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13442006124 = 2232752349633
BaseRepresentation
bin11001000010011010…
…01011110001101100
31021200210111122212200
430201031023301230
5210012123143444
610101500501500
7654051111141
oct144115136154
937623448780
1013442006124
115778731178
12273184a890
131362b2cca1
149173463c8
1553a161969
hex32134bc6c

13442006124 has 36 divisors (see below), whose sum is σ = 33983605656. Its totient is φ = 4479982848.

The previous prime is 13442006111. The next prime is 13442006141. The reversal of 13442006124 is 42160024431.

It is a happy number.

13442006124 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 0 + 0 + 612 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 246012 + ... + 295644.

It is an arithmetic number, because the mean of its divisors is an integer number (943989046).

Almost surely, 213442006124 is an apocalyptic number.

It is an amenable number.

13442006124 is an abundant number, since it is smaller than the sum of its proper divisors (20541599532).

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

13442006124 is a wasteful number, since it uses less digits than its factorization.

13442006124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57166 (or 57161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 13442006124 in words is "thirteen billion, four hundred forty-two million, six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7523 15046 22569 30092 45138 49633 67707 90276 99266 135414 148899 198532 270828 297798 446697 595596 893394 1786788 373389059 746778118 1120167177 1493556236 2240334354 3360501531 4480668708 6721003062 13442006124