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13804239024 = 2431019769
BaseRepresentation
bin11001101101100101…
…11111100010110000
31022122001010000000000
430312302333202300
5211232341122044
610201440430000
7666040044552
oct146662774260
938561100000
1013804239024
115944151104
122813018300
1313bcbaa194
1494d4b94d2
1555bd64d69
hex336cbf8b0

13804239024 has 220 divisors, whose sum is σ = 42284750200. Its totient is φ = 4353564672.

The previous prime is 13804239019. The next prime is 13804239041. The reversal of 13804239024 is 42093240831.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13804239024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 17950512 + ... + 17951280.

It is an arithmetic number, because the mean of its divisors is an integer number (192203410).

Almost surely, 213804239024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13804239024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21142375100).

13804239024 is an abundant number, since it is smaller than the sum of its proper divisors (28480511176).

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

13804239024 is an frugal number, since it uses more digits than its factorization.

13804239024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13804239024 its reverse (42093240831), we get a palindrome (55897479855).

The spelling of 13804239024 in words is "thirteen billion, eight hundred four million, two hundred thirty-nine thousand, twenty-four".