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214113868032 = 283631441829
BaseRepresentation
bin1100011101101000101…
…1100101100100000000
3202110122222000110122110
43013122023211210000
512002001122234112
6242210151135320
721316640564211
oct3073213454400
9673588013573
10214113868032
1182894773149
12355b6374540
13172633b8b8c
14a512759408
15588259b13c
hex31da2e5900

214113868032 has 72 divisors (see below), whose sum is σ = 570759528640. Its totient is φ = 71258019840.

The previous prime is 214113868027. The next prime is 214113868079. The reversal of 214113868032 is 230868311412.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263694 + ... + 705522.

Almost surely, 2214113868032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214113868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285379764320).

214113868032 is an abundant number, since it is smaller than the sum of its proper divisors (356645660608).

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

214113868032 is an equidigital number, since it uses as much as digits as its factorization.

214113868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442479 (or 442465 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 214113868032 in words is "two hundred fourteen billion, one hundred thirteen million, eight hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 631 768 1262 1893 2524 3786 5048 7572 10096 15144 20192 30288 40384 60576 80768 121152 161536 242304 441829 484608 883658 1325487 1767316 2650974 3534632 5301948 7069264 10603896 14138528 21207792 28277056 42415584 56554112 84831168 113108224 169662336 278794099 339324672 557588198 836382297 1115176396 1672764594 2230352792 3345529188 4460705584 6691058376 8921411168 13382116752 17842822336 26764233504 35685644672 53528467008 71371289344 107056934016 214113868032