Search a number
-
+
142326143451525 = 352111279235157373
BaseRepresentation
bin100000010111000111100011…
…001110010000000110000101
3200122221020122122112100201210
4200113013203032100012011
5122123332420210422100
61222411421102042033
741656503341266005
oct4027074316200605
9618836578470653
10142326143451525
11413931a65a8410
1213b67915579319
1361553b41923c7
14272089d076005
15116c369e15c50
hex8171e3390185

142326143451525 has 96 divisors (see below), whose sum is σ = 257019069726720. Its totient is φ = 68922131040000.

The previous prime is 142326143451463. The next prime is 142326143451643. The reversal of 142326143451525 is 525154341623241.

It is a happy number.

It is not a de Polignac number, because 142326143451525 - 213 = 142326143443333 is a prime.

It is a super-2 number, since 2×1423261434515252 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2480687739 + ... + 2480745111.

It is an arithmetic number, because the mean of its divisors is an integer number (2677281976320).

Almost surely, 2142326143451525 is an apocalyptic number.

142326143451525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142326143451525 is a deficient number, since it is larger than the sum of its proper divisors (114692926275195).

142326143451525 is a wasteful number, since it uses less digits than its factorization.

142326143451525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61027 (or 61022 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 142326143451525 in words is "one hundred forty-two trillion, three hundred twenty-six billion, one hundred forty-three million, four hundred fifty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1279 2351 3837 6395 7053 11755 14069 19185 25861 31975 35265 42207 57373 58775 70345 77583 95925 129305 172119 176325 211035 286865 351725 387915 631103 646525 860595 1055175 1434325 1893309 1939575 3006929 3155515 4302975 9020787 9466545 15034645 15777575 33076219 45103935 47332725 73380067 75173225 99228657 134883923 165381095 220140201 225519675 366900335 404651769 496143285 674419615 807180737 826905475 1100701005 1483723153 1834501675 2023258845 2421542211 2480716425 3372098075 4035903685 4451169459 5503505025 7418615765 10116294225 12107711055 20179518425 22255847295 37093078825 60538555275 111279236475 172516537517 517549612551 862582687585 1897681912687 2587748062755 4312913437925 5693045738061 9488409563435 12938740313775 28465228690305 47442047817175 142326143451525