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13534245440 = 265191322109
BaseRepresentation
bin11001001101011010…
…00011001001000000
31021221020001220102122
430212231003021000
5210204231323230
610114553503412
7656251121342
oct144655031100
937836056378
1013534245440
115815801a11
122758711b68
131378c87271
149256b7292
155432d1be5
hex326b43240

13534245440 has 56 divisors (see below), whose sum is σ = 32246727480. Its totient is φ = 5410623488.

The previous prime is 13534245437. The next prime is 13534245449. The reversal of 13534245440 is 4454243531.

It can be written as a sum of positive squares in 4 ways, for example, as 1296576064 + 12237669376 = 36008^2 + 110624^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13534245440.

It is not an unprimeable number, because it can be changed into a prime (13534245449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 601106 + ... + 623214.

Almost surely, 213534245440 is an apocalyptic number.

13534245440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13534245440 is an abundant number, since it is smaller than the sum of its proper divisors (18712482040).

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

13534245440 is a wasteful number, since it uses less digits than its factorization.

13534245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24039 (or 24029 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 13534245440 its reverse (4454243531), we get a palindrome (17988488971).

The spelling of 13534245440 in words is "thirteen billion, five hundred thirty-four million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1913 3826 7652 9565 15304 19130 22109 30608 38260 44218 61216 76520 88436 110545 122432 153040 176872 221090 306080 353744 442180 612160 707488 884360 1414976 1768720 3537440 7074880 42294517 84589034 169178068 211472585 338356136 422945170 676712272 845890340 1353424544 1691780680 2706849088 3383561360 6767122720 13534245440