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114733416744 = 23325333598951
BaseRepresentation
bin110101011011010100…
…1010000000100101000
3101222010222011110110100
41222312221100010220
53334433223313434
6124412515145400
711201125644162
oct1526651200450
9358128143410
10114733416744
1144727028181
121a29bba5260
13aa8605ac0b
1457a5acd932
152eb7941699
hex1ab6a50128

114733416744 has 96 divisors (see below), whose sum is σ = 316728921600. Its totient is φ = 37507516800.

The previous prime is 114733416731. The next prime is 114733416827. The reversal of 114733416744 is 447614337411.

It is a happy number.

114733416744 is a `hidden beast` number, since 11 + 473 + 3 + 4 + 167 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114733416744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12813469 + ... + 12822419.

It is an arithmetic number, because the mean of its divisors is an integer number (3299259600).

Almost surely, 2114733416744 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 114733416744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158364460800).

114733416744 is an abundant number, since it is smaller than the sum of its proper divisors (201995504856).

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

114733416744 is a wasteful number, since it uses less digits than its factorization.

114733416744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12375 (or 12368 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 114733416744 in words is "one hundred fourteen billion, seven hundred thirty-three million, four hundred sixteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3359 3816 6718 8951 10077 13436 17902 20154 26853 26872 30231 35804 40308 53706 60462 71608 80559 80616 107412 120924 161118 178027 214824 241848 322236 356054 474403 534081 644472 712108 948806 1068162 1423209 1424216 1602243 1897612 2136324 2846418 3204486 3795224 4269627 4272648 5692836 6408972 8539254 11385672 12817944 17078508 30066409 34157016 60132818 90199227 120265636 180398454 240531272 270597681 360796908 541195362 721593816 1082390724 1593519677 2164781448 3187039354 4780559031 6374078708 9561118062 12748157416 14341677093 19122236124 28683354186 38244472248 57366708372 114733416744