138438846873600
138,438,846,873,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138438846873600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138438846873600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138438846873600:
215 × 3 × 52 × 7 × 132 × 17 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 13 × 17 × 2801)See below for interesting mathematical facts about the number 138438846873600 from the Numbermatics database.
Names of 138438846873600
- Cardinal: 138438846873600 can be written as One hundred thirty-eight trillion, four hundred thirty-eight billion, eight hundred forty-six million, eight hundred seventy-three thousand, six hundred.
Scientific notation
- Scientific notation: 1.384388468736 × 1014
Factors of 138438846873600
Divisors of 138438846873600
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 30 32 34 35 39 40 42 48 50 51 52 56 60 64 65 68 70 75 78 80 84 85 91 96 100 102 104 105 112 119 120 128 130 136 140 150 156 160 168 169 170 175 182 192 195 200 204 208 210 221 224 238 240 255 256 260 272 273 280 300 312 320 325 336 338 340 350 357 364 384 390 400 408 416 420 425 442 448 455 476 480 507 510 512 520 525 544 546 560 595 600 624 640 650 663 672 676 680 700 714 728 768 780 800 816 832 840 845 850 884 896 910 952 960 975 1014 1020 1024 1040 1050 1088 1092 1105 1120 1183 1190 1200 1248 1275 1280 1300 1326 1344 1352 1360 1365 1400 1428 1456 1536 1547 1560 1600 1632 1664 1680 1690 1700 1768 1785 1792 1820 1904 1920 1950 2028 2040 2048 2080 2100 2176 2184 2210 2240 2275 2366 2380 2400 2496 2535 2550 2560 2600 2652 2688 2704 2720 2730 2800 2801 2856 2873 2912 2975 3072 3094 3120 3200 3264 3315 3328 3360 3380 3400 3536 3549 3570 3584 3640 3808 3840 3900 4056 4080 4096 4160 4200 4225 4352 4368 4420 4480 4550 4641 4732 4760 4800 4992 5070 5100 5120 5200 5304 5376 5408 5440 5460 5525 5600 5602 5712 5746 5824 5915 5950 6144 6188 6240 6400 6528 6630 6656 6720 6760 6800 6825 7072 7098 7140 7168 7280 7616 7680 7735 7800 8112 8160 8192 8320 8400 8403 8450 8619 8704 8736 8840 8925 8960 9100 9282 9464 9520 9600 9984 10140 10200 10240 10400 10608 10752 10816 10880 10920 11050 11200 11204 11424 11492 11648 11830 11900 12288 12376 12480 12675 12800 13056 13260 13312 13440 13520 13600 13650 14005 14144 14196 14280 14336 14365 14560 15232 15360 15470 15600 16224 16320 16384 16575 16640 16800 16806 16900 17238 17408 17472 17680 17745 17850 17920 18200 18564 18928 19040 19200 19607 19968 20111 20280 20400 20480 20800 21216 21504 21632 21760 21840 22100 22400 22408 22848 22984 23205 23296 23660 23800 24576 24752 24960 25350 25600 26112 26520 26624 26880 27040 27200 27300 28010 28288 28392 28560 28672 28730 29120 29575 30464 30720 30940 31200 32448 32640 32768 33150 33280 33600 33612 33800 34476 34816 34944 35360 35490 35700 35840 36400 36413 37128 37856 38080 38400 38675 39214 39936 40222 40560 40800 40960 41600 42015 42432 43008 43095 43264 43520 43680 44200 44800 44816 45696 45968 46410 46592 47320 47600 47617 49152 49504 49920 50700 51200 52224 53040 53248 53760 54080 54400 54600 56020 56576 56784 57120 57344 57460 58240 58821 59150 60333 60928 61440 61880 62400 64896 65280 66300 66560 67200 67224 67600 68952 69632 69888 70025 70720 70980 71400 71680 71825 72800 72826 74256 75712 76160 76800 77350 78428 79872 80444 81120 81600 81920 83200 84030 84864 86016 86190 86528 87040 87360 88400 88725 89600 89632 91392 91936 92820 93184 94640 95200 95234 98035 98304 99008 99840 100555 101400 102400 104448 106080 106496 107520 108160 108800 109200 109239 112040 113152 113568 114240 114688 114920 116025 116480 117642 118300 120666 121856 122880 123760 124800 129792 130560 132600 133120 134400 134448 135200 137904 139264 139776 140050 141440 141960 142800 142851 143360 143650 145600 145652 148512 151424 152320 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154507641600 156605030400 162869231616 163832954880 164808151040 166392844800 169655449600 173048558592 177485701120 180258915200 190163251200 193891942400 197769781248 203586539520 204791193600 206010188800 208806707200 212982841344 216310698240 221857126400 230731411456 232670330880 247212226560 253551001600 254483174400 263693041664 266228551680 270388372800 271448719360 273054924800 288414264320 290837913600 304261201920 309015283200 313210060800 325738463232 329616302080 332785689600 339310899200 346097117184 354971402240 360517830400 380326502400 387783884800 395539562496 407173079040 409582387200 412020377600 425965682688 432621396480 443714252800 461462822912 494424453120 507102003200 508966348800 532457103360 540776745600 542897438720 576828528640 581675827200 618030566400 626420121600 659232604160 665571379200 678621798400 692194234368 709942804480 721035660800 760653004800 791079124992 814346158080 819164774400 824040755200 865242792960 887428505600 922925645824 988848906240 1017932697600 1064914206720 1081553491200 1153657057280 1163351654400 1236061132800 1318465208320 1331142758400 1357243596800 1384388468736 1442071321600 1521306009600 1628692316160 1648081510400 1730485585920 1774857011200 1845851291648 1977697812480 2035865395200 2129828413440 2163106982400 2307314114560 2472122265600 2662285516800 2714487193600 2768776937472 2884142643200 3296163020800 3460971171840 3549714022400 3955395624960 4071730790400 4326213964800 4614628229120 4944244531200 5324571033600 5537553874944 5768285286400 6592326041600 6921942343680 8143461580800 8652427929600 9229256458240 9888489062400 10649142067200 11536570572800 13843884687360 17304855859200 19776978124800 23073141145600 27687769374720 34609711718400 46146282291200 69219423436800 138438846873600
- Sum of all divisors σ(n): 600035163327360
- Sum of proper divisors (its aliquot sum) s(n): 461596316453760
- 138438846873600 is an abundant number, because the sum of its proper divisors (461596316453760) is greater than itself. Its abundance is 323157469580160
Bases of 138438846873600
- Binary: 111110111101000110011100100101010000000000000002
- Hexadecimal: 0x7DE8CE4A8000
- Base-36: 1D2LXF1KAO
Squares and roots of 138438846873600
- 138438846873600 squared (1384388468736002) is 19165314323692068494376960000
- 138438846873600 cubed (1384388468736003) is 2653224014942019014891894868075872256000000
-
The
square root of 138438846873600 is 11766003.8617025789 -
The
cube root of 138438846873600 is 51731.2125005319
Scales and comparisons
How big is 138438846873600?- 138,438,846,873,600 seconds is equal to 4,401,927 years, 5 weeks, 5 days, 10 hours, 40 minutes.
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To count from 1 to 138,438,846,873,600 would take you about eleven million, four thousand, eight hundred seventeen 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 138438846873600 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138438846873600
- 138438846873600 backwards is 006378648834831
- The number of decimal digits it has is: 15
- The sum of 138438846873600's digits is 69
- More coming soon!
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The information we have on file for 138438846873600 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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