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144114131034 = 23241863191251
BaseRepresentation
bin1000011000110111011…
…1110010000001011010
3111202222120011101112200
42012031313302001122
54330121204143114
6150112145551030
713261165621266
oct2061567620132
9452876141480
10144114131034
1156133740735
1223b1b645476
1310789034163
146d91bb10a6
153b36edd409
hex218ddf205a

144114131034 has 24 divisors (see below), whose sum is σ = 312256375392. Its totient is φ = 48036645000.

The previous prime is 144114130903. The next prime is 144114131071. The reversal of 144114131034 is 430131411441.

144114131034 is a `hidden beast` number, since 144 + 1 + 1 + 413 + 103 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144114130989 and 144114131007.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657909 + ... + 849159.

It is an arithmetic number, because the mean of its divisors is an integer number (13010682308).

Almost surely, 2144114131034 is an apocalyptic number.

144114131034 is an abundant number, since it is smaller than the sum of its proper divisors (168142244358).

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

144114131034 is a wasteful number, since it uses less digits than its factorization.

144114131034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233122 (or 233119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 144114131034 its reverse (430131411441), we get a palindrome (574245542475).

The spelling of 144114131034 in words is "one hundred forty-four billion, one hundred fourteen million, one hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 41863 83726 125589 191251 251178 376767 382502 573753 753534 1147506 1721259 3442518 8006340613 16012681226 24019021839 48038043678 72057065517 144114131034