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102259383440 = 2453734547089
BaseRepresentation
bin101111100111100100…
…0100101110010010000
3100202221122001220122212
41133033020211302100
53133411400232230
6114551033251252
710250040263144
oct1371710456220
9322848056585
10102259383440
113a405835345
121799a563b28
139848933516
144d41159224
1529d7786895
hex17cf225c90

102259383440 has 40 divisors (see below), whose sum is σ = 244178832120. Its totient is φ = 39798245376.

The previous prime is 102259383353. The next prime is 102259383469. The reversal of 102259383440 is 44383952201.

It can be written as a sum of positive squares in 4 ways, for example, as 25913272576 + 76346110864 = 160976^2 + 276308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17270585 + ... + 17276504.

It is an arithmetic number, because the mean of its divisors is an integer number (6104470803).

Almost surely, 2102259383440 is an apocalyptic number.

102259383440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102259383440 is an abundant number, since it is smaller than the sum of its proper divisors (141919448680).

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

102259383440 is a wasteful number, since it uses less digits than its factorization.

102259383440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34547139 (or 34547133 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 102259383440 in words is "one hundred two billion, two hundred fifty-nine million, three hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 34547089 69094178 138188356 172735445 276376712 345470890 552753424 690941780 1278242293 1381883560 2556484586 2763767120 5112969172 6391211465 10225938344 12782422930 20451876688 25564845860 51129691720 102259383440