138696969600
138,696,969,600 is an even composite number composed of five prime numbers multiplied together.
138696969600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138696969600:
27 × 33 × 52 × 72 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 181 × 181)See below for interesting mathematical facts about the number 138696969600 from the Numbermatics database.
Names of 138696969600
- Cardinal: 138696969600 can be written as One hundred thirty-eight billion, six hundred ninety-six million, nine hundred sixty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.386969696 × 1011
Factors of 138696969600
Divisors of 138696969600
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 160 168 175 180 181 189 192 196 200 210 216 224 225 240 245 252 270 280 288 294 300 315 320 336 350 360 362 378 384 392 400 420 432 441 448 450 480 490 504 525 540 543 560 576 588 600 630 640 672 675 700 720 724 735 756 784 800 840 864 882 896 900 905 945 960 980 1008 1050 1080 1086 1120 1152 1176 1200 1225 1260 1267 1323 1344 1350 1400 1440 1448 1470 1512 1568 1575 1600 1629 1680 1728 1764 1800 1810 1890 1920 1960 2016 2100 2160 2172 2205 2240 2352 2400 2450 2520 2534 2646 2688 2700 2715 2800 2880 2896 2940 3024 3136 3150 3200 3258 3360 3456 3528 3600 3620 3675 3780 3801 3920 4032 4200 4320 4344 4410 4480 4525 4704 4725 4800 4887 4900 5040 5068 5292 5400 5430 5600 5760 5792 5880 6048 6272 6300 6335 6516 6615 6720 7056 7200 7240 7350 7560 7602 7840 8064 8145 8400 8640 8688 8820 8869 9050 9408 9450 9600 9774 9800 10080 10136 10584 10800 10860 11025 11200 11403 11584 11760 12096 12600 12670 13032 13230 13440 13575 14112 14400 14480 14700 15120 15204 15680 16290 16800 17280 17376 17640 17738 18100 18816 18900 19005 19548 19600 20160 20272 21168 21600 21720 22050 22400 22806 23168 23520 24192 24435 25200 25340 26064 26460 26607 27150 28224 28800 28960 29400 30240 30408 31360 31675 32580 32761 33075 33600 34209 34752 35280 35476 36200 37800 38010 39096 39200 40320 40544 40725 42336 43200 43440 44100 44345 45612 47040 48870 50400 50680 52128 52920 53214 54300 56448 57015 57920 58800 60480 60816 63350 65160 65522 66150 67200 68418 69504 70560 70952 72400 75600 76020 78192 78400 79821 81088 81450 84672 86400 86880 88200 88690 91224 94080 95025 97740 98283 100800 101360 104256 105840 106428 108600 114030 115840 117600 120960 121632 122175 126700 130320 131044 132300 133035 136836 141120 141904 144800 151200 152040 156384 156800 159642 162176 162900 163805 169344 171045 173760 176400 177380 182448 190050 195480 196566 201600 202720 208512 211680 212856 217200 221725 228060 229327 235200 239463 243264 244350 253400 260640 262088 264600 266070 273672 282240 283808 285075 289600 294849 302400 304080 312768 319284 325800 327610 342090 347520 352800 354760 364896 380100 390960 393132 399105 405440 423360 425712 434400 443450 456120 458654 470400 478926 486528 488700 491415 506800 521280 524176 529200 532140 547344 567616 570150 579200 589698 604800 608160 625536 638568 651600 655220 665175 684180 687981 705600 709520 729792 760200 781920 786264 798210 810880 819025 846720 851424 855225 868800 884547 886900 912240 917308 957852 977400 982830 1013600 1042560 1048352 1058400 1064280 1094688 1135232 1140300 1146635 1179396 1197315 1216320 1277136 1303200 1310440 1330350 1368360 1375962 1411200 1419040 1459584 1474245 1520400 1563840 1572528 1596420 1605289 1638050 1702848 1710450 1737600 1769094 1773800 1824480 1834616 1915704 1954800 1965660 1995525 2027200 2063943 2096704 2116800 2128560 2189376 2280600 2293270 2358792 2394630 2432640 2457075 2554272 2606400 2620880 2660700 2736720 2751924 2838080 2948490 3040800 3127680 3145056 3192840 3210578 3276100 3405696 3420900 3439905 3538188 3547600 3648960 3669232 3831408 3909600 3931320 3991050 4054400 4127886 4193408 4233600 4257120 4378752 4422735 4561200 4586540 4717584 4789260 4815867 4914150 5108544 5212800 5241760 5321400 5473440 5503848 5676160 5733175 5896980 5986575 6081600 6191829 6290112 6385680 6421156 6552200 6841800 6879810 7076376 7095200 7297920 7338464 7371225 7662816 7819200 7862640 7982100 8026445 8255772 8514240 8845470 9122400 9173080 9435168 9578520 9631734 9828300 10217088 10319715 10483520 10642800 10946880 11007696 11466350 11793960 11973150 12163200 12383658 12580224 12771360 12842312 13104400 13683600 13759620 14152752 14190400 14447601 14676928 14742450 15325632 15638400 15725280 15964200 16052890 16511544 17028480 17199525 17690940 18244800 18346160 18870336 19157040 19263468 19656600 20639430 20967040 21285600 21893760 22015392 22113675 22932700 23587920 23946300 24079335 24767316 25542720 25684624 26208800 27367200 27519240 28305504 28380800 28895202 29353856 29484900 30651264 30959145 31450560 31928400 32105780 33023088 34399050 35381880 36489600 36692320 37740672 38314080 38526936 39313200 40132225 41278860 42571200 43342803 44030784 44227350 45865400 47175840 47892600 48158670 49534632 51085440 51369248 51598575 52417600 54734400 55038480 56611008 57790404 58969800 61918290 62901120 63856800 64211560 66046176 68798100 70763760 72238005 73384640 76628160 77053872 78626400 80264450 82557720 85142400 86685606 88061568 88454700 91730800 94351680 95785200 96317340 99069264 102738496 103197150 104835200 109468800 110076960 113222016 115580808 117939600 120396675 123836580 127713600 128423120 132092352 137596200 141527520 144476010 146769280 153256320 154107744 154795725 157252800 160528900 165115440 173371212 176909400 183461600 188703360 191570400 192634680 198138528 205476992 206394300 216714015 220153920 231161616 235879200 240793350 247673160 255427200 256846240 264184704 275192400 283055040 288952020 308215488 309591450 314505600 321057800 330230880 346742424 353818800 361190025 366923200 383140800 385269360 396277056 412788600 433428030 440307840 462323232 471758400 481586700 495346320 513692480 550384800 566110080 577904040 616430976 619182900 642115600 660461760 693484848 707637600 722380050 733846400 766281600 770538720 792554112 825577200 866856060 924646464 943516800 963173400 990692640 1027384960 1083570075 1100769600 1155808080 1238365800 1284231200 1320923520 1386969696 1415275200 1444760100 1541077440 1651154400 1733712120 1849292928 1926346800 1981385280 2167140150 2201539200 2311616160 2476731600 2568462400 2773939392 2830550400 2889520200 3082154880 3302308800 3467424240 3852693600 3962770560 4334280300 4623232320 4953463200 5136924800 5547878784 5779040400 6604617600 6934848480 7705387200 8668560600 9246464640 9906926400 11558080800 13869696960 15410774400 17337121200 19813852800 23116161600 27739393920 34674242400 46232323200 69348484800 138696969600
- Sum of all divisors σ(n): 593744866200
- Sum of proper divisors (its aliquot sum) s(n): 455047896600
- 138696969600 is an abundant number, because the sum of its proper divisors (455047896600) is greater than itself. Its abundance is 316350927000
Bases of 138696969600
- Binary: 100000010010101111101111001101100000002
- Hexadecimal: 0x204AFBCD80
- Base-36: 1RPSLEO0
Squares and roots of 138696969600
- 138696969600 squared (1386969696002) is 19236849376223324160000
- 138696969600 cubed (1386969696003) is 2668092713133825353830465536000000
-
The
square root of 138696969600 is 372420.4204927543 -
The
cube root of 138696969600 is 5176.3343922925
Scales and comparisons
How big is 138696969600?- 138,696,969,600 seconds is equal to 4,410 years, 7 weeks.
-
To count from 1 to 138,696,969,600 would take you about eight thousand, eight hundred twenty 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 138696969600 cubic inches would be around 431.4 feet tall.
Recreational maths with 138696969600
- 138696969600 backwards is 006969696831
- 138696969600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138696969600's digits is 63
- More coming soon!
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