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131414241042 = 23272345346529
BaseRepresentation
bin111101001100011100…
…1100010111100010010
3110120012111002010121200
41322120321202330102
54123114021203132
6140212035132030
712331365422040
oct1723071427422
9416174063550
10131414241042
1150806a05387
1221576444016
13c513b9b356
146509247390
1536420bcd7c
hex1e98e62f12

131414241042 has 48 divisors (see below), whose sum is σ = 339554816640. Its totient is φ = 35914450176.

The previous prime is 131414241029. The next prime is 131414241043. The reversal of 131414241042 is 240142414131.

131414241042 is a `hidden beast` number, since 1 + 3 + 1 + 414 + 241 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131414240997 and 131414241015.

It is not an unprimeable number, because it can be changed into a prime (131414241043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22670367 + ... + 22676162.

It is an arithmetic number, because the mean of its divisors is an integer number (7074058680).

Almost surely, 2131414241042 is an apocalyptic number.

131414241042 is an abundant number, since it is smaller than the sum of its proper divisors (208140575598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131414241042 is a wasteful number, since it uses less digits than its factorization.

131414241042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45346567 (or 45346564 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131414241042 its reverse (240142414131), we get a palindrome (371556655173).

The spelling of 131414241042 in words is "one hundred thirty-one billion, four hundred fourteen million, two hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 45346529 90693058 136039587 272079174 317425703 408118761 634851406 816237522 952277109 1042970167 1904554218 2085940334 2856831327 3128910501 5713662654 6257821002 7300791169 9386731503 14601582338 18773463006 21902373507 43804747014 65707120521 131414241042