138146717568000
138,146,717,568,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138146717568000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3168 divisors.
138146717568000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 138146717568000:
210 × 3 × 53 × 17 × 192 × 312 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 19 × 19 × 31 × 31 × 61)See below for interesting mathematical facts about the number 138146717568000 from the Numbermatics database.
Names of 138146717568000
- Cardinal: 138146717568000 can be written as One hundred thirty-eight trillion, one hundred forty-six billion, seven hundred seventeen million, five hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38146717568 × 1014
Factors of 138146717568000
Divisors of 138146717568000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 31 32 34 38 40 48 50 51 57 60 61 62 64 68 75 76 80 85 93 95 96 100 102 114 120 122 124 125 128 136 150 152 155 160 170 183 186 190 192 200 204 228 240 244 248 250 255 256 272 285 300 304 305 310 320 323 340 361 366 372 375 380 384 400 408 425 456 465 475 480 488 496 500 510 512 527 544 570 589 600 608 610 620 640 646 680 722 732 744 750 760 768 775 800 816 850 912 915 930 950 960 961 969 976 992 1000 1020 1024 1037 1054 1083 1088 1140 1159 1178 1200 1216 1220 1240 1275 1280 1292 1360 1425 1444 1464 1488 1500 1520 1525 1536 1550 1581 1600 1615 1632 1700 1767 1805 1824 1830 1860 1891 1900 1920 1922 1938 1952 1984 2000 2040 2074 2108 2125 2166 2176 2280 2318 2325 2356 2375 2400 2432 2440 2480 2550 2560 2584 2635 2720 2850 2883 2888 2928 2945 2976 3000 3040 3050 3072 3100 3111 3162 3200 3230 3264 3400 3477 3534 3610 3648 3660 3720 3782 3800 3840 3844 3875 3876 3904 3968 4000 4080 4148 4216 4250 4332 4352 4560 4575 4636 4650 4712 4750 4800 4805 4845 4864 4880 4960 5100 5120 5168 5185 5270 5415 5440 5673 5700 5766 5776 5795 5856 5890 5952 6000 6080 6100 6137 6200 6222 6324 6375 6400 6460 6528 6800 6954 7068 7125 7220 7296 7320 7440 7564 7600 7625 7680 7688 7750 7752 7808 7905 7936 8000 8075 8160 8296 8432 8500 8664 8704 8835 9025 9120 9150 9272 9300 9424 9455 9500 9600 9610 9690 9728 9760 9920 10013 10200 10336 10370 10540 10830 10880 11191 11346 11400 11532 11552 11590 11625 11712 11780 11904 12000 12160 12200 12274 12400 12444 12648 12750 12800 12920 13056 13175 13600 13908 14136 14250 14415 14440 14592 14640 14725 14880 15128 15200 15250 15360 15376 15500 15504 15555 15616 15810 15872 16000 16150 16320 16337 16592 16864 17000 17328 17385 17408 17670 18050 18240 18259 18300 18411 18544 18600 18848 18910 19000 19200 19220 19380 19456 19520 19703 19840 20026 20400 20672 20740 21080 21660 21760 22021 22382 22692 22800 22875 23064 23104 23180 23250 23424 23560 23808 24000 24025 24225 24320 24400 24548 24800 24888 25296 25500 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287805661600 290835194880 297089715200 302953328000 325051100160 338594896000 345366793920 359757077000 363543993600 368391246848 371362144000 377450048000 382677888000 406313875200 427698816000 431708492400 445634572800 452940057600 454429992000 460489058560 484725324800 507892344000 539635615500 541751833600 552586870272 557043216000 566175072000 575611323200 605906656000 677189792000 690733587840 719514154000 727087987200 742724288000 754900096000 812627750400 863416984800 891269145600 908859984000 920978117120 1015784688000 1079271231000 1105173740544 1114086432000 1132350144000 1151222646400 1211813312000 1354379584000 1381467175680 1439028308000 1454175974400 1485448576000 1625255500800 1726833969600 1817719968000 1841956234240 2031569376000 2158542462000 2228172864000 2264700288000 2302445292800 2423626624000 2708759168000 2762934351360 2878056616000 3453667939200 3635439936000 4063138752000 4317084924000 4456345728000 4604890585600 5525868702720 5756113232000 6907335878400 7270879872000 8126277504000 8634169848000 9209781171200 11512226464000 13814671756800 17268339696000 23024452928000 27629343513600 34536679392000 46048905856000 69073358784000 138146717568000
- Sum of all divisors σ(n): 539312952993984
- Sum of proper divisors (its aliquot sum) s(n): 401166235425984
- 138146717568000 is an abundant number, because the sum of its proper divisors (401166235425984) is greater than itself. Its abundance is 263019517857984
Bases of 138146717568000
- Binary: 111110110100100110010100000011100001100000000002
- Hexadecimal: 0x7DA4CA070C00
- Base-36: 1CYVQ4SPHC
Squares and roots of 138146717568000
- 138146717568000 squared (1381467175680002) is 19084515574812759834624000000
- 138146717568000 cubed (1381467175680003) is 2636463183035755507356416115474432000000000
-
The
square root of 138146717568000 is 11753583.1799498489 -
The
cube root of 138146717568000 is 51694.7996829555
Scales and comparisons
How big is 138146717568000?- 138,146,717,568,000 seconds is equal to 4,392,638 years, 15 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 138,146,717,568,000 would take you about ten million, nine hundred eighty-one thousand, five hundred ninety-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 138146717568000 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138146717568000
- 138146717568000 backwards is 000865717641831
- 138146717568000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138146717568000's digits is 57
- More coming soon!
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The information we have on file for 138146717568000 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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