145923960
145,923,960 is an even composite number composed of seven prime numbers multiplied together.
145923960 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 145923960:
23 × 3 × 5 × 72 × 13 × 23 × 83
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 23 × 83)See below for interesting mathematical facts about the number 145923960 from the Numbermatics database.
Names of 145923960
- Cardinal: 145923960 can be written as One hundred forty-five million, nine hundred twenty-three thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.4592396 × 108
Factors of 145923960
Divisors of 145923960
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 23 24 26 28 30 35 39 40 42 46 49 52 56 60 65 69 70 78 83 84 91 92 98 104 105 115 120 130 138 140 147 156 161 166 168 182 184 195 196 210 230 245 249 260 273 276 280 294 299 312 322 332 345 364 390 392 415 420 455 460 483 490 498 520 546 552 581 588 598 637 644 664 690 728 735 780 805 830 840 897 910 920 966 980 996 1079 1092 1127 1162 1176 1196 1245 1274 1288 1365 1380 1470 1495 1560 1610 1660 1743 1794 1820 1909 1911 1932 1960 1992 2093 2158 2184 2254 2324 2392 2415 2490 2548 2730 2760 2905 2940 2990 3185 3220 3237 3320 3381 3486 3588 3640 3818 3822 3864 4067 4186 4316 4485 4508 4648 4830 4980 5096 5395 5460 5635 5727 5810 5880 5980 6279 6370 6440 6474 6762 6972 7176 7553 7636 7644 8134 8372 8632 8715 8970 9016 9545 9555 9660 9960 10465 10790 10920 11270 11454 11620 11960 12201 12558 12740 12948 13363 13524 13944 14651 15106 15272 15288 16185 16268 16744 16905 17430 17940 19090 19110 19320 20335 20930 21580 22540 22659 22908 23240 24402 24817 25116 25480 25896 26726 27048 28635 29302 30212 31395 32370 32536 33810 34860 35880 37765 38180 38220 40089 40670 41860 43160 43953 45080 45318 45816 48804 49634 50232 52871 53452 57270 58604 60424 61005 62790 64740 66815 67620 69720 73255 74451 75530 76360 76440 80178 81340 83720 87906 90636 93541 97608 99268 105742 106904 113295 114540 117208 122010 124085 125580 129480 133630 135240 146510 148902 151060 158613 160356 162680 173719 175812 181272 187082 198536 200445 211484 219765 226590 229080 244020 248170 251160 264355 267260 280623 293020 297804 302120 317226 320712 347438 351624 372255 374164 400890 422968 439530 453180 467705 488040 496340 521157 528710 534520 561246 586040 595608 634452 694876 744510 748328 793065 801780 868595 879060 906360 935410 992680 1042314 1057420 1122492 1216033 1268904 1389752 1403115 1489020 1586130 1603560 1737190 1758120 1870820 2084628 2114840 2244984 2432066 2605785 2806230 2978040 3172260 3474380 3648099 3741640 4169256 4864132 5211570 5612460 6080165 6344520 6948760 7296198 9728264 10423140 11224920 12160330 14592396 18240495 20846280 24320660 29184792 36480990 48641320 72961980 145923960
- Sum of all divisors σ(n): 579156480
- Sum of proper divisors (its aliquot sum) s(n): 433232520
- 145923960 is an abundant number, because the sum of its proper divisors (433232520) is greater than itself. Its abundance is 287308560
Bases of 145923960
- Binary: 10001011001010011111011110002
- Hexadecimal: 0x8B29F78
- Base-36: 2EVNNC
Squares and roots of 145923960
- 145923960 squared (1459239602) is 21293802102081600
- 145923960 cubed (1459239603) is 3107275926192071315136000
-
The
square root of 145923960 is 12079.8990062003 -
The
cube root of 145923960 is 526.4723116293
Scales and comparisons
How big is 145923960?- 145,923,960 seconds is equal to 4 years, 33 weeks, 1 day, 22 hours, 26 minutes.
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To count from 1 to 145,923,960 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 145923960 cubic inches would be around 43.9 feet tall.
Recreational maths with 145923960
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