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116257290240 = 2113572132457
BaseRepresentation
bin110110001000101111…
…0010111100000000000
3102010002011121020220110
41230101132113200000
53401043331241430
6125224033111320
711253651443100
oct1542136274000
9363064536813
10116257290240
1145339233963
121a6463b8540
13ac6998b700
1458ac249200
1530566047b0
hex1b11797800

116257290240 has 864 divisors, whose sum is σ = 469522675440. Its totient is φ = 24475336704.

The previous prime is 116257290223. The next prime is 116257290257. The reversal of 116257290240 is 42092752611.

It is an interprime number because it is at equal distance from previous prime (116257290223) and next prime (116257290257).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254392092 + ... + 254392548.

Almost surely, 2116257290240 is an apocalyptic number.

116257290240 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 116257290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234761337720).

116257290240 is an abundant number, since it is smaller than the sum of its proper divisors (353265385200).

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

116257290240 is a wasteful number, since it uses less digits than its factorization.

116257290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 116257290240 in words is "one hundred sixteen billion, two hundred fifty-seven million, two hundred ninety thousand, two hundred forty".