131804064
131,804,064 is an even composite number composed of six prime numbers multiplied together.
131804064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131804064:
25 × 33 × 7 × 19 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 31 × 37)See below for interesting mathematical facts about the number 131804064 from the Numbermatics database.
Names of 131804064
- Cardinal: 131804064 can be written as One hundred thirty-one million, eight hundred four thousand and sixty-four.
Scientific notation
- Scientific notation: 1.31804064 × 108
Factors of 131804064
Divisors of 131804064
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 31 32 36 37 38 42 48 54 56 57 62 63 72 74 76 84 93 96 108 111 112 114 124 126 133 144 148 152 168 171 186 189 216 217 222 224 228 248 252 259 266 279 288 296 304 333 336 342 372 378 399 432 434 444 456 496 504 513 518 532 558 589 592 608 651 666 672 684 703 744 756 777 798 837 864 868 888 912 992 999 1008 1026 1036 1064 1116 1147 1178 1184 1197 1302 1332 1368 1406 1488 1512 1554 1596 1674 1736 1767 1776 1824 1953 1998 2016 2052 2072 2109 2128 2232 2294 2331 2356 2394 2604 2664 2736 2812 2976 3024 3108 3192 3348 3441 3472 3534 3552 3591 3906 3996 4104 4123 4144 4218 4256 4464 4588 4662 4712 4788 4921 5208 5301 5328 5472 5624 5859 6048 6216 6327 6384 6696 6882 6944 6993 7068 7182 7812 7992 8029 8208 8246 8288 8436 8928 9176 9324 9424 9576 9842 10323 10416 10602 10656 11248 11718 12369 12432 12654 12768 13392 13764 13986 14136 14364 14763 15624 15903 15984 16058 16416 16492 16872 18352 18648 18848 18981 19152 19684 20646 20832 21204 21793 22496 23436 24087 24738 24864 25308 26784 27528 27972 28272 28728 29526 30969 31248 31806 31968 32116 32984 33744 36704 37107 37296 37962 38304 39368 41292 42408 43586 44289 46872 48174 49476 50616 55056 55944 56544 57456 59052 61938 62496 63612 64232 65379 65968 67488 72261 74214 74592 75924 78736 82584 84816 87172 88578 93744 96348 98952 101232 110112 111321 111888 114912 118104 123876 127224 128464 130758 131936 132867 144522 148428 151848 152551 157472 165168 169632 174344 177156 187488 192696 196137 197904 202464 216783 222642 223776 236208 247752 254448 256928 261516 265734 289044 296856 303696 305102 330336 348688 354312 385392 392274 395808 433566 445284 457653 472416 495504 508896 523032 531468 578088 588411 593712 607392 610204 697376 708624 770784 784548 867132 890568 915306 991008 1046064 1062936 1156176 1176822 1187424 1220408 1372959 1417248 1569096 1734264 1781136 1830612 2092128 2125872 2312352 2353644 2440816 2745918 3138192 3468528 3562272 3661224 4118877 4251744 4707288 4881632 5491836 6276384 6937056 7322448 8237754 9414576 10983672 14644896 16475508 18829152 21967344 32951016 43934688 65902032 131804064
- Sum of all divisors σ(n): 490291200
- Sum of proper divisors (its aliquot sum) s(n): 358487136
- 131804064 is an abundant number, because the sum of its proper divisors (358487136) is greater than itself. Its abundance is 226683072
Bases of 131804064
- Binary: 1111101101100101011101000002
- Hexadecimal: 0x7DB2BA0
- Base-36: 26H0O0
Squares and roots of 131804064
- 131804064 squared (1318040642) is 17372311286916096
- 131804064 cubed (1318040643) is 2289741228688611479814144
-
The
square root of 131804064 is 11480.5951065265 -
The
cube root of 131804064 is 508.9122838697
Scales and comparisons
How big is 131804064?- 131,804,064 seconds is equal to 4 years, 9 weeks, 6 days, 12 hours, 14 minutes, 24 seconds.
-
To count from 1 to 131,804,064 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 131804064 cubic inches would be around 42.4 feet tall.
Recreational maths with 131804064
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