131415008400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 540 divisors.
131415008400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 131415008400:
24 × 32 × 52 × 132 × 61 × 3541
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 61 × 3541)See below for interesting mathematical facts about the number 131415008400 from the Numbermatics database.
Names of 131415008400
- Cardinal: 131415008400 can be written as One hundred thirty-one billion, four hundred fifteen million, eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.314150084 × 1011
Factors of 131415008400
Divisors of 131415008400
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 39 40 45 48 50 52 60 61 65 72 75 78 80 90 100 104 117 120 122 130 144 150 156 169 180 183 195 200 208 225 234 240 244 260 300 305 312 325 338 360 366 390 400 450 468 488 507 520 549 585 600 610 624 650 676 720 732 780 793 845 900 915 936 975 976 1014 1040 1098 1170 1200 1220 1300 1352 1464 1521 1525 1560 1586 1690 1800 1830 1872 1950 2028 2196 2340 2379 2440 2535 2600 2704 2745 2925 2928 3042 3050 3120 3172 3380 3541 3600 3660 3900 3965 4056 4225 4392 4575 4680 4758 4880 5070 5200 5490 5850 6084 6100 6344 6760 7082 7137 7320 7605 7800 7930 8112 8450 8784 9150 9360 9516 10140 10309 10623 10980 11700 11895 12168 12200 12675 12688 13520 13725 14164 14274 14640 15210 15600 15860 16900 17705 18300 19032 19825 20280 20618 21246 21960 23400 23790 24336 24400 25350 27450 28328 28548 30420 30927 31720 31869 33800 35410 35685 36600 38025 38064 39650 40560 41236 42492 43920 46033 46800 47580 50700 51545 53115 54900 56656 57096 59475 60840 61854 63440 63738 67600 70820 71370 73200 76050 79300 82472 84984 88525 92066 92781 95160 101400 103090 106230 109800 114192 118950 121680 123708 127476 138099 141640 142740 152100 154635 158600 159345 164944 169968 177050 178425 184132 185562 190320 202800 206180 212460 216001 219600 230165 237900 247416 254952 257725 265575 276198 283280 285480 304200 309270 317200 318690 354100 356850 368264 371124 412360 414297 424920 432002 460330 463905 475800 494832 509904 515450 531150 552396 570960 598429 608400 618540 637380 648003 690495 708200 713700 736528 742248 773175 796725 824720 828594 849840 864004 920660 927810 951600 1030900 1062300 1080005 1104792 1150825 1196858 1237080 1274760 1296006 1380990 1416400 1427400 1484496 1546350 1593450 1657188 1728008 1795287 1841320 1855620 1944009 2061800 2071485 2124600 2160010 2209584 2301650 2319525 2393716 2474160 2549520 2592012 2761980 2808013 2854800 2992145 3092700 3186900 3240015 3314376 3452475 3456016 3590574 3682640 3711240 3888018 4123600 4142970 4249200 4320020 4603300 4639050 4787432 5184024 5385861 5400025 5523960 5616026 5984290 6185400 6373800 6480030 6628752 6904950 7181148 7422480 7776036 8285940 8424039 8640040 8976435 9206600 9278100 9574864 9720045 10357425 10368048 10771722 10800050 11047920 11232052 11968580 12370800 12747600 12960060 13809900 14040065 14362296 14960725 15552072 16200075 16571880 16848078 17280080 17952870 18413200 18556200 19440090 20714850 21543444 21600100 22464104 23937160 25272117 25920120 26929305 27619800 28080130 28724592 29921450 31104144 32400150 33143760 33696156 35905740 36504169 37112400 38880180 41429700 42120195 43086888 43200200 44882175 44928208 47874320 48600225 50544234 51840240 53858610 55239600 56160260 59842900 64800300 67392312 70200325 71811480 73008338 77760360 82859400 84240390 86173776 86400400 89764350 97200450 101088468 107717220 109512507 112320520 119685800 126360585 129600600 134646525 134784624 140400650 143622960 146016676 155520720 165718800 168480780 179528700 182520845 194400900 202176936 210600975 215434440 219025014 224641040 239371600 252721170 259201200 269293050 280801300 292033352 328537521 336961560 359057400 365041690 388801800 404353872 421201950 430868880 438050028 505442340 538586100 547562535 561602600 584066704 631802925 657075042 673923120 718114800 730083380 777603600 842403900 876100056 912604225 1010884680 1077172200 1095125070 1123205200 1263605850 1314150084 1460166760 1642687605 1684807800 1752200112 1825208450 2021769360 2154344400 2190250140 2527211700 2628300168 2737812675 2920333520 3285375210 3369615600 3650416900 4380500280 5054423400 5256600336 5475625350 6570750420 7300833800 8213438025 8761000560 10108846800 10951250700 13141500840 14601667600 16426876050 21902501400 26283001680 32853752100 43805002800 65707504200 131415008400
- Sum of all divisors σ(n): 502062837276
- Sum of proper divisors (its aliquot sum) s(n): 370647828876
- 131415008400 is an abundant number, because the sum of its proper divisors (370647828876) is greater than itself. Its abundance is 239232820476
Bases of 131415008400
- Binary: 11110100110001111000111100100100100002
- Hexadecimal: 0x1E98F1E490
- Base-36: 1ODD3PG0
Squares and roots of 131415008400
- 131415008400 squared (1314150084002) is 17269904432772070560000
- 131415008400 cubed (1314150084003) is 2269524636099938887927792704000000
-
The
square root of 131415008400 is 362512.0803504347 -
The
cube root of 131415008400 is 5084.1105929879
Scales and comparisons
How big is 131415008400?- 131,415,008,400 seconds is equal to 4,178 years, 30 weeks, 5 days, 1 hour.
-
To count from 1 to 131,415,008,400 would take you about eight thousand, three hundred fifty-seven 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 131415008400 cubic inches would be around 423.7 feet tall.
Recreational maths with 131415008400
- 131415008400 backwards is 004800514131
- The number of decimal digits it has is: 12
- The sum of 131415008400's digits is 27
- 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 131415008400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 131415008400 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/131415008400/
Chicago style:
Numbermatics. 2024. "Number 131415008400 - Facts about the integer". https://numbermatics.com/n/131415008400/
The information we have on file for 131415008400 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 131415008400, math, Factors of 131415008400, curriculum, school, college, exams, university, Prime factorization of 131415008400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one billion, four hundred fifteen million, eight thousand, four hundred.