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13143344043240 = 23335101811148573
BaseRepresentation
bin1011111101000010110001…
…0110100101010011101000
31201112111021020121101222000
42333100230112211103220
53210320032033340430
643541545140531000
72524401214021035
oct277205426452350
951474236541860
1013143344043240
114208074080034
1215833273b0a60
137445482b0708
143361d981638c
1517bd4dc5ae60
hexbf42c5a54e8

13143344043240 has 256 divisors, whose sum is σ = 44299774713600. Its totient is φ = 3465887616000.

The previous prime is 13143344043239. The next prime is 13143344043259. The reversal of 13143344043240 is 4234044334131.

13143344043240 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 3 + 4 + 404 + 3 + 240 = 666.

13143344043240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13143344043195 and 13143344043204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88389594 + ... + 88538166.

It is an arithmetic number, because the mean of its divisors is an integer number (173045994975).

Almost surely, 213143344043240 is an apocalyptic number.

13143344043240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13143344043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22149887356800).

13143344043240 is an abundant number, since it is smaller than the sum of its proper divisors (31156430670360).

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

13143344043240 is a wasteful number, since it uses less digits than its factorization.

13143344043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149505 (or 149495 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13143344043240 its reverse (4234044334131), we get a palindrome (17377388377371).

The spelling of 13143344043240 in words is "thirteen trillion, one hundred forty-three billion, three hundred forty-four million, forty-three thousand, two hundred forty".