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114424211304 = 23351312833529
BaseRepresentation
bin110101010010000110…
…1101110011101101000
3101221100102100012100000
41222210031232131220
53333320044230204
6124322111543000
711160352514454
oct1524415563550
9357312305300
10114424211304
1144588536597
121a21452aa60
13aa36c89110
145776a01664
152e9a715039
hex1aa436e768

114424211304 has 192 divisors, whose sum is σ = 346465828800. Its totient is φ = 35170039296.

The previous prime is 114424211281. The next prime is 114424211333. The reversal of 114424211304 is 403112424411.

114424211304 is a `hidden beast` number, since 1 + 1 + 442 + 4 + 211 + 3 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32422212 + ... + 32425740.

It is an arithmetic number, because the mean of its divisors is an integer number (1804509525).

Almost surely, 2114424211304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114424211304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173232914400).

114424211304 is an abundant number, since it is smaller than the sum of its proper divisors (232041617496).

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

114424211304 is a wasteful number, since it uses less digits than its factorization.

114424211304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114424211304 its reverse (403112424411), we get a palindrome (517536635715).

The spelling of 114424211304 in words is "one hundred fourteen billion, four hundred twenty-four million, two hundred eleven thousand, three hundred four".