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114402434224 = 24133141294297
BaseRepresentation
bin110101010001011101…
…0101001110010110000
3101221021220100210210111
41222202322221302300
53333244010343344
6124320013111104
711156666434441
oct1524272516260
9357256323714
10114402434224
1144577212101
121a209188494
13aa32602b80
145773b732c8
152e98862834
hex1aa2ea9cb0

114402434224 has 80 divisors (see below), whose sum is σ = 246522277120. Its totient is φ = 51073597440.

The previous prime is 114402434219. The next prime is 114402434239. The reversal of 114402434224 is 422434204411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26621644 + ... + 26625940.

It is an arithmetic number, because the mean of its divisors is an integer number (3081528464).

Almost surely, 2114402434224 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 114402434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123261138560).

114402434224 is an abundant number, since it is smaller than the sum of its proper divisors (132119842896).

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

114402434224 is a wasteful number, since it uses less digits than its factorization.

114402434224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 114402434224 its reverse (422434204411), we get a palindrome (536836638635).

The spelling of 114402434224 in words is "one hundred fourteen billion, four hundred two million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 4129 4297 6448 8258 8594 16516 17188 33032 34376 53677 55861 66064 68752 107354 111722 127999 133207 214708 223444 255998 266414 429416 446888 511996 532828 858832 893776 1023992 1065656 1663987 1731691 2047984 2131312 3327974 3463382 6655948 6926764 13311896 13853528 17742313 26623792 27707056 35484626 70969252 141938504 230650069 283877008 461300138 550011703 922600276 1100023406 1845200552 2200046812 3690401104 4400093624 7150152139 8800187248 14300304278 28600608556 57201217112 114402434224