131245920
131,245,920 is an even composite number composed of six prime numbers multiplied together.
131245920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 131245920:
25 × 34 × 5 × 13 × 19 × 41
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 19 × 41)See below for interesting mathematical facts about the number 131245920 from the Numbermatics database.
Names of 131245920
- Cardinal: 131245920 can be written as One hundred thirty-one million, two hundred forty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3124592 × 108
Factors of 131245920
Divisors of 131245920
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 41 45 48 52 54 57 60 65 72 76 78 80 81 82 90 95 96 104 108 114 117 120 123 130 135 144 152 156 160 162 164 171 180 190 195 205 208 216 228 234 240 246 247 260 270 285 288 304 312 324 328 342 351 360 369 380 390 405 410 416 432 456 468 480 492 494 513 520 533 540 570 585 608 615 624 648 656 684 702 720 738 741 760 779 780 810 820 855 864 912 936 984 988 1026 1040 1053 1066 1080 1107 1140 1170 1230 1235 1248 1296 1312 1368 1404 1440 1476 1482 1520 1539 1558 1560 1599 1620 1640 1710 1755 1824 1845 1872 1968 1976 2052 2080 2106 2132 2160 2214 2223 2280 2337 2340 2460 2470 2565 2592 2665 2736 2808 2952 2964 3040 3078 3116 3120 3198 3240 3280 3321 3420 3510 3690 3705 3744 3895 3936 3952 4104 4212 4264 4320 4428 4446 4560 4674 4680 4797 4920 4940 5130 5265 5330 5472 5535 5616 5904 5928 6156 6232 6240 6396 6480 6560 6642 6669 6840 7011 7020 7380 7410 7695 7790 7904 7995 8208 8424 8528 8856 8892 9120 9348 9360 9594 9840 9880 10127 10260 10530 10660 11070 11115 11232 11685 11808 11856 12312 12464 12792 12960 13284 13338 13680 14022 14040 14391 14760 14820 15390 15580 15990 16416 16605 16848 17056 17712 17784 18696 18720 19188 19680 19760 20007 20254 20520 21033 21060 21320 22140 22230 23370 23712 23985 24624 24928 25584 26568 26676 27360 28044 28080 28782 29520 29640 30381 30780 31160 31980 33210 33345 33696 35055 35424 35568 37392 38376 39520 40014 40508 41040 42066 42120 42640 43173 44280 44460 46740 47970 49248 50635 51168 53136 53352 56088 56160 57564 59040 59280 60762 61560 62320 63099 63960 66420 66690 70110 71136 71955 74784 76752 80028 81016 82080 84132 84240 85280 86346 88560 88920 91143 93480 95940 100035 101270 105165 106272 106704 112176 115128 118560 121524 123120 124640 126198 127920 132840 133380 140220 143910 151905 153504 160056 162032 168264 168480 172692 177120 177840 182286 186960 191880 200070 202540 210330 213408 215865 224352 230256 243048 246240 252396 255840 265680 266760 273429 280440 287820 303810 315495 320112 324064 336528 345384 355680 364572 373920 383760 400140 405080 420660 431730 455715 460512 486096 504792 531360 533520 546858 560880 575640 607620 630990 640224 673056 690768 729144 767520 800280 810160 820287 841320 863460 911430 972192 1009584 1067040 1093716 1121760 1151280 1215240 1261980 1367145 1381536 1458288 1600560 1620320 1640574 1682640 1726920 1822860 2019168 2187432 2302560 2430480 2523960 2734290 2916576 3201120 3281148 3365280 3453840 3645720 4101435 4374864 4860960 5047920 5468580 6562296 6907680 7291440 8202870 8749728 10095840 10937160 13124592 14582880 16405740 21874320 26249184 32811480 43748640 65622960 131245920
- Sum of all divisors σ(n): 537878880
- Sum of proper divisors (its aliquot sum) s(n): 406632960
- 131245920 is an abundant number, because the sum of its proper divisors (406632960) is greater than itself. Its abundance is 275387040
Bases of 131245920
- Binary: 1111101001010100111011000002
- Hexadecimal: 0x7D2A760
- Base-36: 265200
Squares and roots of 131245920
- 131245920 squared (1312459202) is 17225491516646400
- 131245920 cubed (1312459203) is 2260775481554452082688000
-
The
square root of 131245920 is 11456.2611702073 -
The
cube root of 131245920 is 508.1929124515
Scales and comparisons
How big is 131245920?- 131,245,920 seconds is equal to 4 years, 9 weeks, 1 hour, 12 minutes.
-
To count from 1 to 131,245,920 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 131245920 cubic inches would be around 42.3 feet tall.
Recreational maths with 131245920
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