Search a number
-
+
230214363412032 = 26321047793814483
BaseRepresentation
bin110100010110000011110101…
…010110100111011001000000
31010012010021111210220102201100
4310112003311112213121000
5220133313004013141112
62133343004000334400
766330303351653616
oct6426036526473100
91105107453812640
10230214363412032
11673983aa51965a
12219a1104614400
139b5c1766c9c6c
1440bc6129276b6
151b9360d2a82dc
hexd160f55a7640

230214363412032 has 84 divisors (see below), whose sum is σ = 659874376941520. Its totient is φ = 76737368639232.

The previous prime is 230214363411961. The next prime is 230214363412051.

230214363412032 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 1 + 4 + 3 + 634 + 12 + 0 + 3 + 2 = 666.

230214363412032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58445463 + ... + 62259945.

Almost surely, 2230214363412032 is an apocalyptic number.

It is an amenable number.

230214363412032 is an abundant number, since it is smaller than the sum of its proper divisors (429660013529488).

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

230214363412032 is a wasteful number, since it uses less digits than its factorization.

230214363412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919280 (or 3919267 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 230214363412032 in words is "two hundred thirty trillion, two hundred fourteen billion, three hundred sixty-three million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 104779 209558 314337 419116 628674 838232 943011 1257348 1676464 1886022 2514696 3352928 3772044 3814483 5029392 6705856 7544088 7628966 10058784 11443449 15088176 15257932 20117568 22886898 30176352 30515864 34330347 45773796 60352704 61031728 68660694 91547592 122063456 137321388 183095184 244126912 274642776 366190368 549285552 732380736 1098571104 2197142208 399677714257 799355428514 1199033142771 1598710857028 2398066285542 3197421714056 3597099428313 4796132571084 6394843428112 7194198856626 9592265142168 12789686856224 14388397713252 19184530284336 25579373712448 28776795426504 38369060568672 57553590853008 76738121137344 115107181706016 230214363412032