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13144015312542 = 235171590899941
BaseRepresentation
bin1011111101000101010001…
…0111010001011010011110
31201112120000000201102100000
42333101110113101122132
53210322420410000132
643542135520315130
72524423644511302
oct277212427213236
951476000642300
1013144015312542
114208388a86654
121583494172aa6
137446243a079a
14336260a31d02
1517bd8cb5587c
hexbf4545d169e

13144015312542 has 48 divisors (see below), whose sum is σ = 31270729259952. Its totient is φ = 4123612644480.

The previous prime is 13144015312531. The next prime is 13144015312607. The reversal of 13144015312542 is 24521351044131.

13144015312542 is a `hidden beast` number, since 1 + 3 + 1 + 440 + 1 + 53 + 125 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13144015312497 and 13144015312506.

It is a congruent number.

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, 795441709 + ... + 795458232.

It is an arithmetic number, because the mean of its divisors is an integer number (651473526249).

Almost surely, 213144015312542 is an apocalyptic number.

13144015312542 is an abundant number, since it is smaller than the sum of its proper divisors (18126713947410).

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

13144015312542 is a wasteful number, since it uses less digits than its factorization.

13144015312542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590899975 (or 1590899963 counting only the distinct ones).

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

Adding to 13144015312542 its reverse (24521351044131), we get a palindrome (37665366356673).

The spelling of 13144015312542 in words is "thirteen trillion, one hundred forty-four billion, fifteen million, three hundred twelve thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 1590899941 3181799882 4772699823 9545399646 14318099469 27045298997 28636198938 42954298407 54090597994 81135896991 85908596814 128862895221 162271793982 243407690973 257725790442 386588685663 486815381946 730223072919 773177371326 1460446145838 2190669218757 4381338437514 6572007656271 13144015312542