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144052121125 = 53115910117581
BaseRepresentation
bin1000011000101000101…
…1001110111000100101
3111202211020110221221101
42012022023032320211
54330004320334000
6150102052520101
713256513553343
oct2061213167045
9452736427841
10144052121125
1156101737780
1223b02920031
13107792323c3
146d8786c993
153b3183ee6a
hex218a2cee25

144052121125 has 64 divisors (see below), whose sum is σ = 201430644480. Its totient is φ = 101964000000.

The previous prime is 144052121119. The next prime is 144052121177. The reversal of 144052121125 is 521121250441.

It is not a de Polignac number, because 144052121125 - 25 = 144052121093 is a prime.

It is a super-2 number, since 2×1440521211252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144052121093 and 144052121102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8184835 + ... + 8202415.

It is an arithmetic number, because the mean of its divisors is an integer number (3147353820).

Almost surely, 2144052121125 is an apocalyptic number.

It is an amenable number.

144052121125 is a deficient number, since it is larger than the sum of its proper divisors (57378523355).

144052121125 is a wasteful number, since it uses less digits than its factorization.

144052121125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17767 (or 17757 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 144052121125 its reverse (521121250441), we get a palindrome (665173371566).

The spelling of 144052121125 in words is "one hundred forty-four billion, fifty-two million, one hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 59 101 125 275 295 505 649 1111 1375 1475 2525 3245 5555 5959 7375 12625 16225 17581 27775 29795 65549 81125 87905 138875 148975 193391 327745 439525 744875 966955 1037279 1638725 1775681 2197625 4834775 5186395 8193625 8878405 11410069 19532491 24173875 25931975 44392025 57050345 97662455 104765179 129659875 221960125 285251725 488312275 523825895 1152416969 1426258625 2441561375 2619129475 5762084845 13095647375 28810424225 144052121125