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13232143044 = 22333110093917
BaseRepresentation
bin11000101001011001…
…00111101011000100
31021011011121111212000
430110230213223010
5204044412034134
610025002425300
7645622234341
oct142454475304
937134544760
1013232143044
115680221a0a
122693502230
13132b501553
148d75177c8
15526a09e99
hex314b27ac4

13232143044 has 96 divisors (see below), whose sum is σ = 35456332800. Its totient is φ = 4263114240.

The previous prime is 13232143027. The next prime is 13232143061. The reversal of 13232143044 is 44034123231.

13232143044 is a `hidden beast` number, since 1 + 32 + 321 + 4 + 304 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13232143027) and next prime (13232143061).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13232142999 and 13232143017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3376174 + ... + 3380090.

It is an arithmetic number, because the mean of its divisors is an integer number (369336800).

Almost surely, 213232143044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13232143044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728166400).

13232143044 is an abundant number, since it is smaller than the sum of its proper divisors (22224189756).

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

13232143044 is a wasteful number, since it uses less digits than its factorization.

13232143044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13232143044 its reverse (44034123231), we get a palindrome (57266266275).

The spelling of 13232143044 in words is "thirteen billion, two hundred thirty-two million, one hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1009 1116 1674 2018 3027 3348 3917 4036 6054 7834 9081 11751 12108 15668 18162 23502 27243 31279 35253 36324 47004 54486 62558 70506 93837 105759 108972 121427 125116 141012 187674 211518 242854 281511 364281 375348 423036 485708 563022 728562 844533 1092843 1126044 1457124 1689066 2185686 3278529 3378132 3952253 4371372 6557058 7904506 11856759 13114116 15809012 23713518 35570277 47427036 71140554 106710831 122519843 142281108 213421662 245039686 367559529 426843324 490079372 735119058 1102678587 1470238116 2205357174 3308035761 4410714348 6616071522 13232143044