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214340020432 = 24171291610391
BaseRepresentation
bin1100011110011110101…
…0010010100011010000
3202111020201120012102021
43013213222102203100
512002432021123212
6242244430301224
721325355053516
oct3074752224320
9674221505367
10214340020432
11829a039885a
123565a057814
131729b1cba75
14a5347c84b6
15589736e307
hex31e7a928d0

214340020432 has 40 divisors (see below), whose sum is σ = 440053566912. Its totient is φ = 100787596800.

The previous prime is 214340020421. The next prime is 214340020439. The reversal of 214340020432 is 234020043412.

It is a happy number.

214340020432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214340020397 and 214340020406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214340020439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45957 + ... + 656347.

Almost surely, 2214340020432 is an apocalyptic number.

It is an amenable number.

214340020432 is an abundant number, since it is smaller than the sum of its proper divisors (225713546480).

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

214340020432 is a wasteful number, since it uses less digits than its factorization.

214340020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611707 (or 611701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 214340020432 its reverse (234020043412), we get a palindrome (448360063844).

The spelling of 214340020432 in words is "two hundred fourteen billion, three hundred forty million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 1291 2582 5164 10328 20656 21947 43894 87788 175576 351152 610391 1220782 2441564 4883128 9766256 10376647 20753294 41506588 83013176 166026352 788014781 1576029562 3152059124 6304118248 12608236496 13396251277 26792502554 53585005108 107170010216 214340020432