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114922242720 = 253653137859
BaseRepresentation
bin110101100000111100…
…1100100001010100000
3101222122010110211000000
41223001321210022200
53340330043231340
6124443342300000
711205610642215
oct1530171441240
9358563424000
10114922242720
11448136789aa
121a333287600
13aab620216c
1457c2c03b0c
152ec92ded30
hex1ac1e642a0

114922242720 has 672 divisors, whose sum is σ = 432059927040. Its totient is φ = 28822210560.

The previous prime is 114922242703. The next prime is 114922242731. The reversal of 114922242720 is 27242229411.

114922242720 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 222 + 427 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 133785651 + ... + 133786509.

It is an arithmetic number, because the mean of its divisors is an integer number (642946320).

Almost surely, 2114922242720 is an apocalyptic number.

114922242720 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 114922242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216029963520).

114922242720 is an abundant number, since it is smaller than the sum of its proper divisors (317137684320).

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

114922242720 is an equidigital number, since it uses as much as digits as its factorization.

114922242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 114922242720 in words is "one hundred fourteen billion, nine hundred twenty-two million, two hundred forty-two thousand, seven hundred twenty".