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102342131440 = 24597111711807
BaseRepresentation
bin101111101010000010…
…0001111111011110000
3100210011101202221120121
41133110010033323300
53134044041201230
6115003151020024
710252063523023
oct1372404177360
9323141687517
10102342131440
113a44851311a
1217a0220a614
13985cb16633
144d4c1391ba
1529deb7e77a
hex17d410fef0

102342131440 has 80 divisors (see below), whose sum is σ = 240634098432. Its totient is φ = 40475123712.

The previous prime is 102342131393. The next prime is 102342131471. The reversal of 102342131440 is 44131243201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8662017 + ... + 8673823.

Almost surely, 2102342131440 is an apocalyptic number.

102342131440 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 102342131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120317049216).

102342131440 is an abundant number, since it is smaller than the sum of its proper divisors (138291966992).

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

102342131440 is a wasteful number, since it uses less digits than its factorization.

102342131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13034 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 102342131440 its reverse (44131243201), we get a palindrome (146473374641).

The spelling of 102342131440 in words is "one hundred two billion, three hundred forty-two million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1117 1552 1940 2234 3880 4468 5585 7760 8936 11170 11807 17872 22340 23614 44680 47228 59035 89360 94456 108349 118070 188912 216698 236140 433396 472280 541745 866792 944560 1083490 1145279 1733584 2166980 2290558 4333960 4581116 5726395 8667920 9162232 11452790 13188419 18324464 22905580 26376838 45811160 52753676 65942095 91622320 105507352 131884190 211014704 263768380 527536760 1055073520 1279276643 2558553286 5117106572 6396383215 10234213144 12792766430 20468426288 25585532860 51171065720 102342131440