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1314244440 = 233451937577
BaseRepresentation
bin100111001010101…
…1100011101011000
310101120222112110000
41032111130131120
510142421310230
6334224453000
744365615305
oct11625343530
93346875400
101314244440
11614947333
1230817a160
1317c384742
14c678c0ac
157a5a5b60
hex4e55c758

1314244440 has 320 divisors, whose sum is σ = 4783759200. Its totient is φ = 322486272.

The previous prime is 1314244429. The next prime is 1314244441. The reversal of 1314244440 is 444424131.

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 (1314244441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2277432 + ... + 2278008.

Almost surely, 21314244440 is an apocalyptic number.

1314244440 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 1314244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391879600).

1314244440 is an abundant number, since it is smaller than the sum of its proper divisors (3469514760).

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

1314244440 is a wasteful number, since it uses less digits than its factorization.

1314244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1314244440 is about 36252.5094303829. The cubic root of 1314244440 is about 1095.3646374280.

Adding to 1314244440 its reverse (444424131), we get a palindrome (1758668571).

It can be divided in two parts, 13 and 14244440, that added together give a triangular number (14244453 = T5337).

The spelling of 1314244440 in words is "one billion, three hundred fourteen million, two hundred forty-four thousand, four hundred forty".