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114434104320 = 210365233143
BaseRepresentation
bin110101010010011001…
…1011101110000000000
3101221101002221211000000
41222210303131300000
53333330112314240
6124323104000000
711160532560204
oct1524463356000
9357332854000
10114434104320
1144593083338
121a217900000
13aa39041083
145778058b04
152e9b51b430
hex1aa4cddc00

114434104320 has 1232 divisors, whose sum is σ = 453631444992. Its totient is φ = 27590492160.

The previous prime is 114434104247. The next prime is 114434104373. The reversal of 114434104320 is 23401434411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2661258219 + ... + 2661258261.

Almost surely, 2114434104320 is an apocalyptic number.

114434104320 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 114434104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226815722496).

114434104320 is an abundant number, since it is smaller than the sum of its proper divisors (339197340672).

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

114434104320 is an equidigital number, since it uses as much as digits as its factorization.

114434104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114434104320 its reverse (23401434411), we get a palindrome (137835538731).

The spelling of 114434104320 in words is "one hundred fourteen billion, four hundred thirty-four million, one hundred four thousand, three hundred twenty".