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432014614241135 = 51657271119234301
BaseRepresentation
bin110001000111010100011110…
…1100111101001111101101111
32002122122012020021002002121012
41202032220331213221331233
5423111111412221204020
64130452435101055435
7156666011605666622
oct14216507547517557
92078565207062535
10432014614241135
11115720407161172
12405533b025757b
1315709a59b73c13
14789789436ddb9
1534e2a58dea7c5
hex188ea3d9e9f6f

432014614241135 has 16 divisors (see below), whose sum is σ = 518921772034752. Its totient is φ = 345275688672000.

The previous prime is 432014614241117. The next prime is 432014614241233. The reversal of 432014614241135 is 531142416410234.

It is not a de Polignac number, because 432014614241135 - 26 = 432014614241071 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432014614241092 and 432014614241101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12843485 + ... + 32077785.

It is an arithmetic number, because the mean of its divisors is an integer number (32432610752172).

Almost surely, 2432014614241135 is an apocalyptic number.

432014614241135 is a deficient number, since it is larger than the sum of its proper divisors (86907157793617).

432014614241135 is a wasteful number, since it uses less digits than its factorization.

432014614241135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19238674.

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 432014614241135 in words is "four hundred thirty-two trillion, fourteen billion, six hundred fourteen million, two hundred forty-one thousand, one hundred thirty-five".

Divisors: 1 5 1657 2711 8285 13555 4492127 19234301 22460635 96171505 31871236757 52144190011 159356183785 260720950055 86402922848227 432014614241135