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32140413432 = 23323391131641
BaseRepresentation
bin11101111011101101…
…111100100111111000
310001221220212011121200
4131323231330213320
51011310421212212
622433132334200
72215320002151
oct357355744770
9101856764550
1032140413432
11126a3475356
12628b914360
133052962a1a
1417ac814928
15c819c56dc
hex77bb7c9f8

32140413432 has 48 divisors (see below), whose sum is σ = 87073284480. Its totient is φ = 10710230400.

The previous prime is 32140413427. The next prime is 32140413439. The reversal of 32140413432 is 23431404123.

32140413432 is a `hidden beast` number, since 3 + 214 + 0 + 4 + 13 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32140413396 and 32140413405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32140413439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178332 + ... + 309972.

It is an arithmetic number, because the mean of its divisors is an integer number (1814026760).

Almost surely, 232140413432 is an apocalyptic number.

It is an amenable number.

32140413432 is an abundant number, since it is smaller than the sum of its proper divisors (54932871048).

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

32140413432 is a wasteful number, since it uses less digits than its factorization.

32140413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135044 (or 135037 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32140413432 its reverse (23431404123), we get a palindrome (55571817555).

The spelling of 32140413432 in words is "thirty-two billion, one hundred forty million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3391 6782 10173 13564 20346 27128 30519 40692 61038 81384 122076 131641 244152 263282 394923 526564 789846 1053128 1184769 1579692 2369538 3159384 4739076 9478152 446394631 892789262 1339183893 1785578524 2678367786 3571157048 4017551679 5356735572 8035103358 10713471144 16070206716 32140413432