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13280440320 = 21233574773
BaseRepresentation
bin11000101111001001…
…10111000000000000
31021021112111021021000
430113210313000000
5204144243042240
610033445532000
7650046610620
oct142744670000
937245437230
1013280440320
1156a550a414
1226a7714000
131338511914
148ddaca880
1552ad9a430
hex317937000

13280440320 has 832 divisors, whose sum is σ = 55861309440. Its totient is φ = 2930245632.

The previous prime is 13280440301. The next prime is 13280440321. The reversal of 13280440320 is 2304408231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13280440321) 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 63 ways as a sum of consecutive naturals, for example, 181923804 + ... + 181923876.

Almost surely, 213280440320 is an apocalyptic number.

13280440320 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 13280440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27930654720).

13280440320 is an abundant number, since it is smaller than the sum of its proper divisors (42580869120).

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

13280440320 is an equidigital number, since it uses as much as digits as its factorization.

13280440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13280440320 its reverse (2304408231), we get a palindrome (15584848551).

The spelling of 13280440320 in words is "thirteen billion, two hundred eighty million, four hundred forty thousand, three hundred twenty".