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214310302032 = 243103233186041
BaseRepresentation
bin1100011110010111100…
…0111011000101010000
3202111011122122100102210
43013211320323011100
512002401414131112
6242241445312120
721324544340121
oct3074570730520
9674148570383
10214310302032
118298563a9a2
1235650105640
1317294cc5008
14a530890048
15589494db3c
hex31e5e3b150

214310302032 has 80 divisors (see below), whose sum is σ = 561412245888. Its totient is φ = 70439208960.

The previous prime is 214310301949. The next prime is 214310302043. The reversal of 214310302032 is 230203013412.

214310302032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058932 + ... + 1244972.

Almost surely, 2214310302032 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 214310302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280706122944).

214310302032 is an abundant number, since it is smaller than the sum of its proper divisors (347101943856).

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

214310302032 is a wasteful number, since it uses less digits than its factorization.

214310302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186388 (or 186382 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 214310302032 its reverse (230203013412), we get a palindrome (444513315444).

The spelling of 214310302032 in words is "two hundred fourteen billion, three hundred ten million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 233 309 412 466 618 699 824 932 1236 1398 1648 1864 2472 2796 3728 4944 5592 11184 23999 47998 71997 95996 143994 186041 191992 287988 372082 383984 558123 575976 744164 1116246 1151952 1488328 2232492 2976656 4464984 8929968 19162223 38324446 43347553 57486669 76648892 86695106 114973338 130042659 153297784 173390212 229946676 260085318 306595568 346780424 459893352 520170636 693560848 919786704 1040341272 2080682544 4464797959 8929595918 13394393877 17859191836 26788787754 35718383672 53577575508 71436767344 107155151016 214310302032