121938960
121,938,960 is an even composite number composed of seven prime numbers multiplied together.
121938960 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 121938960:
24 × 3 × 5 × 112 × 13 × 17 × 19
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 17 × 19)See below for interesting mathematical facts about the number 121938960 from the Numbermatics database.
Names of 121938960
- Cardinal: 121938960 can be written as One hundred twenty-one million, nine hundred thirty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.2193896 × 108
Factors of 121938960
Divisors of 121938960
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 19 20 22 24 26 30 33 34 38 39 40 44 48 51 52 55 57 60 65 66 68 76 78 80 85 88 95 102 104 110 114 120 121 130 132 136 143 152 156 165 170 176 187 190 195 204 208 209 220 221 228 240 242 247 255 260 264 272 285 286 304 312 323 330 340 363 374 380 390 408 418 429 440 442 456 484 494 510 520 528 561 570 572 605 624 627 646 660 663 680 715 726 741 748 760 780 816 836 858 880 884 912 935 968 969 988 1020 1040 1045 1105 1122 1140 1144 1210 1235 1254 1292 1320 1326 1360 1430 1452 1482 1496 1520 1560 1573 1615 1672 1716 1768 1815 1870 1936 1938 1976 2040 2057 2090 2145 2210 2244 2280 2288 2299 2420 2431 2470 2508 2584 2640 2652 2717 2805 2860 2904 2964 2992 3120 3135 3146 3230 3315 3344 3432 3536 3553 3630 3705 3740 3876 3952 4080 4114 4180 4199 4290 4420 4488 4560 4598 4719 4840 4845 4862 4940 5016 5168 5304 5434 5610 5720 5808 5928 6171 6270 6292 6460 6630 6864 6897 7106 7260 7293 7410 7480 7752 7865 8151 8228 8360 8398 8580 8840 8976 9196 9438 9680 9690 9724 9880 10032 10285 10608 10659 10868 11220 11440 11495 11856 12155 12342 12540 12584 12597 12920 13260 13585 13794 14212 14520 14586 14820 14960 15504 15730 16302 16456 16720 16796 17160 17680 17765 18392 18876 19380 19448 19760 20570 20995 21318 21736 22440 22990 23595 24310 24684 25080 25168 25194 25840 26520 26741 27170 27588 28424 29040 29172 29640 29887 30855 31460 32604 32912 33592 34320 34485 35530 36465 36784 37752 38760 38896 39083 40755 41140 41990 42636 43472 44880 45980 46189 47190 48620 49368 50160 50388 53040 53295 53482 54340 55176 56848 58344 59280 59774 61710 62920 62985 65208 67184 68970 71060 72930 75504 77520 78166 80223 81510 82280 83980 85272 89661 91960 92378 94380 97240 98736 100776 106590 106964 108680 110352 116688 117249 119548 123420 125840 125970 130416 133705 137940 138567 142120 145860 149435 156332 160446 163020 164560 167960 170544 179322 183920 184756 188760 194480 195415 201552 213180 213928 217360 230945 234498 239096 246840 251940 267410 275880 277134 284240 291720 298870 312664 320892 326040 335920 358644 369512 377520 390830 401115 426360 427856 448305 461890 468996 478192 493680 503880 508079 534820 551760 554268 583440 586245 597740 625328 641784 652080 692835 717288 739024 781660 802230 852720 896610 923780 937992 1007760 1016158 1069640 1108536 1172490 1195480 1283568 1385670 1434576 1524237 1563320 1604460 1793220 1847560 1875984 2032316 2139280 2217072 2344980 2390960 2540395 2771340 3048474 3126640 3208920 3586440 3695120 4064632 4689960 5080790 5542680 6096948 6417840 7172880 7621185 8129264 9379920 10161580 11085360 12193896 15242370 20323160 24387792 30484740 40646320 60969480 121938960
- Sum of all divisors σ(n): 498718080
- Sum of proper divisors (its aliquot sum) s(n): 376779120
- 121938960 is an abundant number, because the sum of its proper divisors (376779120) is greater than itself. Its abundance is 254840160
Bases of 121938960
- Binary: 1110100010010100100000100002
- Hexadecimal: 0x744A410
- Base-36: 20LKPC
Squares and roots of 121938960
- 121938960 squared (1219389602) is 14869109965881600
- 121938960 cubed (1219389603) is 1813123805365237787136000
-
The
square root of 121938960 is 11042.5975205111 -
The
cube root of 121938960 is 495.8848371203
Scales and comparisons
How big is 121938960?- 121,938,960 seconds is equal to 3 years, 45 weeks, 4 days, 7 hours, 56 minutes.
-
To count from 1 to 121,938,960 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 121938960 cubic inches would be around 41.3 feet tall.
Recreational maths with 121938960
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