Search a number
-
+
114717704640 = 26357111551917
BaseRepresentation
bin110101011010110110…
…1010100000111000000
3101222002212121012111120
41222311231110013000
53334420213022030
6124411154312240
711200545254250
oct1526555240700
9358085535446
10114717704640
1144719176470
121a296888680
13aa82a19406
1457a399d960
152eb638b010
hex1ab5b541c0

114717704640 has 224 divisors, whose sum is σ = 454103622144. Its totient is φ = 23837429760.

The previous prime is 114717704617. The next prime is 114717704657. The reversal of 114717704640 is 46407717411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 114717704592 and 114717704601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702039 + ... + 849878.

Almost surely, 2114717704640 is an apocalyptic number.

114717704640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114717704640 is an abundant number, since it is smaller than the sum of its proper divisors (339385917504).

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

114717704640 is a wasteful number, since it uses less digits than its factorization.

114717704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551955 (or 1551945 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 114717704640 in words is "one hundred fourteen billion, seven hundred seventeen million, seven hundred four thousand, six hundred forty".