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13522441240 = 23571117416299
BaseRepresentation
bin11001001100000000…
…00001010000011000
31021220101212012010001
430212000001100120
5210143221104430
610113452502344
7656045565640
oct144600012030
937811765101
1013522441240
11580a07a280
12275477a9b4
1313766b3429
14923cc3520
1554224e3ca
hex326001418

13522441240 has 256 divisors, whose sum is σ = 41150592000. Its totient is φ = 3869491200.

The previous prime is 13522441217. The next prime is 13522441279. The reversal of 13522441240 is 4214422531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13522441199 and 13522441208.

It is a congruent number.

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, 2143611 + ... + 2149909.

It is an arithmetic number, because the mean of its divisors is an integer number (160744500).

Almost surely, 213522441240 is an apocalyptic number.

13522441240 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 13522441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20575296000).

13522441240 is an abundant number, since it is smaller than the sum of its proper divisors (27628150760).

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

13522441240 is a wasteful number, since it uses less digits than its factorization.

13522441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 13522441240 its reverse (4214422531), we get a palindrome (17736863771).

The spelling of 13522441240 in words is "thirteen billion, five hundred twenty-two million, four hundred forty-one thousand, two hundred forty".