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117453140640 = 25335118397307
BaseRepresentation
bin110110101100011000…
…0001011001010100000
3102020011111210202021000
41231120300023022200
53411021001000030
6125542432232000
711325412136313
oct1553060131240
9366144722230
10117453140640
11458a2265a80
121a91a99b600
13b0ca65c1b4
145982db897a
1530c65c0860
hex1b58c0b2a0

117453140640 has 768 divisors, whose sum is σ = 460033136640. Its totient is φ = 27749744640.

The previous prime is 117453140611. The next prime is 117453140653. The reversal of 117453140640 is 46041354711.

117453140640 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 5 + 3 + 1 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117453140595 and 117453140604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382583367 + ... + 382583673.

It is an arithmetic number, because the mean of its divisors is an integer number (599001480).

Almost surely, 2117453140640 is an apocalyptic number.

117453140640 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 117453140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230016568320).

117453140640 is an abundant number, since it is smaller than the sum of its proper divisors (342579996000).

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

117453140640 is a wasteful number, since it uses less digits than its factorization.

117453140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 117453140640 in words is "one hundred seventeen billion, four hundred fifty-three million, one hundred forty thousand, six hundred forty".