138952320
138,952,320 is an even composite number composed of six prime numbers multiplied together.
138952320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138952320:
27 × 3 × 5 × 13 × 19 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 293)See below for interesting mathematical facts about the number 138952320 from the Numbermatics database.
Names of 138952320
- Cardinal: 138952320 can be written as One hundred thirty-eight million, nine hundred fifty-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3895232 × 108
Factors of 138952320
Divisors of 138952320
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 128 130 152 156 160 190 192 195 208 228 240 247 260 285 293 304 312 320 380 384 390 416 456 480 494 520 570 586 608 624 640 741 760 780 832 879 912 960 988 1040 1140 1172 1216 1235 1248 1465 1482 1520 1560 1664 1758 1824 1920 1976 2080 2280 2344 2432 2470 2496 2930 2964 3040 3120 3516 3648 3705 3809 3952 4160 4395 4560 4688 4940 4992 5567 5860 5928 6080 6240 7032 7296 7410 7618 7904 8320 8790 9120 9376 9880 11134 11427 11720 11856 12160 12480 14064 14820 15236 15808 16701 17580 18240 18752 19045 19760 22268 22854 23440 23712 24960 27835 28128 29640 30472 31616 33402 35160 36480 37504 38090 39520 44536 45708 46880 47424 55670 56256 57135 59280 60944 66804 70320 72371 76180 79040 83505 89072 91416 93760 94848 111340 112512 114270 118560 121888 133608 140640 144742 152360 158080 167010 178144 182832 187520 217113 222680 228540 237120 243776 267216 281280 289484 304720 334020 356288 361855 365664 434226 445360 457080 474240 487552 534432 562560 578968 609440 668040 712576 723710 731328 868452 890720 914160 1068864 1085565 1157936 1218880 1336080 1447420 1462656 1736904 1781440 1828320 2137728 2171130 2315872 2437760 2672160 2894840 3473808 3562880 3656640 4342260 4631744 5344320 5789680 6947616 7313280 8684520 9263488 10688640 11579360 13895232 17369040 23158720 27790464 34738080 46317440 69476160 138952320
- Sum of all divisors σ(n): 503798400
- Sum of proper divisors (its aliquot sum) s(n): 364846080
- 138952320 is an abundant number, because the sum of its proper divisors (364846080) is greater than itself. Its abundance is 225893760
Bases of 138952320
- Binary: 10000100100000111110100000002
- Hexadecimal: 0x8483E80
- Base-36: 2AQ8AO
Squares and roots of 138952320
- 138952320 squared (1389523202) is 19307747233382400
- 138952320 cubed (1389523203) is 2682856272052065927168000
-
The
square root of 138952320 is 11787.8038667091 -
The
cube root of 138952320 is 517.9509104109
Scales and comparisons
How big is 138952320?- 138,952,320 seconds is equal to 4 years, 21 weeks, 5 days, 5 hours, 52 minutes.
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To count from 1 to 138,952,320 would take you about 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 138952320 cubic inches would be around 43.2 feet tall.
Recreational maths with 138952320
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