138065071872000
138,065,071,872,000 is an even composite number composed of seven prime numbers multiplied together.
138065071872000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138065071872000:
211 × 3 × 53 × 72 × 132 × 17 × 1277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 17 × 1277)See below for interesting mathematical facts about the number 138065071872000 from the Numbermatics database.
Names of 138065071872000
- Cardinal: 138065071872000 can be written as One hundred thirty-eight trillion, sixty-five billion, seventy-one million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.38065071872 × 1014
Factors of 138065071872000
Divisors of 138065071872000
- Number of divisors d(n): 3456
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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 49 50 51 52 56 60 64 65 68 70 75 78 80 84 85 91 96 98 100 102 104 105 112 119 120 125 128 130 136 140 147 150 156 160 168 169 170 175 182 192 195 196 200 204 208 210 221 224 238 240 245 250 255 256 260 272 273 280 294 300 312 320 325 336 338 340 350 357 364 375 384 390 392 400 408 416 420 425 442 448 455 476 480 490 500 507 510 512 520 525 544 546 560 588 595 600 624 637 640 650 663 672 676 680 700 714 728 735 750 768 780 784 800 816 832 833 840 845 850 875 884 896 910 952 960 975 980 1000 1014 1020 1024 1040 1050 1088 1092 1105 1120 1176 1183 1190 1200 1225 1248 1274 1275 1277 1280 1300 1326 1344 1352 1360 1365 1400 1428 1456 1470 1500 1536 1547 1560 1568 1600 1625 1632 1664 1666 1680 1690 1700 1750 1768 1785 1792 1820 1904 1911 1920 1950 1960 2000 2028 2040 2048 2080 2100 2125 2176 2184 2210 2240 2275 2352 2366 2380 2400 2450 2496 2499 2535 2548 2550 2554 2560 2600 2625 2652 2688 2704 2720 2730 2800 2856 2873 2912 2940 2975 3000 3072 3094 3120 3136 3185 3200 3250 3264 3315 3328 3332 3360 3380 3400 3500 3536 3549 3570 3584 3640 3675 3808 3822 3831 3840 3900 3920 4000 4056 4080 4160 4165 4200 4225 4250 4352 4368 4420 4480 4550 4641 4704 4732 4760 4800 4875 4900 4992 4998 5070 5096 5100 5108 5120 5200 5250 5304 5376 5408 5440 5460 5525 5600 5712 5746 5824 5880 5915 5950 6000 6125 6144 6188 6240 6272 6370 6375 6385 6400 6500 6528 6630 6656 6664 6720 6760 6800 6825 7000 7072 7098 7140 7168 7280 7350 7616 7644 7662 7680 7735 7800 7840 8000 8112 8160 8281 8320 8330 8400 8450 8500 8619 8704 8736 8840 8925 8939 8960 9100 9282 9408 9464 9520 9555 9600 9750 9800 9984 9996 10140 10192 10200 10216 10240 10400 10500 10608 10752 10816 10829 10880 10920 11050 11200 11375 11424 11492 11648 11760 11830 11900 12000 12250 12376 12480 12495 12544 12675 12740 12750 12770 12800 13000 13056 13260 13312 13328 13440 13520 13600 13650 14000 14144 14196 14280 14336 14365 14560 14700 14875 15232 15288 15324 15360 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252866432000 253796088000 262981089280 265509753600 269658343500 270715827200 272317696000 276130143744 281765452800 287635566400 290052672000 303439718400 308180964000 312364416000 324858992640 328726361600 331887192000 338394784000 345162679680 352206816000 354013004800 359544458000 368173524992 379299648000 386736896000 394471633920 406073740800 408476544000 410907952000 424815605760 431453349600 442516256000 460216906240 469609088000 493089542400 505732864000 507592176000 531019507200 539316687000 541431654400 552260287488 563530905600 575271132800 580105344000 616361928000 624728832000 657452723200 663774384000 676789568000 690325359360 704413632000 708026009600 719088916000 758599296000 788943267840 812147481600 816953088000 821815904000 862906699200 885032512000 920433812480 939218176000 986179084800 1015184352000 1062039014400 1078633374000 1104520574976 1150542265600 1160210688000 1232723856000 1314905446400 1327548768000 1353579136000 1380650718720 1408827264000 1438177832000 1517198592000 1624294963200 1643631808000 1725813398400 1770065024000 1840867624960 1972358169600 2030368704000 2124078028800 2157266748000 2301084531200 2465447712000 2655097536000 2707158272000 2761301437440 2817654528000 2876355664000 3287263616000 3451626796800 3540130048000 3944716339200 4060737408000 4314533496000 4602169062400 4930895424000 5310195072000 5522602874880 5752711328000 6574527232000 6903253593600 8121474816000 8629066992000 9204338124800 9861790848000 10620390144000 11505422656000 13806507187200 17258133984000 19723581696000 23010845312000 27613014374400 34516267968000 46021690624000 69032535936000 138065071872000
- Sum of all divisors σ(n): 613151507142720
- Sum of proper divisors (its aliquot sum) s(n): 475086435270720
- 138065071872000 is an abundant number, because the sum of its proper divisors (475086435270720) is greater than itself. Its abundance is 337021363398720
Bases of 138065071872000
- Binary: 111110110010001110001111001000010011000000000002
- Hexadecimal: 0x7D91C7909800
- Base-36: 1CXU7V239C
Squares and roots of 138065071872000
- 138065071872000 squared (1380650718720002) is 19061964071020525584384000000
- 138065071872000 cubed (1380650718720003) is 2631791439486930577195191760846848000000000
-
The
square root of 138065071872000 is 11750109.4408520297 -
The
cube root of 138065071872000 is 51684.6136775097
Scales and comparisons
How big is 138065071872000?- 138,065,071,872,000 seconds is equal to 4,390,042 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 138,065,071,872,000 would take you about ten million, nine hundred seventy-five thousand, one hundred five 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 138065071872000 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138065071872000
- 138065071872000 backwards is 000278170560831
- 138065071872000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138065071872000's digits is 48
- More coming soon!
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"Number 138065071872000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138065071872000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138065071872000/
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The information we have on file for 138065071872000 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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