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141379524 = 2232111329947
BaseRepresentation
bin10000110110101…
…00011111000100
3100212000211020200
420123110133010
5242143121044
622010130500
73334464126
oct1033243704
9325024220
10141379524
1172894590
123b420a30
13233a1230
1414ac3216
15c62a369
hex86d47c4

141379524 has 144 divisors (see below), whose sum is σ = 434790720. Its totient is φ = 38142720.

The previous prime is 141379519. The next prime is 141379529. The reversal of 141379524 is 425973141.

It is an interprime number because it is at equal distance from previous prime (141379519) and next prime (141379529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141379529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148819 + ... + 149765.

It is an arithmetic number, because the mean of its divisors is an integer number (3019380).

Almost surely, 2141379524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141379524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217395360).

141379524 is an abundant number, since it is smaller than the sum of its proper divisors (293411196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141379524 is a wasteful number, since it uses less digits than its factorization.

141379524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1005 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 141379524 is about 11890.3121910234. The cubic root of 141379524 is about 520.9493554661.

The spelling of 141379524 in words is "one hundred forty-one million, three hundred seventy-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 33 36 39 44 52 58 66 78 87 99 116 117 132 143 156 174 198 234 261 286 319 348 377 396 429 468 522 572 638 754 858 947 957 1044 1131 1276 1287 1508 1716 1894 1914 2262 2574 2841 2871 3393 3788 3828 4147 4524 5148 5682 5742 6786 8294 8523 10417 11364 11484 12311 12441 13572 16588 17046 20834 24622 24882 27463 31251 34092 36933 37323 41668 49244 49764 54926 62502 73866 74646 82389 93753 109852 110799 125004 135421 147732 149292 164778 187506 221598 247167 270842 302093 329556 357019 375012 406263 443196 494334 541684 604186 714038 812526 906279 988668 1071057 1208372 1218789 1428076 1625052 1812558 2142114 2437578 2718837 3213171 3625116 3927209 4284228 4875156 5437674 6426342 7854418 10875348 11781627 12852684 15708836 23563254 35344881 47126508 70689762 141379524