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102242414144 = 2613122887517
BaseRepresentation
bin101111100111000011…
…1110110111001000000
3100202220110010210011102
41133032013312321000
53133343024223034
6114545225433532
710246443116033
oct1371607667100
9322813123142
10102242414144
113a3a71a5032
121799493b8a8
139845271710
144d3cbbd01a
1529d603397e
hex17ce1f6e40

102242414144 has 28 divisors (see below), whose sum is σ = 218494007004. Its totient is φ = 47188806144.

The previous prime is 102242414143. The next prime is 102242414171. The reversal of 102242414144 is 441414242201.

It can be written as a sum of positive squares in 2 ways, for example, as 8552550400 + 93689863744 = 92480^2 + 306088^2 .

It is a super-2 number, since 2×1022424141442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102242414143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61442927 + ... + 61444590.

It is an arithmetic number, because the mean of its divisors is an integer number (7803357393).

Almost surely, 2102242414144 is an apocalyptic number.

It is an amenable number.

102242414144 is an abundant number, since it is smaller than the sum of its proper divisors (116251592860).

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

102242414144 is a wasteful number, since it uses less digits than its factorization.

102242414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122887542 (or 122887532 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 102242414144 its reverse (441414242201), we get a palindrome (543656656345).

The spelling of 102242414144 in words is "one hundred two billion, two hundred forty-two million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 122887517 245775034 491550068 983100136 1597537721 1966200272 3195075442 3932400544 6390150884 7864801088 12780301768 25560603536 51121207072 102242414144