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102444201432 = 23321783696243
BaseRepresentation
bin101111101101000100…
…1100111010111011000
3100210102111211122021200
41133122021213113120
53134301203421212
6115021234434200
710254443226126
oct1373211472730
9323374748250
10102444201432
113a4a0098891
1217a30432960
139878003391
144d5b908916
1529e8ae26dc
hex17da2675d8

102444201432 has 48 divisors (see below), whose sum is σ = 293773816440. Its totient is φ = 32139356928.

The previous prime is 102444201413. The next prime is 102444201451. The reversal of 102444201432 is 234102444201.

102444201432 is a `hidden beast` number, since 1 + 0 + 24 + 4 + 4 + 201 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (102444201413) and next prime (102444201451).

It is a junction number, because it is equal to n+sod(n) for n = 102444201396 and 102444201405.

It is a congruent number.

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, 41846898 + ... + 41849345.

Almost surely, 2102444201432 is an apocalyptic number.

102444201432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102444201432 is an abundant number, since it is smaller than the sum of its proper divisors (191329615008).

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

102444201432 is a wasteful number, since it uses less digits than its factorization.

102444201432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83696272 (or 83696265 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102444201432 its reverse (234102444201), we get a palindrome (336546645633).

The spelling of 102444201432 in words is "one hundred two billion, four hundred forty-four million, two hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 83696243 167392486 251088729 334784972 502177458 669569944 753266187 1004354916 1422836131 1506532374 2008709832 2845672262 3013064748 4268508393 5691344524 6026129496 8537016786 11382689048 12805525179 17074033572 25611050358 34148067144 51222100716 102444201432