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114231144432 = 24361121732057
BaseRepresentation
bin110101001100010110…
…1001110111111110000
3101220211222001101101010
41222120231032333300
53332421133110212
6124251013510520
711152516464336
oct1523055167760
9356758041333
10114231144432
1144499559599
121a17b942440
13aa05c8b772
145759105b56
152e887ca03c
hex1a98b4eff0

114231144432 has 80 divisors (see below), whose sum is σ = 300190599072. Its totient is φ = 37420892160.

The previous prime is 114231144409. The next prime is 114231144451. The reversal of 114231144432 is 234441132411.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114231144432.

It is a congruent number.

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, 3547348 + ... + 3579404.

Almost surely, 2114231144432 is an apocalyptic number.

114231144432 is a gapful number since it is divisible by the number (12) 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 114231144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150095299536).

114231144432 is an abundant number, since it is smaller than the sum of its proper divisors (185959454640).

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

114231144432 is a wasteful number, since it uses less digits than its factorization.

114231144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33346 (or 33340 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 114231144432 its reverse (234441132411), we get a palindrome (348672276843).

The spelling of 114231144432 in words is "one hundred fourteen billion, two hundred thirty-one million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1217 1464 2434 2928 3651 4868 7302 9736 14604 19472 29208 32057 58416 64114 74237 96171 128228 148474 192342 222711 256456 296948 384684 445422 512912 593896 769368 890844 1187792 1538736 1781688 1955477 3563376 3910954 5866431 7821908 11732862 15643816 23465724 31287632 39013369 46931448 78026738 93862896 117040107 156053476 234080214 312106952 468160428 624213904 936320856 1872641712 2379815509 4759631018 7139446527 9519262036 14278893054 19038524072 28557786108 38077048144 57115572216 114231144432