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114073444152 = 23331972680801
BaseRepresentation
bin110101000111101001…
…1101001111100111000
3101220102222022101021000
41222033103221330320
53332110300203102
6124223221445000
711145563163633
oct1521723517470
9356388271230
10114073444152
1144418537a88
121a136b70760
13a9ac3c49a5
1457421b4c1a
152e79a2901c
hex1a8f4e9f38

114073444152 has 64 divisors (see below), whose sum is σ = 318479277600. Its totient is φ = 37831449600.

The previous prime is 114073444129. The next prime is 114073444153. The reversal of 114073444152 is 251444370411.

114073444152 is a `hidden beast` number, since 1 + 140 + 73 + 4 + 441 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114073444153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297849 + ... + 1382952.

Almost surely, 2114073444152 is an apocalyptic number.

114073444152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114073444152 is an abundant number, since it is smaller than the sum of its proper divisors (204405833448).

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

114073444152 is a wasteful number, since it uses less digits than its factorization.

114073444152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681013 (or 2681003 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 114073444152 in words is "one hundred fourteen billion, seventy-three million, four hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 197 216 394 591 788 1182 1576 1773 2364 3546 4728 5319 7092 10638 14184 21276 42552 2680801 5361602 8042403 10723204 16084806 21446408 24127209 32169612 48254418 64339224 72381627 96508836 144763254 193017672 289526508 528117797 579053016 1056235594 1584353391 2112471188 3168706782 4224942376 4753060173 6337413564 9506120346 12674827128 14259180519 19012240692 28518361038 38024481384 57036722076 114073444152