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13442431104 = 2732109107053
BaseRepresentation
bin11001000010011101…
…10011100010000000
31021200211022020211200
430201032303202000
5210012230243404
610101513541200
7654054531144
oct144116634200
937624266750
1013442431104
1157789a14a3
122731a14800
131362c4b55b
14917417224
1553a1e7839
hex3213b3880

13442431104 has 96 divisors (see below), whose sum is σ = 39037241100. Its totient is φ = 4439660544.

The previous prime is 13442431099. The next prime is 13442431139. The reversal of 13442431104 is 40113424431.

13442431104 is a `hidden beast` number, since 1 + 344 + 2 + 4 + 311 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12578071104 + 864360000 = 112152^2 + 29400^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72042 + ... + 179094.

Almost surely, 213442431104 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 13442431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518620550).

13442431104 is an abundant number, since it is smaller than the sum of its proper divisors (25594809996).

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

13442431104 is a wasteful number, since it uses less digits than its factorization.

13442431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107182 (or 107167 counting only the distinct ones).

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

Adding to 13442431104 its reverse (40113424431), we get a palindrome (53555855535).

The spelling of 13442431104 in words is "thirteen billion, four hundred forty-two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 128 144 192 218 288 327 384 436 576 654 872 981 1152 1308 1744 1962 2616 3488 3924 5232 6976 7848 10464 13952 15696 20928 31392 41856 62784 107053 125568 214106 321159 428212 642318 856424 963477 1284636 1712848 1926954 2569272 3425696 3853908 5138544 6851392 7707816 10277088 11668777 13702784 15415632 20554176 23337554 30831264 35006331 41108352 46675108 61662528 70012662 93350216 105018993 123325056 140025324 186700432 210037986 280050648 373400864 420075972 560101296 746801728 840151944 1120202592 1493603456 1680303888 2240405184 3360607776 4480810368 6721215552 13442431104