138705840
138,705,840 is an even composite number composed of seven prime numbers multiplied together.
138705840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138705840:
24 × 32 × 5 × 7 × 13 × 29 × 73
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 29 × 73)See below for interesting mathematical facts about the number 138705840 from the Numbermatics database.
Names of 138705840
- Cardinal: 138705840 can be written as One hundred thirty-eight million, seven hundred five thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3870584 × 108
Factors of 138705840
Divisors of 138705840
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 29 30 35 36 39 40 42 45 48 52 56 58 60 63 65 70 72 73 78 80 84 87 90 91 104 105 112 116 117 120 126 130 140 144 145 146 156 168 174 180 182 195 203 208 210 219 232 234 240 252 260 261 273 280 290 292 312 315 336 348 360 364 365 377 390 406 420 435 438 455 464 468 504 511 520 522 546 560 580 584 585 609 624 630 657 696 720 728 730 754 780 812 819 840 870 876 910 936 949 1008 1015 1022 1040 1044 1092 1095 1131 1160 1168 1170 1218 1260 1305 1314 1365 1392 1456 1460 1508 1533 1560 1624 1638 1680 1740 1752 1820 1827 1872 1885 1898 2030 2044 2088 2117 2184 2190 2262 2320 2340 2436 2520 2555 2610 2628 2639 2730 2847 2920 3016 3045 3066 3120 3248 3276 3285 3393 3480 3504 3640 3654 3770 3796 4060 4088 4095 4176 4234 4368 4380 4524 4599 4680 4745 4872 5040 5110 5220 5256 5278 5460 5655 5694 5840 6032 6090 6132 6351 6552 6570 6643 6786 6960 7280 7308 7540 7592 7665 7917 8120 8176 8190 8468 8541 8760 9048 9135 9198 9360 9490 9744 10220 10440 10512 10556 10585 10920 11310 11388 12180 12264 12702 13104 13140 13195 13286 13572 14235 14616 14819 15080 15184 15330 15834 16240 16380 16936 16965 17082 17520 18096 18270 18396 18980 19053 19929 20440 20880 21112 21170 21840 22620 22776 22995 23751 24360 24528 25404 26280 26390 26572 27144 27521 28470 29232 29638 30160 30660 31668 31755 32760 33215 33872 33930 34164 36540 36792 37960 38106 39585 39858 40880 42224 42340 42705 44457 45240 45552 45990 47502 48720 50808 52560 52780 53144 54288 55042 56940 59276 59787 61320 63336 63510 65520 66430 67860 68328 73080 73584 74095 75920 76212 79170 79716 82563 84680 85410 88914 90480 91980 95004 95265 99645 101616 105560 106288 110084 113880 118552 118755 119574 122640 126672 127020 132860 133371 135720 136656 137605 146160 148190 152424 158340 159432 165126 169360 170820 177828 183960 190008 190530 192647 199290 211120 220168 222285 227760 237104 237510 239148 247689 254040 265720 266742 271440 275210 296380 298935 304848 316680 318864 330252 341640 355656 367920 380016 381060 385294 398580 412815 440336 444570 475020 478296 495378 508080 531440 533484 550420 577941 592760 597870 633360 660504 666855 683280 711312 762120 770588 797160 825630 889140 950040 956592 963235 990756 1066968 1100840 1155882 1185520 1195740 1238445 1321008 1333710 1524240 1541176 1594320 1651260 1733823 1778280 1900080 1926470 1981512 2133936 2201680 2311764 2391480 2476890 2667420 2889705 3082352 3302520 3467646 3556560 3852940 3963024 4623528 4782960 4953780 5334840 5779410 6605040 6935292 7705880 8669115 9247056 9907560 10669680 11558820 13870584 15411760 17338230 19815120 23117640 27741168 34676460 46235280 69352920 138705840
- Sum of all divisors σ(n): 601211520
- Sum of proper divisors (its aliquot sum) s(n): 462505680
- 138705840 is an abundant number, because the sum of its proper divisors (462505680) is greater than itself. Its abundance is 323799840
Bases of 138705840
- Binary: 10000100010001111011101100002
- Hexadecimal: 0x8447BB0
- Base-36: 2AKY40
Squares and roots of 138705840
- 138705840 squared (1387058402) is 19239310050105600
- 138705840 cubed (1387058403) is 2668604661520339336704000
-
The
square root of 138705840 is 11777.3443526119 -
The
cube root of 138705840 is 517.6444741201
Scales and comparisons
How big is 138705840?- 138,705,840 seconds is equal to 4 years, 21 weeks, 2 days, 9 hours, 24 minutes.
-
To count from 1 to 138,705,840 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 138705840 cubic inches would be around 43.1 feet tall.
Recreational maths with 138705840
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