131041414400
131,041,414,400 is an even composite number composed of six prime numbers multiplied together.
131041414400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 131041414400:
28 × 52 × 13 × 23 × 31 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 31 × 47 × 47)See below for interesting mathematical facts about the number 131041414400 from the Numbermatics database.
Names of 131041414400
- Cardinal: 131041414400 can be written as One hundred thirty-one billion, forty-one million, four hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.310414144 × 1011
Factors of 131041414400
Divisors of 131041414400
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 31 32 40 46 47 50 52 62 64 65 80 92 94 100 104 115 124 128 130 155 160 184 188 200 208 230 235 248 256 260 299 310 320 325 368 376 400 403 416 460 470 496 520 575 598 611 620 640 650 713 736 752 775 800 806 832 920 940 992 1040 1081 1150 1175 1196 1222 1240 1280 1300 1426 1457 1472 1495 1504 1550 1600 1612 1664 1840 1880 1984 2015 2080 2162 2209 2300 2350 2392 2444 2480 2600 2852 2914 2944 2990 3008 3055 3100 3200 3224 3328 3565 3680 3760 3968 4030 4160 4324 4418 4600 4700 4784 4888 4960 5200 5405 5704 5828 5888 5980 6016 6110 6200 6400 6448 7130 7285 7360 7475 7520 7936 8060 8320 8648 8836 9200 9269 9400 9568 9776 9920 10075 10400 10810 11045 11408 11656 11960 12032 12220 12400 12896 14053 14260 14570 14720 14950 15040 15275 16120 16640 17296 17672 17825 18400 18538 18800 18941 19136 19552 19840 20150 20800 21620 22090 22816 23312 23920 24440 24800 25792 27025 28106 28520 28717 29140 29440 29900 30080 30550 32240 33511 34592 35344 35650 36425 36800 37076 37600 37882 38272 39104 39680 40300 41600 43240 44180 45632 46345 46624 47840 48880 49600 50807 51584 54050 55225 56212 57040 57434 58280 59800 60160 61100 64480 67022 68479 69184 70265 70688 71300 72850 73600 74152 75200 75764 76544 78208 80600 83200 86480 88360 91264 92690 93248 94705 95680 97760 99200 101614 103168 108100 110450 112424 114080 114868 116560 119600 122200 128960 134044 136958 138368 140530 141376 142600 143585 145700 147200 148304 150400 151528 156416 161200 167555 172960 176720 182528 185380 186496 189410 191360 195520 198400 203228 216200 220900 224848 228160 229736 231725 233120 239200 244400 254035 257920 268088 273916 276736 281060 282752 285200 287170 291400 296608 300800 303056 322400 335110 342395 345920 351325 353440 370760 372992 378820 382720 391040 406456 432400 435643 441800 449696 456320 459472 463450 466240 473525 478400 488800 508070 515840 536176 547832 562120 565504 570400 574340 582800 593216 606112 644800 660491 670220 684790 691840 702650 706880 717925 741520 757640 782080 812912 837775 864800 871286 883600 890227 899392 912640 918944 926900 932480 947050 956800 977600 1016140 1072352 1095664 1124240 1140800 1148680 1165600 1186432 1212224 1270175 1289600 1320982 1340440 1369580 1383680 1405300 1413760 1435850 1483040 1515280 1575017 1625824 1675550 1711975 1729600 1742572 1767200 1780454 1798784 1837888 1853800 1864960 1894100 1913600 1955200 2032280 2144704 2178215 2191328 2248480 2281600 2297360 2331200 2372864 2424448 2540350 2579200 2641964 2680880 2739160 2810600 2827520 2871700 2966080 3030560 3150034 3251648 3302455 3351100 3423950 3459200 3485144 3534400 3560908 3597568 3675776 3707600 3788200 3910400 4064560 4289408 4356430 4382656 4451135 4496960 4563200 4594720 4662400 4848896 5080700 5283928 5361760 5478320 5621200 5743400 5932160 6061120 6300068 6503296 6604910 6702200 6847900 6918400 6970288 7068800 7121816 7351552 7415200 7576400 7875085 8129120 8578816 8712860 8765312 8902270 8993920 9189440 9324800 10161400 10567856 10723520 10891075 10956640 11242400 11486800 11864320 12122240 12600136 13006592 13209820 13404400 13695800 13940576 14137600 14243632 14830400 15152800 15750170 16258240 16512275 17425720 17530624 17804540 17987840 18378880 20322800 20475221 21135712 21447040 21782150 21913280 22255675 22484800 22973600 24244480 25200272 26419640 26808800 27391600 27881152 28487264 29660800 30305600 31500340 32516480 33024550 34851440 35609080 36757760 39375425 40645600 40950442 42271424 42894080 43564300 43826560 44511350 44969600 45947200 50400544 52839280 53617600 54783200 55762304 56974528 59321600 60611200 63000680 65032960 66049100 69702880 71218160 78750850 81291200 81900884 84542848 87128600 87653120 89022700 89939200 91894400 100801088 102376105 105678560 107235200 109566400 111524608 113949056 121222400 126001360 132098200 139405760 142436320 157501700 162582400 163801768 169085696 174257200 178045400 183788800 201602176 204752210 211357120 214470400 219132800 227898112 252002720 264196400 278811520 284872640 315003400 325164800 327603536 348514400 356090800 403204352 409504420 422714240 438265600 504005440 511880525 528392800 557623040 569745280 630006800 655207072 697028800 712181600 819008840 845428480 1008010880 1023761050 1056785600 1139490560 1260013600 1310414144 1394057600 1424363200 1638017680 2016021760 2047522100 2113571200 2520027200 2620828288 2788115200 2848726400 3276035360 4095044200 4227142400 5040054400 5241656576 5697452800 6552070720 8190088400 10080108800 13104141440 16380176800 26208282880 32760353600 65520707200 131041414400
- Sum of all divisors σ(n): 384417729024
- Sum of proper divisors (its aliquot sum) s(n): 253376314624
- 131041414400 is an abundant number, because the sum of its proper divisors (253376314624) is greater than itself. Its abundance is 122334900224
Bases of 131041414400
- Binary: 11110100000101010110101001101000000002
- Hexadecimal: 0x1E82AD4D00
- Base-36: 1O76OAGW
Squares and roots of 131041414400
- 131041414400 squared (1310414144002) is 17171852287952527360000
- 131041414400 cubed (1310414144003) is 2250223811681175265309097984000000
-
The
square root of 131041414400 is 361996.4287116657 -
The
cube root of 131041414400 is 5079.2882215179
Scales and comparisons
How big is 131041414400?- 131,041,414,400 seconds is equal to 4,166 years, 37 weeks, 53 minutes, 20 seconds.
-
To count from 1 to 131,041,414,400 would take you about eight thousand, three hundred thirty-three 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 131041414400 cubic inches would be around 423.3 feet tall.
Recreational maths with 131041414400
- 131041414400 backwards is 004414140131
- 131041414400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131041414400's digits is 23
- More coming soon!
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