138314880
138,314,880 is an even composite number composed of six prime numbers multiplied together.
138314880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138314880:
27 × 32 × 5 × 11 × 37 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 37 × 59)See below for interesting mathematical facts about the number 138314880 from the Numbermatics database.
Names of 138314880
- Cardinal: 138314880 can be written as One hundred thirty-eight million, three hundred fourteen thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3831488 × 108
Factors of 138314880
Divisors of 138314880
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 37 40 44 45 48 55 59 60 64 66 72 74 80 88 90 96 99 110 111 118 120 128 132 144 148 160 165 176 177 180 185 192 198 220 222 236 240 264 288 295 296 320 330 333 352 354 360 370 384 396 407 440 444 472 480 495 528 531 555 576 590 592 640 649 660 666 704 708 720 740 792 814 880 885 888 944 960 990 1056 1062 1110 1152 1180 1184 1221 1298 1320 1332 1408 1416 1440 1480 1584 1628 1665 1760 1770 1776 1888 1920 1947 1980 2035 2112 2124 2183 2220 2360 2368 2442 2596 2640 2655 2664 2832 2880 2960 3168 3245 3256 3330 3520 3540 3552 3663 3776 3894 3960 4070 4224 4248 4366 4440 4720 4736 4884 5192 5280 5310 5328 5664 5760 5841 5920 6105 6336 6490 6512 6549 6660 7040 7080 7104 7326 7552 7788 7920 8140 8496 8732 8880 9440 9735 9768 10384 10560 10620 10656 10915 11328 11682 11840 12210 12672 12980 13024 13098 13320 14160 14208 14652 15576 15840 16280 16992 17464 17760 18315 18880 19470 19536 19647 20768 21120 21240 21312 21830 22656 23364 23680 24013 24420 25960 26048 26196 26640 28320 29205 29304 31152 31680 32560 32745 33984 34928 35520 36630 37760 38940 39072 39294 41536 42480 42624 43660 46728 48026 48840 51920 52096 52392 53280 56640 58410 58608 62304 63360 65120 65490 67968 69856 71040 72039 73260 77880 78144 78588 83072 84960 87320 93456 96052 97680 98235 103840 104784 106560 113280 116820 117216 120065 124608 130240 130980 139712 144078 146520 155760 156288 157176 169920 174640 186912 192104 195360 196470 207680 209568 213120 216117 233640 234432 240130 249216 260480 261960 279424 288156 293040 311520 314352 339840 349280 360195 373824 384208 390720 392940 415360 419136 432234 467280 468864 480260 523920 576312 586080 623040 628704 698560 720390 747648 768416 781440 785880 838272 864468 934560 960520 1047840 1080585 1152624 1172160 1246080 1257408 1397120 1440780 1536832 1571760 1728936 1869120 1921040 2095680 2161170 2305248 2344320 2514816 2881560 3073664 3143520 3457872 3738240 3842080 4191360 4322340 4610496 5763120 6287040 6915744 7684160 8644680 9220992 11526240 12574080 13831488 15368320 17289360 23052480 27662976 34578720 46104960 69157440 138314880
- Sum of all divisors σ(n): 544190400
- Sum of proper divisors (its aliquot sum) s(n): 405875520
- 138314880 is an abundant number, because the sum of its proper divisors (405875520) is greater than itself. Its abundance is 267560640
Bases of 138314880
- Binary: 10000011111010000100100000002
- Hexadecimal: 0x83E8480
- Base-36: 2ACKG0
Squares and roots of 138314880
- 138314880 squared (1383148802) is 19131006029414400
- 138314880 cubed (1383148803) is 2646102803237729206272000
-
The
square root of 138314880 is 11760.7346709293 -
The
cube root of 138314880 is 517.1576675929
Scales and comparisons
How big is 138314880?- 138,314,880 seconds is equal to 4 years, 20 weeks, 4 days, 20 hours, 48 minutes.
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To count from 1 to 138,314,880 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 138314880 cubic inches would be around 43.1 feet tall.
Recreational maths with 138314880
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