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253124315145 = 34513792232729
BaseRepresentation
bin1110101110111101100…
…0101000100000001001
3220012100200001111210000
43223233120220200021
513121344311041040
6312141140313213
724200441115162
oct3535730504011
9805320044700
10253124315145
1198393093489
12410829a2809
131ab3c44b490
14c373738769
1568b7267130
hex3aef628809

253124315145 has 160 divisors (see below), whose sum is σ = 497239142400. Its totient is φ = 122441020416.

The previous prime is 253124315123. The next prime is 253124315177. The reversal of 253124315145 is 541513421352.

253124315145 is a `hidden beast` number, since 2 + 531 + 2 + 4 + 31 + 51 + 45 = 666.

It is not a de Polignac number, because 253124315145 - 223 = 253115926537 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92752141 + ... + 92754869.

It is an arithmetic number, because the mean of its divisors is an integer number (3107744640).

Almost surely, 2253124315145 is an apocalyptic number.

It is an amenable number.

253124315145 is a deficient number, since it is larger than the sum of its proper divisors (244114827255).

253124315145 is a wasteful number, since it uses less digits than its factorization.

253124315145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3052 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 253124315145 its reverse (541513421352), we get a palindrome (794637736497).

The spelling of 253124315145 in words is "two hundred fifty-three billion, one hundred twenty-four million, three hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 79 81 117 135 195 223 237 351 395 405 585 669 711 1027 1053 1115 1185 1755 2007 2133 2729 2899 3081 3345 3555 5135 5265 6021 6399 8187 8697 9243 10035 10665 13645 14495 15405 17617 18063 24561 26091 27729 30105 31995 35477 40935 43485 46215 52851 73683 78273 83187 88085 90315 106431 122805 130455 138645 158553 177385 215591 221049 229021 234819 264255 319293 368415 391365 415935 475659 532155 608567 646773 687063 792765 957879 1077955 1105245 1145105 1174095 1426977 1596465 1825701 1940319 2061189 2378295 2802683 2873637 3042835 3233865 3435315 4789395 5477103 5820957 6183567 7134885 7911371 8408049 9128505 9701595 10305945 14013415 14368185 16431309 17462871 18550701 23734113 25224147 27385515 29104785 30917835 39556855 42040245 48076793 49293927 71202339 75672441 82156545 87314355 92753505 118670565 126120735 144230379 213607017 227017323 240383965 246469635 356011695 378362205 432691137 624998309 640821051 721151895 1068035085 1135086615 1298073411 1874994927 2163455685 3124991545 3204105255 3894220233 5624984781 6490367055 9374974635 16874954343 19471101165 28124923905 50624863029 84374771715 253124315145