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214201250302432 = 25103315412060437
BaseRepresentation
bin110000101101000010011101…
…011011110100100111100000
31001002102102212102111122022211
4300231002131123310213200
5211033433130034134212
62035322410153011504
763055346444224651
oct6055023533644740
91032372772448284
10214201250302432
1162284270642928
12200357793b3b94
13926a125589403
143ac7578239528
1519b6ced0869a7
hexc2d09d6f49e0

214201250302432 has 48 divisors (see below), whose sum is σ = 425816677514592. Its totient is φ = 106057399150080.

The previous prime is 214201250302399. The next prime is 214201250302561. The reversal of 214201250302432 is 234203052102412.

It is a happy number.

It is a super-2 number, since 2×2142012503024322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214201250302394 and 214201250302403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102928918 + ... + 104989354.

It is an arithmetic number, because the mean of its divisors is an integer number (8871180781554).

Almost surely, 2214201250302432 is an apocalyptic number.

It is an amenable number.

214201250302432 is a deficient number, since it is larger than the sum of its proper divisors (211615427212160).

214201250302432 is a wasteful number, since it uses less digits than its factorization.

214201250302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092091 (or 2092083 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 214201250302432 in words is "two hundred fourteen trillion, two hundred one billion, two hundred fifty million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 103 206 412 824 1648 3296 31541 63082 126164 252328 504656 1009312 2060437 3248723 4120874 6497446 8241748 12994892 16483496 25989784 32966992 51979568 65933984 103959136 212225011 424450022 848900044 1697800088 3395600176 6791200352 64988243417 129976486834 259952973668 519905947336 1039811894672 2079623789344 6693789071951 13387578143902 26775156287804 53550312575608 107100625151216 214201250302432