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13144236240 = 243554767651
BaseRepresentation
bin11000011110111010…
…10010000011010000
31020221001012101101110
430033131102003100
5203404411024430
610012142333320
7643504110312
oct141735220320
936831171343
1013144236240
115635640263
122669b8a240
1313162332a5
148c99937b2
1551de437b0
hex30f7520d0

13144236240 has 40 divisors (see below), whose sum is σ = 40747133088. Its totient is φ = 3505129600.

The previous prime is 13144236197. The next prime is 13144236241. The reversal of 13144236240 is 4263244131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13144236198 and 13144236207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144236241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27383586 + ... + 27384065.

Almost surely, 213144236240 is an apocalyptic number.

13144236240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144236240 is an abundant number, since it is smaller than the sum of its proper divisors (27602896848).

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

13144236240 is a wasteful number, since it uses less digits than its factorization.

13144236240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54767667 (or 54767661 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 13144236240 in words is "thirteen billion, one hundred forty-four million, two hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 54767651 109535302 164302953 219070604 273838255 328605906 438141208 547676510 657211812 821514765 876282416 1095353020 1314423624 1643029530 2190706040 2628847248 3286059060 4381412080 6572118120 13144236240