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114525251022141 = 33192068211079417
BaseRepresentation
bin11010000010100011111100…
…111001111010110100111101
3120000111111200122201000202000
4122002203330321322310331
5110002340203230202031
61043324101330052513
733060114324533601
oct3202437471726475
9500444618630660
10114525251022141
11335449825979a3
1210a17916a1a139
134bb98b9760b7b
14203d0a1d11501
15d390e805a3e6
hex6828fce7ad3d

114525251022141 has 32 divisors (see below), whose sum is σ = 178597911676800. Its totient is φ = 72331320746880.

The previous prime is 114525251022089. The next prime is 114525251022173. The reversal of 114525251022141 is 141220152525411.

114525251022141 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 525 + 102 + 21 + 4 + 1 = 666.

It is not a de Polignac number, because 114525251022141 - 213 = 114525251013949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114525251022096 and 114525251022105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114525251022191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105559465 + ... + 106638881.

It is an arithmetic number, because the mean of its divisors is an integer number (5581184739900).

Almost surely, 2114525251022141 is an apocalyptic number.

It is an amenable number.

114525251022141 is a deficient number, since it is larger than the sum of its proper divisors (64072660654659).

114525251022141 is a wasteful number, since it uses less digits than its factorization.

114525251022141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286266 (or 1286260 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 114525251022141 in words is "one hundred fourteen trillion, five hundred twenty-five billion, two hundred fifty-one million, twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 206821 620463 1079417 1861389 3238251 3929599 5584167 9714753 11788797 20508923 29144259 35366391 61526769 106099173 184580307 553740921 223246103357 669738310071 2009214930213 4241675963783 6027644790639 12725027891349 38175083674047 114525251022141