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13367286240 = 25357311361
BaseRepresentation
bin11000111001100000…
…01001100111100000
31021111120220111110120
430130300021213200
5204334011124430
610050231200240
7652153026000
oct143460114740
937446814416
1013367286240
11573a537000
122710816080
1313504cb039
1490b456000
15533802610
hex31cc099e0

13367286240 has 768 divisors, whose sum is σ = 54896486400. Its totient is φ = 2732083200.

The previous prime is 13367286173. The next prime is 13367286271. The reversal of 13367286240 is 4268276331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13367286192 and 13367286201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219135810 + ... + 219135870.

It is an arithmetic number, because the mean of its divisors is an integer number (71479800).

Almost surely, 213367286240 is an apocalyptic number.

13367286240 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 13367286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27448243200).

13367286240 is an abundant number, since it is smaller than the sum of its proper divisors (41529200160).

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

13367286240 is an equidigital number, since it uses as much as digits as its factorization.

13367286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

Subtracting from 13367286240 its reverse (4268276331), we obtain a palindrome (9099009909).

It can be divided in two parts, 133672 and 86240, that added together give a palindrome (219912).

The spelling of 13367286240 in words is "thirteen billion, three hundred sixty-seven million, two hundred eighty-six thousand, two hundred forty".