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117638999440 = 24510273143141
BaseRepresentation
bin110110110001111010…
…1001010110110010000
3102020122110112100121021
41231203311022312100
53411411040440230
6130013112005224
711333126665564
oct1554365126620
9366573470537
10117638999440
114598816a496
121a971090814
13b12a004a11
14599d9596a4
1530d7a84c7a
hex1b63d4ad90

117638999440 has 40 divisors (see below), whose sum is σ = 273539208888. Its totient is φ = 47050690560.

The previous prime is 117638999419. The next prime is 117638999441. The reversal of 117638999440 is 44999836711.

It can be written as a sum of positive squares in 4 ways, for example, as 14449001616 + 103189997824 = 120204^2 + 321232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (117638999441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 750270 + ... + 893410.

Almost surely, 2117638999440 is an apocalyptic number.

117638999440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117638999440 is an abundant number, since it is smaller than the sum of its proper divisors (155900209448).

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

117638999440 is a wasteful number, since it uses less digits than its factorization.

117638999440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153427 (or 153421 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 117638999440 in words is "one hundred seventeen billion, six hundred thirty-eight million, nine hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10273 20546 41092 51365 82184 102730 143141 164368 205460 286282 410920 572564 715705 821840 1145128 1431410 2290256 2862820 5725640 11451280 1470487493 2940974986 5881949972 7352437465 11763899944 14704874930 23527799888 29409749860 58819499720 117638999440