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144543115431 = 321113791421647
BaseRepresentation
bin1000011010011101110…
…0001110100010100111
3111211002110101001111200
42012213130032202213
54332011014143211
6150222512333543
713304625131541
oct2064734164247
9454073331450
10144543115431
1156333902aa0
122401b2442b3
1310826b83390
146dd2b5c691
153b5e9c9b56
hex21a770e8a7

144543115431 has 48 divisors (see below), whose sum is σ = 248390338560. Its totient is φ = 79839639360.

The previous prime is 144543115403. The next prime is 144543115439. The reversal of 144543115431 is 134511345441.

144543115431 is a `hidden beast` number, since 1 + 4 + 45 + 431 + 154 + 31 = 666.

144543115431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144543115431 - 27 = 144543115303 is a prime.

It is a super-2 number, since 2×1445431154312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144543115439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609151 + ... + 812496.

It is an arithmetic number, because the mean of its divisors is an integer number (5174798720).

Almost surely, 2144543115431 is an apocalyptic number.

144543115431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144543115431 is a deficient number, since it is larger than the sum of its proper divisors (103847223129).

144543115431 is a wasteful number, since it uses less digits than its factorization.

144543115431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421756 (or 1421753 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 144543115431 in words is "one hundred forty-four billion, five hundred forty-three million, one hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 79 99 117 143 237 429 711 869 1027 1287 2607 3081 7821 9243 11297 33891 101673 1421647 4264941 12794823 15638117 18481411 46914351 55444233 112310113 140743053 166332699 203295521 336930339 609886563 1010791017 1235411243 1460031469 1829659689 3706233729 4380094407 11118701187 13140283221 16060346159 48181038477 144543115431