138502188231680
138,502,188,231,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138502188231680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
138502188231680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138502188231680:
210 × 5 × 7 × 13 × 17 × 372 × 53 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 17 × 37 × 37 × 53 × 241)See below for interesting mathematical facts about the number 138502188231680 from the Numbermatics database.
Names of 138502188231680
- Cardinal: 138502188231680 can be written as One hundred thirty-eight trillion, five hundred two billion, one hundred eighty-eight million, two hundred thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3850218823168 × 1014
Factors of 138502188231680
Divisors of 138502188231680
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 37 40 52 53 56 64 65 68 70 74 80 85 91 104 106 112 119 128 130 136 140 148 160 170 182 185 208 212 221 224 238 241 256 259 260 265 272 280 296 320 340 364 370 371 416 424 442 448 455 476 481 482 512 518 520 530 544 560 592 595 629 640 680 689 728 740 742 832 848 884 896 901 910 952 962 964 1024 1036 1040 1060 1088 1105 1120 1184 1190 1205 1258 1280 1295 1360 1369 1378 1456 1480 1484 1547 1664 1687 1696 1768 1792 1802 1820 1855 1904 1924 1928 1961 2072 2080 2120 2176 2210 2240 2368 2380 2405 2410 2516 2560 2590 2720 2738 2756 2912 2960 2968 3094 3133 3145 3328 3367 3374 3392 3445 3536 3584 3604 3640 3710 3808 3848 3856 3922 4097 4144 4160 4240 4352 4403 4420 4480 4505 4736 4760 4810 4820 4823 5032 5120 5180 5440 5476 5512 5824 5920 5936 6188 6266 6290 6307 6656 6734 6748 6784 6845 6890 7072 7168 7208 7280 7420 7616 7696 7712 7735 7844 8177 8194 8288 8320 8435 8480 8704 8806 8840 8917 8960 9010 9472 9520 9583 9620 9640 9646 9805 10064 10360 10880 10952 11024 11648 11713 11840 11872 12376 12532 12580 12614 12773 13312 13468 13496 13568 13690 13727 13780 14144 14416 14560 14840 15232 15392 15424 15470 15665 15688 16354 16388 16576 16640 16835 16870 16960 17408 17612 17680 17797 17834 17920 18020 18944 19040 19166 19240 19280 19292 19610 20128 20485 20720 21760 21904 21931 22015 22048 23273 23296 23426 23680 23744 24115 24752 25064 25160 25228 25493 25546 26936 26992 27136 27380 27454 27560 28288 28679 28832 29120 29680 30464 30784 30848 30940 31330 31376 31535 32708 32776 33152 33280 33337 33670 33740 33920 35224 35360 35594 35668 35840 36040 37888 38080 38332 38480 38560 38584 39220 40256 40885 40970 41440 43520 43808 43862 44030 44096 44585 46546 46592 46852 47360 47488 47915 48230 49504 50128 50320 50456 50986 51092 53261 53872 53984 54272 54760 54908 55120 56576 57239 57358 57664 58240 58565 59360 60928 61568 61696 61880 62419 62660 62752 63070 63865 65416 65552 66304 66560 66674 67340 67480 67840 68635 70448 70720 71188 71336 72080 72557 76160 76664 76960 77120 77168 78440 80512 81770 81940 81991 82880 87040 87616 87724 88060 88192 88985 89170 89411 93092 93184 93704 94720 94976 95830 96460 99008 100256 100640 100912 101972 102184 106522 107744 107968 109520 109655 109816 110240 113152 114478 114716 115328 115921 116365 116480 117130 118720 121856 123136 123392 123760 124579 124838 125320 125504 126140 127465 127730 130832 131104 132608 133348 134680 134960 135680 137270 140896 141440 142376 142672 143395 144160 145114 151589 152320 153328 153920 154240 154336 156880 161024 162911 163540 163880 163982 165760 166049 166685 175232 175448 176120 176384 177970 178340 178451 178822 186184 187408 189440 189952 191660 192920 198016 200512 201280 201824 203944 204368 213044 215488 215936 217141 219040 219310 219632 220480 226304 228956 229432 230656 231842 232730 232960 233359 234260 237440 246272 246784 247520 249158 249676 250640 251008 252280 254930 255460 261664 262208 265216 266305 266696 269360 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166468976240 186660631040 187165119232 190250258560 201019141120 203679688576 216409669112 220194257920 232776786944 233956399040 247325336128 254599610720 261324883456 266350361984 267378741760 270512086390 287348938240 287946337280 290970983680 304400413696 309156670160 313353367040 326656104320 332937952480 373321262080 374330238464 380500517120 407359377152 432819338224 467912798080 494650672256 509199221440 522649766912 532700723968 534757483520 541024172780 574697876480 581941967360 618313340320 626706734080 653312208640 665875904960 748660476928 761001034240 814718754304 865638676448 935825596160 989301344512 1018398442880 1065401447936 1082048345560 1163883934720 1236626680640 1306624417280 1331751809920 1522002068480 1629437508608 1731277352896 1871651192320 1978602689024 2036796885760 2130802895872 2164096691120 2473253361280 2613248834560 2663503619840 3462554705792 3743302384640 3957205378048 4073593771520 4328193382240 4946506722560 5327007239680 6925109411584 8147187543040 8656386764480 9893013445120 10654014479360 13850218823168 17312773528960 19786026890240 27700437646336 34625547057920 69251094115840 138502188231680
- Sum of all divisors σ(n): 455263511738112
- Sum of proper divisors (its aliquot sum) s(n): 316761323506432
- 138502188231680 is an abundant number, because the sum of its proper divisors (316761323506432) is greater than itself. Its abundance is 178259135274752
Bases of 138502188231680
- Binary: 111110111110111100011011011101011101100000000002
- Hexadecimal: 0x7DF78DBAEC00
- Base-36: 1D3F0YUOZK
Squares and roots of 138502188231680
- 138502188231680 squared (1385021882316802) is 19182856144963717885355622400
- 138502188231680 cubed (1385021882316803) is 2656867552611004219401681020181001797632000
-
The
square root of 138502188231680 is 11768695.2646281057 -
The
cube root of 138502188231680 is 51739.1010031963
Scales and comparisons
How big is 138502188231680?- 138,502,188,231,680 seconds is equal to 4,403,941 years, 8 weeks, 6 days, 21 minutes, 20 seconds.
-
To count from 1 to 138,502,188,231,680 would take you about eleven million, nine thousand, eight hundred fifty-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 138502188231680 cubic inches would be around 4311.6 feet tall.
Recreational maths with 138502188231680
- 138502188231680 backwards is 086132881205831
- 138502188231680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138502188231680's digits is 56
- More coming soon!
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Cite this page
MLA style:
"Number 138502188231680 - Facts about the integer". Numbermatics.com. 2024. Web. 26 June 2024.
APA style:
Numbermatics. (2024). Number 138502188231680 - Facts about the integer. Retrieved 26 June 2024, from https://numbermatics.com/n/138502188231680/
Chicago style:
Numbermatics. 2024. "Number 138502188231680 - Facts about the integer". https://numbermatics.com/n/138502188231680/
The information we have on file for 138502188231680 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!
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