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13140432414 = 2331937346147
BaseRepresentation
bin11000011110011101…
…10001011000011110
31020220210001010112000
430033032301120132
5203402422314124
610011525023130
7643426555404
oct141716613036
936823033460
1013140432414
1156334823aa
122668854aa6
131315500ac5
148c9283474
1551d9416c9
hex30f3b161e

13140432414 has 64 divisors (see below), whose sum is σ = 31568697600. Its totient is φ = 4037446944.

The previous prime is 13140432343. The next prime is 13140432439. The reversal of 13140432414 is 41423404131.

13140432414 is a `hidden beast` number, since 13 + 1 + 404 + 3 + 241 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135112 + ... + 211035.

It is an arithmetic number, because the mean of its divisors is an integer number (493260900).

Almost surely, 213140432414 is an apocalyptic number.

13140432414 is an abundant number, since it is smaller than the sum of its proper divisors (18428265186).

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

13140432414 is a wasteful number, since it uses less digits than its factorization.

13140432414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346214 (or 346208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13140432414 its reverse (41423404131), we get a palindrome (54563836545).

The spelling of 13140432414 in words is "thirteen billion, one hundred forty million, four hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 666 703 999 1026 1406 1998 2109 4218 6327 12654 18981 37962 346147 692294 1038441 2076882 3115323 6230646 6576793 9345969 12807439 13153586 18691938 19730379 25614878 38422317 39460758 59191137 76844634 115266951 118382274 177573411 230533902 243341341 345800853 355146822 486682682 691601706 730024023 1460048046 2190072069 4380144138 6570216207 13140432414