13188327807428900
13,188,327,807,428,900 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13188327807428900 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 576 divisors.
13188327807428900 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13188327807428900:
22 × 52 × 7 × 29 × 31 × 73 × 1093 × 262657
(2 × 2 × 5 × 5 × 7 × 29 × 31 × 73 × 1093 × 262657)See below for interesting mathematical facts about the number 13188327807428900 from the Numbermatics database.
Names of 13188327807428900
- Cardinal: 13188327807428900 can be written as Thirteen quadrillion, one hundred eighty-eight trillion, three hundred twenty-seven billion, eight hundred seven million, four hundred twenty-eight thousand, nine hundred.
Scientific notation
- Scientific notation: 1.31883278074289 × 1016
Factors of 13188327807428900
Divisors of 13188327807428900
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 7 10 14 20 25 28 29 31 35 50 58 62 70 73 100 116 124 140 145 146 155 175 203 217 290 292 310 350 365 406 434 511 580 620 700 725 730 775 812 868 899 1015 1022 1085 1093 1450 1460 1550 1798 1825 2030 2044 2117 2170 2186 2263 2555 2900 3100 3596 3650 4060 4234 4340 4372 4495 4526 5075 5110 5425 5465 6293 7300 7651 8468 8990 9052 10150 10220 10585 10850 10930 11315 12586 12775 14819 15302 15841 17980 20300 21170 21700 21860 22475 22630 25172 25550 27325 29638 30604 31465 31682 31697 33883 38255 42340 44950 45260 51100 52925 54650 56575 59276 62930 63364 63394 65627 67766 74095 76510 79205 79789 89900 105850 109300 113150 125860 126788 131254 135532 148190 153020 157325 158410 158485 159578 169415 191275 211700 221879 226300 237181 262508 262657 296380 314650 316820 316970 319156 328135 338830 370475 382550 396025 398945 443758 459389 474362 525314 558523 629300 633940 656270 677660 740950 765100 792050 792425 797890 847075 887516 918778 948724 982607 1050628 1109395 1117046 1185905 1312540 1313285 1481900 1584100 1584850 1595780 1640675 1694150 1837556 1838599 1965214 1994725 2218790 2234092 2296945 2313881 2371810 2473459 2626570 2792615 3169700 3281350 3388300 3677198 3930428 3989450 4437580 4593890 4627762 4743620 4913035 4946918 5253140 5546975 5585230 5929525 6562700 6566425 6878249 7354396 7617053 7978900 8142367 9187780 9192995 9255524 9826070 9893836 11093950 11170460 11484725 11569405 11859050 12367295 13132850 13756498 13963075 15234106 16197167 16284734 17314213 18385990 19173961 19652140 22187900 22969450 23138810 23718100 24565175 24734590 26265700 27512996 27926150 30468212 32394334 32569468 34391245 34628426 36771980 38085265 38347922 40711835 45938900 45964975 46277620 49130350 49469180 53319371 55852300 56996569 57847025 61836475 64788668 68782490 69256852 71730311 76170530 76695844 80985835 81423670 86571065 91929950 95869805 98260700 106638742 113993138 115694050 123672950 134217727 137564980 143460622 152341060 161971670 162847340 171956225 173142130 183859900 190426325 191739610 203559175 213277484 227986276 231388100 236128643 247345900 266596855 268435454 284982845 286921244 287084101 323943340 343912450 346284260 358651555 380852650 383479220 404929175 407118350 432855325 472257286 479349025 502112177 533193710 536870908 556044869 569965690 574168202 594392791 671088635 687824900 717303110 761705300 809858350 814236700 865710650 944514572 958698050 1004224354 1066387420 1112089738 1139931380 1148336404 1180643215 1188785582 1332984275 1342177270 1424914225 1434606220 1435420505 1619716700 1652900501 1731421300 1793257775 1917396100 2008448708 2009588707 2224179476 2361286430 2377571164 2510560885 2665968550 2684354540 2780224345 2849828450 2870841010 2971963955 3305801002 3355443175 3586515550 3892314083 4019177414 4160749537 4722572860 5021121770 5331937100 5560448690 5699656900 5741682020 5903216075 5943927910 6611602004 6710886350 7173031100 7177102525 7784628166 8038354828 8264502505 8321499074 8325438929 8899607131 10042243540 10047943535 11120897380 11806432150 11887855820 12552804425 13421772700 13901121725 14354205050 14859819775 15569256332 16529005010 16642998148 16650877858 17237390939 17799214262 19461570415 20095887070 20803747685 20957139373 23612864300 25105608850 27802243450 28708410100 29719639550 33058010020 33301755716 34474781878 35598428524 38923140830 40191774140 41322512525 41607495370 41627194645 41914278746 44498035655 50211217700 50239717675 55604486900 58278072503 59439279100 62297249917 68949563756 77846281660 82645025050 83214990740 83254389290 83828557492 86186954695 88996071310 97307852075 100479435350 104018738425 104785696865 116556145006 120661736573 124594499834 146699975611 165290050100 166508778580 172373909390 177992142620 194615704150 200958870700 208037476850 208135973225 209571393730 222490178275 233112290012 241323473146 249188999668 258088606799 291390362515 293399951222 311486249585 344747818780 389231408300 416074953700 416271946450 419142787460 430934773475 444980356550 482646946292 516177213598 523928484325 582780725030 586799902444 603308682865 607757041817 622972499170 649671320563 733499878055 832543892900 861869546950 889960713100 1032354427196 1047856968650 1165561450060 1206617365730 1215514083634 1245944998340 1290443033995 1299342641126 1456951812575 1466999756110 1557431247925 1723739093900 1806620247593 2095713937300 2413234731460 2431028167268 2580886067990 2598685282252 2913903625150 2933999512220 3016543414325 3038785209085 3114862495850 3248356602815 3613240495186 3667499390275 4254299292719 4547699243941 5161772135980 5827807250300 6033086828650 6077570418170 6229724991700 6452215169975 6496713205630 7226480990372 7334998780550 8508598585438 9033101237965 9095398487882 12066173657300 12155140836340 12904430339950 12993426411260 14669997561100 15193926045425 16241783014075 17017197170876 18066202475930 18190796975764 18840468296327 21271496463595 22738496219705 25808860679900 30387852090850 32483566028150 36132404951860 37680936592654 42542992927190 45165506189825 45476992439410 60775704181700 64967132056300 75361873185308 85085985854380 90331012379650 90953984878820 94202341481635 106357482317975 113692481098525 131883278074289 180662024759300 188404682963270 212714964635950 227384962197050 263766556148578 376809365926540 425429929271900 454769924394100 471011707408175 527533112297156 659416390371445 942023414816350 1318832780742890 1884046829632700 2637665561485780 3297081951857225 6594163903714450 13188327807428900
- Sum of all divisors σ(n): 35437300280954880
- Sum of proper divisors (its aliquot sum) s(n): 22248972473525980
- 13188327807428900 is an abundant number, because the sum of its proper divisors (22248972473525980) is greater than itself. Its abundance is 9060644666097080
Bases of 13188327807428900
- Binary: 1011101101101010110110110110100010010010101001001001002
- Hexadecimal: 0x2EDAB6DA24A924
- Base-36: 3LUVE5K0CV8
Squares and roots of 13188327807428900
- 13188327807428900 squared (131883278074289002) is 173931990356202376842028555210000
- 13188327807428900 cubed (131883278074289003) is 2293872105016159072088993240391623771799569000000
-
The
square root of 13188327807428900 is 114840444.9983928789 -
The
cube root of 13188327807428900 is 236263.4698025789
Scales and comparisons
How big is 13188327807428900?- 13,188,327,807,428,900 seconds is equal to 419,348,030 years, 5 weeks, 1 day, 8 hours, 28 minutes, 20 seconds.
-
To count from 1 to 13,188,327,807,428,900 would take you about one billion, two hundred fifty-eight million, forty-four thousand and ninety 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 13188327807428900 cubic inches would be around 19688.6 feet tall.
Recreational maths with 13188327807428900
- 13188327807428900 backwards is 00982470872388131
- The number of decimal digits it has is: 17
- The sum of 13188327807428900's digits is 71
- 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 13188327807428900 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 13188327807428900 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/13188327807428900/
Chicago style:
Numbermatics. 2024. "Number 13188327807428900 - Facts about the integer". https://numbermatics.com/n/13188327807428900/
The information we have on file for 13188327807428900 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 13188327807428900, math, Factors of 13188327807428900, curriculum, school, college, exams, university, Prime factorization of 13188327807428900, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred eighty-eight trillion, three hundred twenty-seven billion, eight hundred seven million, four hundred twenty-eight thousand, nine hundred.