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13134414131004 = 2237119379875539
BaseRepresentation
bin1011111100100001100000…
…0101101010111100111100
31201111122012220101212021210
42333020120011222330330
53210143240004143004
643533511101524420
72523634012020345
oct277103005527474
951448186355253
1013134414131004
1142043013aa881
121581654873710
137437541ccb8a
143359cd8470cc
1517b9c9cc6089
hexbf21816af3c

13134414131004 has 48 divisors (see below), whose sum is σ = 31239643196160. Its totient is φ = 4294108922880.

The previous prime is 13134414130969. The next prime is 13134414131063. The reversal of 13134414131004 is 40013141443131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39773334 + ... + 40102205.

It is an arithmetic number, because the mean of its divisors is an integer number (650825899920).

Almost surely, 213134414131004 is an apocalyptic number.

It is an amenable number.

13134414131004 is an abundant number, since it is smaller than the sum of its proper divisors (18105229065156).

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

13134414131004 is a wasteful number, since it uses less digits than its factorization.

13134414131004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79875810 (or 79875808 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13134414131004 its reverse (40013141443131), we get a palindrome (53147555574135).

It can be divided in two parts, 1313441 and 4131004, that added together give a palindrome (5444445).

The spelling of 13134414131004 in words is "thirteen trillion, one hundred thirty-four billion, four hundred fourteen million, one hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 12 71 142 193 213 284 386 426 579 772 852 1158 2316 13703 27406 41109 54812 82218 164436 79875539 159751078 239626617 319502156 479253234 958506468 5671163269 11342326538 15415979027 17013489807 22684653076 30831958054 34026979614 46247937081 61663916108 68053959228 92495874162 184991748324 1094534510917 2189069021834 3283603532751 4378138043668 6567207065502 13134414131004