138952827680
138,952,827,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138952827680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
138952827680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138952827680:
25 × 5 × 192 × 31 × 71 × 1093
(2 × 2 × 2 × 2 × 2 × 5 × 19 × 19 × 31 × 71 × 1093)See below for interesting mathematical facts about the number 138952827680 from the Numbermatics database.
Names of 138952827680
- Cardinal: 138952827680 can be written as One hundred thirty-eight billion, nine hundred fifty-two million, eight hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3895282768 × 1011
Factors of 138952827680
Divisors of 138952827680
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 31 32 38 40 62 71 76 80 95 124 142 152 155 160 190 248 284 304 310 355 361 380 496 568 589 608 620 710 722 760 992 1093 1136 1178 1240 1349 1420 1444 1520 1805 2186 2201 2272 2356 2480 2698 2840 2888 2945 3040 3610 4372 4402 4712 4960 5396 5465 5680 5776 5890 6745 7220 8744 8804 9424 10792 10930 11005 11191 11360 11552 11780 13490 14440 17488 17608 18848 20767 21584 21860 22010 22382 23560 25631 26980 28880 33883 34976 35216 41534 41819 43168 43720 44020 44764 47120 51262 53960 55955 57760 67766 70432 77603 83068 83638 87440 88040 89528 94240 102524 103835 107920 111910 128155 135532 155206 166136 167276 169415 174880 176080 179056 205048 207670 209095 215840 223820 256310 271064 310412 332272 334552 338830 352160 358112 388015 394573 410096 415340 418190 447640 512620 542128 620824 643777 664544 669104 677660 776030 789146 794561 820192 830680 836380 895280 1025240 1084256 1241648 1287554 1338208 1355320 1474457 1552060 1578292 1589122 1661360 1672760 1790560 1972865 2050480 2405693 2483296 2575108 2710640 2948914 3104120 3156584 3178244 3218885 3322720 3345520 3945730 3972805 4100960 4811386 5150216 5421280 5897828 6208240 6313168 6356488 6437770 6691040 7372285 7891460 7945610 9622772 10300432 11795656 12028465 12231763 12416480 12626336 12712976 12875540 14744570 15782920 15891220 19245544 20600864 23591312 24056930 24463526 25425952 25751080 28014683 29489140 31565840 31782440 38491088 45708167 47182624 48113860 48927052 51502160 56029366 58978280 61158815 63131680 63564880 76982176 91416334 96227720 97854104 103004320 112058732 117956560 122317630 127129760 140073415 182832668 192455440 195708208 224117464 228540835 235913120 244635260 280146830 365665336 384910880 391416416 448234928 457081670 489270520 560293660 731330672 868455173 896469856 914163340 978541040 1120587320 1462661344 1736910346 1828326680 1957082080 2241174640 3473820692 3656653360 4342275865 4482349280 6947641384 7313306720 8684551730 13895282768 17369103460 27790565536 34738206920 69476413840 138952827680
- Sum of all divisors σ(n): 363008314368
- Sum of proper divisors (its aliquot sum) s(n): 224055486688
- 138952827680 is an abundant number, because the sum of its proper divisors (224055486688) is greater than itself. Its abundance is 85102659008
Bases of 138952827680
- Binary: 100000010110100011101111100011001000002
- Hexadecimal: 0x205A3BE320
- Base-36: 1RU0XC0W
Squares and roots of 138952827680
- 138952827680 squared (1389528276802) is 19307888320267774182400
- 138952827680 cubed (1389528276803) is 2682885678630852677424180088832000
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The
square root of 138952827680 is 372763.7692694933 -
The
cube root of 138952827680 is 5179.5154121003
Scales and comparisons
How big is 138952827680?- 138,952,827,680 seconds is equal to 4,418 years, 14 weeks, 7 hours, 41 minutes, 20 seconds.
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To count from 1 to 138,952,827,680 would take you about eight thousand, eight hundred thirty-six 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 138952827680 cubic inches would be around 431.6 feet tall.
Recreational maths with 138952827680
- 138952827680 backwards is 086728259831
- The number of decimal digits it has is: 12
- The sum of 138952827680's digits is 59
- More coming soon!
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