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214032034112 = 2613916128081
BaseRepresentation
bin1100011101010101001…
…1011010100101000000
3202110110021000212121112
43013111103122211000
512001314200042422
6242154105142452
721314625162311
oct3072523324500
9673407025545
10214032034112
118285255a106
1235592a8aa28
131724c465b40
14a505936608
15587a2d3ee2
hex31d54da940

214032034112 has 56 divisors (see below), whose sum is σ = 457456790952. Its totient is φ = 98769715200.

The previous prime is 214032034079. The next prime is 214032034123. The reversal of 214032034112 is 211430230412.

It can be written as a sum of positive squares in 4 ways, for example, as 85082176 + 213946951936 = 9224^2 + 462544^2 .

It is a super-2 number, since 2×2140320341122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7607912 + ... + 7635992.

It is an arithmetic number, because the mean of its divisors is an integer number (8168871267).

Almost surely, 2214032034112 is an apocalyptic number.

It is an amenable number.

214032034112 is an abundant number, since it is smaller than the sum of its proper divisors (243424756840).

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

214032034112 is a wasteful number, since it uses less digits than its factorization.

214032034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37267 (or 37257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 214032034112 its reverse (211430230412), we get a palindrome (425462264524).

The spelling of 214032034112 in words is "two hundred fourteen billion, thirty-two million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 9161 18322 28081 36644 56162 73288 112324 119093 146576 224648 238186 293152 365053 449296 476372 586304 730106 898592 952744 1460212 1797184 1905488 2920424 3810976 5840848 7621952 11681696 23363392 257250041 514500082 1029000164 2058000328 3344250533 4116000656 6688501066 8232001312 13377002132 16464002624 26754004264 53508008528 107016017056 214032034112