120138480
120,138,480 is an even composite number composed of six prime numbers multiplied together.
120138480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 120138480:
24 × 32 × 5 × 7 × 112 × 197
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 11 × 197)See below for interesting mathematical facts about the number 120138480 from the Numbermatics database.
Names of 120138480
- Cardinal: 120138480 can be written as One hundred twenty million, one hundred thirty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.2013848 × 108
Factors of 120138480
Divisors of 120138480
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 33 35 36 40 42 44 45 48 55 56 60 63 66 70 72 77 80 84 88 90 99 105 110 112 120 121 126 132 140 144 154 165 168 176 180 197 198 210 220 231 240 242 252 264 280 308 315 330 336 360 363 385 394 396 420 440 462 484 495 504 528 560 591 605 616 630 660 693 720 726 770 788 792 840 847 880 924 968 985 990 1008 1089 1155 1182 1210 1232 1260 1320 1379 1386 1452 1540 1576 1584 1680 1694 1773 1815 1848 1936 1970 1980 2167 2178 2310 2364 2420 2520 2541 2640 2758 2772 2904 2955 3080 3152 3388 3465 3546 3630 3696 3940 3960 4137 4235 4334 4356 4620 4728 4840 5040 5082 5445 5516 5544 5808 5910 6160 6501 6776 6895 6930 7092 7260 7623 7880 7920 8274 8470 8668 8712 8865 9240 9456 9680 10164 10835 10890 11032 11088 11820 12411 12705 13002 13552 13790 13860 14184 14520 15169 15246 15760 16548 16940 17336 17424 17730 18480 19503 20328 20685 21670 21780 22064 23640 23837 24822 25410 26004 27580 27720 28368 29040 30338 30492 32505 33096 33880 34672 35460 38115 39006 40656 41370 43340 43560 45507 47280 47674 49644 50820 52008 55160 55440 60676 60984 62055 65010 66192 67760 70920 71511 75845 76230 78012 82740 86680 87120 91014 95348 97515 99288 101640 104016 110320 119185 121352 121968 124110 130020 136521 141840 143022 151690 152460 156024 165480 166859 173360 182028 190696 195030 198576 203280 214533 227535 238370 242704 248220 260040 273042 286044 303380 304920 312048 330960 333718 357555 364056 381392 390060 429066 455070 476740 496440 500577 520080 546084 572088 606760 609840 667436 682605 715110 728112 780120 834295 858132 910140 953480 992880 1001154 1072665 1092168 1144176 1213520 1334872 1365210 1430220 1501731 1560240 1668590 1716264 1820280 1906960 2002308 2145330 2184336 2502885 2669744 2730420 2860440 3003462 3337180 3432528 3640560 4004616 4290660 5005770 5460840 5720880 6006924 6674360 7508655 8009232 8581320 10011540 10921680 12013848 13348720 15017310 17162640 20023080 24027696 30034620 40046160 60069240 120138480
- Sum of all divisors σ(n): 509404896
- Sum of proper divisors (its aliquot sum) s(n): 389266416
- 120138480 is an abundant number, because the sum of its proper divisors (389266416) is greater than itself. Its abundance is 269127936
Bases of 120138480
- Binary: 1110010100100101010111100002
- Hexadecimal: 0x7292AF0
- Base-36: 1ZIZG0
Squares and roots of 120138480
- 120138480 squared (1201384802) is 14433254376710400
- 120138480 cubed (1201384803) is 1733989242271334856192000
-
The
square root of 120138480 is 10960.7700459411 -
The
cube root of 120138480 is 493.4320758441
Scales and comparisons
How big is 120138480?- 120,138,480 seconds is equal to 3 years, 42 weeks, 4 days, 11 hours, 48 minutes.
-
To count from 1 to 120,138,480 would take you about five 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 120138480 cubic inches would be around 41.1 feet tall.
Recreational maths with 120138480
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