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15413434240 = 27537364567
BaseRepresentation
bin11100101101011011…
…00101011110000000
31110210012002120211211
432112231211132000
5223031314343430
611025243215504
71053650013031
oct162655453600
943705076754
1015413434240
11659a533306
122ba1b17594
1315b83b23b9
14a630c4a88
1560327d72a
hex396b65780

15413434240 has 64 divisors (see below), whose sum is σ = 36947100960. Its totient is φ = 6148749312.

The previous prime is 15413434213. The next prime is 15413434243. The reversal of 15413434240 is 4243431451.

15413434240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15413434243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206437 + ... + 271003.

Almost surely, 215413434240 is an apocalyptic number.

15413434240 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 15413434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18473550480).

15413434240 is an abundant number, since it is smaller than the sum of its proper divisors (21533666720).

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

15413434240 is an equidigital number, since it uses as much as digits as its factorization.

15413434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64959 (or 64947 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 15413434240 its reverse (4243431451), we get a palindrome (19656865691).

The spelling of 15413434240 in words is "fifteen billion, four hundred thirteen million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 373 640 746 1492 1865 2984 3730 5968 7460 11936 14920 23872 29840 47744 59680 64567 119360 129134 238720 258268 322835 516536 645670 1033072 1291340 2066144 2582680 4132288 5165360 8264576 10330720 20661440 24083491 41322880 48166982 96333964 120417455 192667928 240834910 385335856 481669820 770671712 963339640 1541343424 1926679280 3082686848 3853358560 7706717120 15413434240