133948100
133,948,100 is an even composite number composed of seven prime numbers multiplied together.
133948100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 133948100:
22 × 52 × 11 × 13 × 17 × 19 × 29
(2 × 2 × 5 × 5 × 11 × 13 × 17 × 19 × 29)See below for interesting mathematical facts about the number 133948100 from the Numbermatics database.
Names of 133948100
- Cardinal: 133948100 can be written as One hundred thirty-three million, nine hundred forty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 1.339481 × 108
Factors of 133948100
Divisors of 133948100
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 10 11 13 17 19 20 22 25 26 29 34 38 44 50 52 55 58 65 68 76 85 95 100 110 116 130 143 145 170 187 190 209 220 221 247 260 275 286 290 319 323 325 340 374 377 380 418 425 442 475 493 494 550 551 572 580 638 646 650 715 725 748 754 836 850 884 935 950 986 988 1045 1100 1102 1105 1235 1276 1292 1300 1430 1450 1508 1595 1615 1700 1870 1885 1900 1972 2090 2204 2210 2431 2465 2470 2717 2755 2860 2900 3190 3230 3553 3575 3740 3770 4147 4180 4199 4420 4675 4862 4930 4940 5225 5423 5434 5510 5525 6061 6175 6380 6409 6460 7106 7150 7163 7540 7975 8075 8294 8398 9350 9367 9425 9724 9860 10450 10846 10868 11020 11050 12122 12155 12325 12350 12818 13585 13775 14212 14300 14326 15950 16150 16588 16796 17765 18700 18734 18850 20735 20900 20995 21692 22100 24244 24310 24650 24700 25636 27115 27170 27550 28652 30305 31900 32045 32300 35530 35815 37468 37700 41470 41990 46189 46835 48620 49300 54230 54340 55100 60610 60775 64090 67925 70499 71060 71630 78793 82940 83980 88825 92378 93670 103037 103675 104975 108460 121220 121550 121771 128180 135575 135850 140998 143260 151525 157586 160225 177650 179075 184756 187340 206074 207350 209950 230945 234175 243100 243542 271150 271700 281996 303050 315172 320450 352495 355300 358150 393965 412148 414700 419900 461890 468350 487084 515185 542300 606100 608855 640900 704990 716300 787930 923780 936700 1030370 1154725 1217710 1339481 1409980 1575860 1762475 1969825 2060740 2309450 2435420 2575925 2678962 3044275 3524950 3939650 4618900 5151850 5357924 6088550 6697405 7049900 7879300 10303700 12177100 13394810 26789620 33487025 66974050 133948100
- Sum of all divisors σ(n): 393724800
- Sum of proper divisors (its aliquot sum) s(n): 259776700
- 133948100 is an abundant number, because the sum of its proper divisors (259776700) is greater than itself. Its abundance is 125828600
Bases of 133948100
- Binary: 1111111101111100010110001002
- Hexadecimal: 0x7FBE2C4
- Base-36: 27QZ0K
Squares and roots of 133948100
- 133948100 squared (1339481002) is 17942093493610000
- 133948100 cubed (1339481003) is 2403309333491421641000000
-
The
square root of 133948100 is 11573.5949471201 -
The
cube root of 133948100 is 511.6569204301
Scales and comparisons
How big is 133948100?- 133,948,100 seconds is equal to 4 years, 13 weeks, 3 days, 7 hours, 48 minutes, 20 seconds.
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To count from 1 to 133,948,100 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 133948100 cubic inches would be around 42.6 feet tall.
Recreational maths with 133948100
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