148830240
148,830,240 is an even composite number composed of seven prime numbers multiplied together.
148830240 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 148830240:
25 × 3 × 5 × 13 × 17 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 23 × 61)See below for interesting mathematical facts about the number 148830240 from the Numbermatics database.
Names of 148830240
- Cardinal: 148830240 can be written as One hundred forty-eight million, eight hundred thirty thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.4883024 × 108
Factors of 148830240
Divisors of 148830240
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 23 24 26 30 32 34 39 40 46 48 51 52 60 61 65 68 69 78 80 85 92 96 102 104 115 120 122 130 136 138 156 160 170 183 184 195 204 208 221 230 240 244 255 260 272 276 299 305 312 340 345 366 368 390 391 408 416 442 460 480 488 510 520 544 552 598 610 624 663 680 690 732 736 780 782 793 816 884 897 915 920 976 1020 1037 1040 1104 1105 1173 1196 1220 1248 1326 1360 1380 1403 1464 1495 1560 1564 1586 1632 1768 1794 1830 1840 1952 1955 2040 2074 2080 2208 2210 2346 2379 2392 2440 2652 2720 2760 2806 2928 2990 3111 3120 3128 3172 3315 3536 3588 3660 3680 3910 3965 4080 4148 4209 4420 4485 4692 4758 4784 4880 5083 5185 5304 5520 5612 5856 5865 5980 6222 6240 6256 6344 6630 7015 7072 7176 7320 7820 7930 8160 8296 8418 8840 8970 9384 9516 9568 9760 10166 10370 10608 11040 11224 11730 11895 11960 12444 12512 12688 13260 13481 14030 14352 14640 15249 15555 15640 15860 16592 16836 17680 17940 18239 18768 19032 20332 20740 21045 21216 22448 23460 23790 23851 23920 24888 25376 25415 26520 26962 28060 28704 29280 30498 31110 31280 31720 33184 33672 35360 35880 36478 37536 38064 40443 40664 41480 42090 44896 46920 47580 47702 47840 49776 50830 53040 53924 54717 56120 60996 62220 62560 63440 67344 67405 71553 71760 72956 76128 76245 80886 81328 82960 84180 91195 93840 95160 95404 99552 101660 106080 107848 109434 112240 119255 121992 124440 126880 134688 134810 143106 143520 145912 152490 161772 162656 165920 168360 182390 187680 190320 190808 202215 203320 215696 218868 224480 238510 243984 248880 269620 273585 286212 291824 304980 310063 323544 336720 357765 364780 380640 381616 404430 406640 431392 437736 477020 487968 497760 539240 547170 572424 583648 609960 620126 647088 673440 715530 729560 763232 808860 813280 875472 930189 954040 1078480 1094340 1144848 1219920 1240252 1294176 1431060 1459120 1550315 1617720 1750944 1860378 1908080 2156960 2188680 2289696 2439840 2480504 2862120 2918240 3100630 3235440 3720756 3816160 4377360 4650945 4961008 5724240 6201260 6470880 7441512 8754720 9301890 9922016 11448480 12402520 14883024 18603780 24805040 29766048 37207560 49610080 74415120 148830240
- Sum of all divisors σ(n): 566963712
- Sum of proper divisors (its aliquot sum) s(n): 418133472
- 148830240 is an abundant number, because the sum of its proper divisors (418133472) is greater than itself. Its abundance is 269303232
Bases of 148830240
- Binary: 10001101111011111000001000002
- Hexadecimal: 0x8DEF820
- Base-36: 2GLY5C
Squares and roots of 148830240
- 148830240 squared (1488302402) is 22150440338457600
- 148830240 cubed (1488302403) is 3296655351678325837824000
-
The
square root of 148830240 is 12199.5999934425 -
The
cube root of 148830240 is 529.9445058783
Scales and comparisons
How big is 148830240?- 148,830,240 seconds is equal to 4 years, 38 weeks, 13 hours, 44 minutes.
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To count from 1 to 148,830,240 would take you about seven 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 148830240 cubic inches would be around 44.2 feet tall.
Recreational maths with 148830240
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