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214123940736 = 273655385093
BaseRepresentation
bin1100011101101011001…
…0000000101110000000
3202110200122222012210120
43013122302000232000
512002011212100421
6242211151100240
721320122315536
oct3073262005600
9673618865716
10214123940736
118289a4229a2
12355b9811680
1317265504864
14a513c1c156
1558833da8c6
hex31dac80b80

214123940736 has 64 divisors (see below), whose sum is σ = 568860197520. Its totient is φ = 71362916352.

The previous prime is 214123940731. The next prime is 214123940753. The reversal of 214123940736 is 637049321412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214123940731) 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, 2473806 + ... + 2558898.

Almost surely, 2214123940736 is an apocalyptic number.

It is an amenable number.

214123940736 is an abundant number, since it is smaller than the sum of its proper divisors (354736256784).

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

214123940736 is an equidigital number, since it uses as much as digits as its factorization.

214123940736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91663 (or 91651 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 214123940736 in words is "two hundred fourteen billion, one hundred twenty-three million, nine hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 6553 13106 19659 26212 39318 52424 78636 85093 104848 157272 170186 209696 255279 314544 340372 419392 510558 629088 680744 838784 1021116 1258176 1361488 2042232 2516352 2722976 4084464 5445952 8168928 10891904 16337856 32675712 557614429 1115228858 1672843287 2230457716 3345686574 4460915432 6691373148 8921830864 13382746296 17843661728 26765492592 35687323456 53530985184 71374646912 107061970368 214123940736