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102327234240 = 26357115212657
BaseRepresentation
bin101111101001100101…
…1011010111011000000
3100210010100202002110110
41133103023122323000
53134031232443430
6115001455431320
710251523065660
oct1372313327300
9323110662413
10102327234240
113a440068690
12179b9225540
1398599cba1a
144d4a17c1a0
1529dd6da7b0
hex17d32daec0

102327234240 has 448 divisors, whose sum is σ = 405986577408. Its totient is φ = 21214003200.

The previous prime is 102327234187. The next prime is 102327234283. The reversal of 102327234240 is 42432723201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102327234198 and 102327234207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38510992 + ... + 38513648.

Almost surely, 2102327234240 is an apocalyptic number.

102327234240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102327234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202993288704).

102327234240 is an abundant number, since it is smaller than the sum of its proper divisors (303659343168).

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

102327234240 is a wasteful number, since it uses less digits than its factorization.

102327234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

Adding to 102327234240 its reverse (42432723201), we get a palindrome (144759957441).

The spelling of 102327234240 in words is "one hundred two billion, three hundred twenty-seven million, two hundred thirty-four thousand, two hundred forty".