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245114050134141 = 32233127727915139
BaseRepresentation
bin110111101110111000001111…
…111000110100000001111101
31012010212200012121010022020100
4313232320033320310001331
5224111422033313243031
62225151501244311313
7102425622443314266
oct6756701770640175
91163780177108210
10245114050134141
1171112315210791
12235a88b3542539
13a6a0204240676
14447582490d96d
151d50ea3e4ede6
hexdeee0fe3407d

245114050134141 has 24 divisors (see below), whose sum is σ = 355576343840640. Its totient is φ = 162706587333696.

The previous prime is 245114050134127. The next prime is 245114050134223. The reversal of 245114050134141 is 141431050411542.

245114050134141 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 1 + 4 + 0 + 501 + 3 + 4 + 141 = 666.

It is not a de Polignac number, because 245114050134141 - 225 = 245114016579709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 245114050134096 and 245114050134105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245114040134141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267385950 + ... + 268301088.

It is an arithmetic number, because the mean of its divisors is an integer number (14815680993360).

Almost surely, 2245114050134141 is an apocalyptic number.

It is an amenable number.

245114050134141 is a deficient number, since it is larger than the sum of its proper divisors (110462293706499).

245114050134141 is a wasteful number, since it uses less digits than its factorization.

245114050134141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043105 (or 1043102 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 245114050134141 in words is "two hundred forty-five trillion, one hundred fourteen billion, fifty million, one hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 233 699 2097 127727 383181 915139 1149543 2745417 8236251 29760391 89281173 213227387 267843519 639682161 1919046483 116887959053 350663877159 1051991631477 27234894459349 81704683378047 245114050134141