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114388831125 = 335343788209
BaseRepresentation
bin110101010001000011…
…0110000101110010101
3101221020221202200212000
41222202012300232111
53333232020044000
6124314405345513
711156443010322
oct1524206605625
9357227680760
10114388831125
114456a570978
121a204708299
13aa2c84c2ba
145772031b49
152e97577000
hex1aa21b0b95

114388831125 has 64 divisors (see below), whose sum is σ = 216410937600. Its totient is φ = 59588524800.

The previous prime is 114388831093. The next prime is 114388831163. The reversal of 114388831125 is 521138883411.

114388831125 is a `hidden beast` number, since 11 + 438 + 8 + 83 + 1 + 125 = 666.

It is not a de Polignac number, because 114388831125 - 25 = 114388831093 is a prime.

It is a super-2 number, since 2×1143888311252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248980 + ... + 539229.

It is an arithmetic number, because the mean of its divisors is an integer number (3381420900).

Almost surely, 2114388831125 is an apocalyptic number.

114388831125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114388831125 is a deficient number, since it is larger than the sum of its proper divisors (102022106475).

114388831125 is an equidigital number, since it uses as much as digits as its factorization.

114388831125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788276 (or 788260 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 114388831125 in words is "one hundred fourteen billion, three hundred eighty-eight million, eight hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 125 129 135 215 225 375 387 645 675 1075 1125 1161 1935 3225 3375 5375 5805 9675 16125 29025 48375 145125 788209 2364627 3941045 7093881 11823135 19705225 21281643 33892987 35469405 59115675 98526125 101678961 106408215 169464935 177347025 295578375 305036883 508394805 532041075 847324675 886735125 915110649 1525184415 2541974025 2660205375 4236623375 4575553245 7625922075 12709870125 22877766225 38129610375 114388831125