138719383070400
138,719,383,070,400 is an even composite number composed of seven prime numbers multiplied together.
138719383070400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred two divisors.
Prime factorization of 138719383070400:
26 × 32 × 52 × 112 × 19 × 232 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 19 × 23 × 23 × 89 × 89)See below for interesting mathematical facts about the number 138719383070400 from the Numbermatics database.
Names of 138719383070400
- Cardinal: 138719383070400 can be written as One hundred thirty-eight trillion, seven hundred nineteen billion, three hundred eighty-three million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.387193830704 × 1014
Factors of 138719383070400
Divisors of 138719383070400
- Number of divisors d(n): 3402
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 23 24 25 30 32 33 36 38 40 44 45 46 48 50 55 57 60 64 66 69 72 75 76 80 88 89 90 92 95 96 99 100 110 114 115 120 121 132 138 144 150 152 160 165 171 176 178 180 184 190 192 198 200 207 209 220 225 228 230 240 242 253 264 267 275 276 285 288 300 304 320 330 342 345 352 356 360 363 368 380 396 400 414 418 437 440 445 450 456 460 475 480 484 495 506 528 529 534 550 552 570 575 576 600 605 608 627 660 684 690 704 712 720 726 736 759 760 792 800 801 825 828 836 855 874 880 890 900 912 920 950 960 968 979 990 1012 1035 1045 1056 1058 1068 1089 1100 1104 1140 1150 1200 1210 1216 1254 1265 1311 1320 1335 1368 1380 1424 1425 1440 1452 1472 1518 1520 1584 1587 1600 1602 1650 1656 1672 1691 1710 1725 1748 1760 1780 1800 1815 1824 1840 1881 1900 1936 1958 1980 2024 2047 2070 2090 2112 2116 2136 2178 2185 2200 2208 2225 2277 2280 2299 2300 2400 2420 2475 2508 2530 2622 2640 2645 2670 2736 2760 2783 2848 2850 2880 2904 2937 3025 3036 3040 3135 3168 3174 3204 3300 3312 3344 3382 3420 3450 3496 3520 3560 3600 3630 3648 3680 3762 3795 3800 3872 3916 3933 3960 4005 4048 4094 4140 4180 4232 4272 4275 4356 4370 4400 4416 4450 4554 4560 4598 4600 4761 4800 4807 4840 4895 4950 5016 5060 5073 5175 5225 5244 5280 5290 5340 5445 5472 5520 5566 5696 5700 5808 5819 5874 6050 6072 6080 6141 6270 6325 6336 6348 6408 6555 6600 6624 6675 6688 6764 6840 6897 6900 6992 7120 7200 7260 7360 7524 7590 7600 7744 7832 7866 7920 7921 7935 8010 8096 8188 8280 8349 8360 8455 8464 8544 8550 8712 8740 8800 8811 8900 9075 9108 9120 9196 9200 9405 9522 9614 9680 9790 9900 10032 10051 10120 10146 10235 10350 10450 10488 10560 10580 10680 10769 10890 10925 10944 11040 11132 11385 11400 11495 11616 11638 11748 12100 12144 12282 12540 12650 12696 12816 13110 13200 13225 13248 13350 13376 13528 13680 13794 13800 13915 13984 14240 14400 14421 14520 14685 15048 15180 15200 15219 15664 15675 15732 15840 15842 15870 16020 16192 16376 16560 16698 16720 16910 16928 17088 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481664524550 486734677440 502606460400 504434120256 519548251200 525452208600 548297956800 573220591200 577997429460 603127752480 608418346800 616530591424 630542650320 663729105600 670141947200 693596915352 700602944800 722496786825 730102016160 753909690600 770663239280 779322376800 788178312900 811224462400 840723533760 866996144190 912627520200 924795887136 963329049100 1005212920800 1050904417200 1146441182400 1155994858920 1206255504960 1216836693600 1261085300640 1387193830704 1401205889600 1444993573650 1460204032320 1507819381200 1541326478560 1558644753600 1576356625800 1733992288380 1825255040400 1849591774272 1926658098200 2010425841600 2101808834400 2167490360475 2311989717840 2433673387200 2522170601280 2774387661408 2889987147300 3015638762400 3082652957120 3152713251600 3467984576760 3650510080800 3853316196400 4203617668800 4334980720950 4623979435680 5548775322816 5779974294600 6031277524800 6305426503200 6935969153520 7301020161600 7706632392800 8669961441900 9247958871360 11559948589200 12610853006400 13871938307040 15413264785600 17339922883800 23119897178400 27743876614080 34679845767600 46239794356800 69359691535200 138719383070400
- Sum of all divisors σ(n): 603117967541180
- Sum of proper divisors (its aliquot sum) s(n): 464398584470780
- 138719383070400 is an abundant number, because the sum of its proper divisors (464398584470780) is greater than itself. Its abundance is 325679201400380
Bases of 138719383070400
- Binary: 111111000101010000111111000110100100110110000002
- Hexadecimal: 0x7E2A1F8D26C0
- Base-36: 1D66SZ1V40
Squares and roots of 138719383070400
- 138719383070400 squared (1387193830704002) is 19243067239432378131356160000
- 138719383070400 cubed (1387193830704003) is 2669386415836284698260458888896753664000000
-
The
square root of 138719383070400 is 11777919.3014046415 -
The
cube root of 138719383070400 is 51766.1320965235
Scales and comparisons
How big is 138719383070400?- 138,719,383,070,400 seconds is equal to 4,410,847 years, 15 weeks, 2 days, 4 hours.
-
To count from 1 to 138,719,383,070,400 would take you about eleven million, twenty-seven thousand, one hundred eighteen 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 138719383070400 cubic inches would be around 4313.8 feet tall.
Recreational maths with 138719383070400
- 138719383070400 backwards is 004070383917831
- The number of decimal digits it has is: 15
- The sum of 138719383070400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138719383070400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138719383070400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138719383070400/
Chicago style:
Numbermatics. 2024. "Number 138719383070400 - Facts about the integer". https://numbermatics.com/n/138719383070400/
The information we have on file for 138719383070400 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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