138201600
138,201,600 is an even composite number composed of five prime numbers multiplied together.
138201600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138201600:
29 × 3 × 52 × 59 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 59 × 61)See below for interesting mathematical facts about the number 138201600 from the Numbermatics database.
Names of 138201600
- Cardinal: 138201600 can be written as One hundred thirty-eight million, two hundred one thousand, six hundred.
Scientific notation
- Scientific notation: 1.382016 × 108
Factors of 138201600
Divisors of 138201600
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 59 60 61 64 75 80 96 100 118 120 122 128 150 160 177 183 192 200 236 240 244 256 295 300 305 320 354 366 384 400 472 480 488 512 590 600 610 640 708 732 768 800 885 915 944 960 976 1180 1200 1220 1280 1416 1464 1475 1525 1536 1600 1770 1830 1888 1920 1952 2360 2400 2440 2560 2832 2928 2950 3050 3200 3540 3599 3660 3776 3840 3904 4425 4575 4720 4800 4880 5664 5856 5900 6100 6400 7080 7198 7320 7552 7680 7808 8850 9150 9440 9600 9760 10797 11328 11712 11800 12200 12800 14160 14396 14640 15104 15616 17700 17995 18300 18880 19200 19520 21594 22656 23424 23600 24400 28320 28792 29280 30208 31232 35400 35990 36600 37760 38400 39040 43188 45312 46848 47200 48800 53985 56640 57584 58560 70800 71980 73200 75520 78080 86376 89975 90624 93696 94400 97600 107970 113280 115168 117120 141600 143960 146400 151040 156160 172752 179950 188800 195200 215940 226560 230336 234240 269925 283200 287920 292800 345504 359900 377600 390400 431880 453120 460672 468480 539850 566400 575840 585600 691008 719800 755200 780800 863760 921344 1079700 1132800 1151680 1171200 1382016 1439600 1727520 1842688 2159400 2265600 2303360 2342400 2764032 2879200 3455040 4318800 4606720 5528064 5758400 6910080 8637600 9213440 11516800 13820160 17275200 23033600 27640320 34550400 46067200 69100800 138201600
- Sum of all divisors σ(n): 471889440
- Sum of proper divisors (its aliquot sum) s(n): 333687840
- 138201600 is an abundant number, because the sum of its proper divisors (333687840) is greater than itself. Its abundance is 195486240
Bases of 138201600
- Binary: 10000011110011001010000000002
- Hexadecimal: 0x83CCA00
- Base-36: 2AA51C
Squares and roots of 138201600
- 138201600 squared (1382016002) is 19099682242560000
- 138201600 cubed (1382016003) is 2639606645413380096000000
-
The
square root of 138201600 is 11755.9176587793 -
The
cube root of 138201600 is 517.0164448475
Scales and comparisons
How big is 138201600?- 138,201,600 seconds is equal to 4 years, 20 weeks, 3 days, 13 hours, 20 minutes.
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To count from 1 to 138,201,600 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 138201600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138201600
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