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114232234400 = 2552178399429
BaseRepresentation
bin110101001100011000…
…1011001000110100000
3101220212001002202112022
41222120301121012200
53332421423000100
6124251053121012
711152531654154
oct1523061310640
9356761082468
10114232234400
114449a133499
121a180189168
13aa0628090b
14575930b064
152e88942e85
hex1a98c591a0

114232234400 has 72 divisors (see below), whose sum is σ = 295273562220. Its totient is φ = 43005071360.

The previous prime is 114232234393. The next prime is 114232234411. The reversal of 114232234400 is 4432232411.

It can be written as a sum of positive squares in 6 ways, for example, as 70486002064 + 43746232336 = 265492^2 + 209156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114232234400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4186115 + ... + 4213314.

Almost surely, 2114232234400 is an apocalyptic number.

114232234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114232234400 is an abundant number, since it is smaller than the sum of its proper divisors (181041327820).

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

114232234400 is a wasteful number, since it uses less digits than its factorization.

114232234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399466 (or 8399453 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 114232234400 its reverse (4432232411), we get a palindrome (118664466811).

The spelling of 114232234400 in words is "one hundred fourteen billion, two hundred thirty-two million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 8399429 16798858 33597716 41997145 67195432 83994290 134390864 142790293 167988580 209985725 268781728 285580586 335977160 419971450 571161172 671954320 713951465 839942900 1142322344 1343908640 1427902930 1679885800 2284644688 2855805860 3359771600 3569757325 4569289376 5711611720 6719543200 7139514650 11423223440 14279029300 22846446880 28558058600 57116117200 114232234400