138752460
138,752,460 is an even composite number composed of seven prime numbers multiplied together.
138752460 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138752460:
22 × 33 × 5 × 7 × 11 × 47 × 71
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 47 × 71)See below for interesting mathematical facts about the number 138752460 from the Numbermatics database.
Names of 138752460
- Cardinal: 138752460 can be written as One hundred thirty-eight million, seven hundred fifty-two thousand, four hundred sixty.
Scientific notation
- Scientific notation: 1.3875246 × 108
Factors of 138752460
Divisors of 138752460
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 27 28 30 33 35 36 42 44 45 47 54 55 60 63 66 70 71 77 84 90 94 99 105 108 110 126 132 135 140 141 142 154 165 180 188 189 198 210 213 220 231 235 252 270 282 284 297 308 315 329 330 355 378 385 396 420 423 426 462 470 495 497 517 540 564 594 630 639 658 660 693 705 710 756 770 781 846 852 924 940 945 987 990 994 1034 1065 1155 1188 1260 1269 1278 1316 1386 1410 1420 1485 1491 1540 1551 1562 1645 1692 1890 1917 1974 1980 1988 2068 2079 2115 2130 2310 2343 2485 2538 2556 2585 2772 2820 2961 2970 2982 3102 3124 3195 3290 3337 3465 3619 3780 3834 3905 3948 4158 4230 4260 4473 4620 4653 4686 4935 4970 5076 5170 5467 5922 5940 5964 6204 6345 6390 6580 6674 6930 7029 7238 7455 7668 7755 7810 8316 8460 8883 8946 9306 9372 9585 9870 9940 10011 10340 10395 10857 10934 11715 11844 12690 12780 13348 13419 13860 13959 14058 14476 14805 14910 15510 15620 16401 16685 17766 17892 18095 18612 19170 19740 20022 20790 21087 21714 21868 22365 23265 23359 23430 25380 26838 27335 27918 28116 29610 29820 30033 31020 32571 32802 33370 35145 35532 36190 36707 38340 40044 41580 42174 43428 44415 44730 46530 46718 46860 49203 50055 53676 54285 54670 55836 59220 60066 65142 65604 66740 67095 69795 70077 70290 72380 73414 82005 84348 88830 89460 90099 93060 93436 97713 98406 100110 105435 108570 109340 110121 116795 120132 130284 134190 139590 140154 140580 146828 147609 150165 162855 164010 177660 180198 183535 195426 196812 200220 210231 210870 217140 220242 233590 246015 256949 268380 279180 280308 295218 300330 325710 328020 330363 350385 360396 367070 390852 420462 421740 440484 450495 467180 488565 492030 513898 550605 590436 600660 630693 651420 660726 700770 734140 738045 770847 840924 900990 977130 984060 991089 1027796 1051155 1101210 1261386 1284745 1321452 1401540 1476090 1541694 1651815 1801980 1954260 1982178 2102310 2202420 2312541 2522772 2569490 2952180 3083388 3153465 3303630 3854235 3964356 4204620 4625082 4955445 5138980 6306930 6607260 6937623 7708470 9250164 9910890 11562705 12613860 13875246 15416940 19821780 23125410 27750492 34688115 46250820 69376230 138752460
- Sum of all divisors σ(n): 557383680
- Sum of proper divisors (its aliquot sum) s(n): 418631220
- 138752460 is an abundant number, because the sum of its proper divisors (418631220) is greater than itself. Its abundance is 279878760
Bases of 138752460
- Binary: 10000100010100110001110011002
- Hexadecimal: 0x84531CC
- Base-36: 2ALY30
Squares and roots of 138752460
- 138752460 squared (1387524602) is 19252245156051600
- 138752460 cubed (1387524603) is 2671296375925243386936000
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The
square root of 138752460 is 11779.3234101115 -
The
cube root of 138752460 is 517.7024622629
Scales and comparisons
How big is 138752460?- 138,752,460 seconds is equal to 4 years, 21 weeks, 2 days, 22 hours, 21 minutes.
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To count from 1 to 138,752,460 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 138752460 cubic inches would be around 43.1 feet tall.
Recreational maths with 138752460
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