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114542153105121 = 32724735869154067
BaseRepresentation
bin11010000010110011101100…
…010110001111111011100001
3120000120010022120221210202100
4122002303230112033323201
5110003124312143330441
61043335534432241013
733061253222056500
oct3202635426177341
9500503276853670
10114542153105121
1133551066358015
1210a1b0533a0169
134bbb38138c8c1
14203dc269c2837
15d39786d3ecb6
hex682cec58fee1

114542153105121 has 72 divisors (see below), whose sum is σ = 196563676682880. Its totient is φ = 64057847426496.

The previous prime is 114542153105119. The next prime is 114542153105153. The reversal of 114542153105121 is 121501351245411.

It is a happy number.

114542153105121 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 215 + 310 + 5 + 121 = 666.

It is not a de Polignac number, because 114542153105121 - 21 = 114542153105119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114542133105121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 743379730 + ... + 743533796.

It is an arithmetic number, because the mean of its divisors is an integer number (2730051065040).

Almost surely, 2114542153105121 is an apocalyptic number.

It is an amenable number.

114542153105121 is a deficient number, since it is larger than the sum of its proper divisors (82021523577759).

114542153105121 is a wasteful number, since it uses less digits than its factorization.

114542153105121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190003 (or 189993 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 114542153105121 in words is "one hundred fourteen trillion, five hundred forty-two billion, one hundred fifty-three million, one hundred five thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 47 49 63 141 147 329 423 441 987 2303 2961 6909 20727 35869 107607 154067 251083 322821 462201 753249 1078469 1386603 1685843 1757581 2259747 3235407 5057529 5272743 7241149 7549283 9706221 11800901 15172587 15818229 21723447 22647849 35402703 50688043 65170341 67943547 82606307 106208109 152064129 247818921 354816301 456192387 743456763 1064448903 3193346709 5526229223 16578687669 38683604561 49736063007 116050813683 259732773481 270785231927 348152441049 779198320443 812355695781 1818129414367 2337594961329 2437067087343 5454388243101 12726905900569 16363164729303 38180717701707 114542153105121