198248960
198,248,960 is an even composite number composed of six prime numbers multiplied together.
198248960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 198248960:
29 × 5 × 7 × 13 × 23 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 23 × 37)See below for interesting mathematical facts about the number 198248960 from the Numbermatics database.
Names of 198248960
- Cardinal: 198248960 can be written as One hundred ninety-eight million, two hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.9824896 × 108
Factors of 198248960
Divisors of 198248960
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 26 28 32 35 37 40 46 52 56 64 65 70 74 80 91 92 104 112 115 128 130 140 148 160 161 182 184 185 208 224 230 256 259 260 280 296 299 320 322 364 368 370 416 448 455 460 481 512 518 520 560 592 598 640 644 728 736 740 805 832 851 896 910 920 962 1036 1040 1120 1184 1196 1280 1288 1295 1456 1472 1480 1495 1610 1664 1702 1792 1820 1840 1924 2072 2080 2093 2240 2368 2392 2405 2560 2576 2590 2912 2944 2960 2990 3220 3328 3367 3404 3584 3640 3680 3848 4144 4160 4186 4255 4480 4736 4784 4810 5152 5180 5824 5888 5920 5957 5980 6440 6656 6734 6808 7280 7360 7696 8288 8320 8372 8510 8960 9472 9568 9620 10304 10360 10465 11063 11648 11776 11840 11914 11960 12880 13468 13616 14560 14720 15392 16576 16640 16744 16835 17020 17920 18944 19136 19240 20608 20720 20930 22126 23296 23680 23828 23920 25760 26936 27232 29120 29440 29785 30784 33152 33280 33488 33670 34040 38272 38480 41216 41440 41860 44252 46592 47360 47656 47840 51520 53872 54464 55315 58240 58880 59570 61568 66304 66976 67340 68080 76544 76960 77441 82432 82880 83720 88504 94720 95312 95680 103040 107744 108928 110630 116480 119140 123136 132608 133952 134680 136160 153088 153920 154882 165760 167440 177008 190624 191360 206080 215488 217856 221260 232960 238280 246272 267904 269360 272320 307840 309764 331520 334880 354016 381248 382720 387205 412160 430976 435712 442520 476560 535808 538720 544640 615680 619528 663040 669760 708032 762496 765440 774410 861952 885040 953120 1071616 1077440 1089280 1231360 1239056 1339520 1416064 1524992 1548820 1723904 1770080 1906240 2154880 2178560 2478112 2679040 2832128 3049984 3097640 3540160 3812480 4309760 4956224 5358080 5664256 6195280 7080320 7624960 8619520 9912448 12390560 14160640 15249920 19824896 24781120 28321280 39649792 49562240 99124480 198248960
- Sum of all divisors σ(n): 626959872
- Sum of proper divisors (its aliquot sum) s(n): 428710912
- 198248960 is an abundant number, because the sum of its proper divisors (428710912) is greater than itself. Its abundance is 230461952
Bases of 198248960
- Binary: 10111101000100001010000000002
- Hexadecimal: 0xBD10A00
- Base-36: 3A15VK
Squares and roots of 198248960
- 198248960 squared (1982489602) is 39302650141081600
- 198248960 cubed (1982489603) is 7791709515713280475136000
-
The
square root of 198248960 is 14080.0909087973 -
The
cube root of 198248960 is 583.0918517941
Scales and comparisons
How big is 198248960?- 198,248,960 seconds is equal to 6 years, 15 weeks, 5 days, 13 hours, 9 minutes, 20 seconds.
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To count from 1 to 198,248,960 would take you about nine 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 198248960 cubic inches would be around 48.6 feet tall.
Recreational maths with 198248960
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