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1440014368 = 251310134273
BaseRepresentation
bin101010111010100…
…1110000000100000
310201100122022100111
41111311032000200
510422120424433
6354520301104
750453630422
oct12565160040
93640568314
101440014368
1167993a121
12342311794
1319c44ba10
14d936a812
158664adcd
hex55d4e020

1440014368 has 48 divisors (see below), whose sum is σ = 3083426136. Its totient is φ = 658022400.

The previous prime is 1440014363. The next prime is 1440014413. The reversal of 1440014368 is 8634100441.

It can be written as a sum of positive squares in 4 ways, for example, as 1435803664 + 4210704 = 37892^2 + 2052^2 .

It is not an unprimeable number, because it can be changed into a prime (1440014363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24880 + ... + 59152.

Almost surely, 21440014368 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 1440014368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541713068).

1440014368 is an abundant number, since it is smaller than the sum of its proper divisors (1643411768).

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

1440014368 is a wasteful number, since it uses less digits than its factorization.

1440014368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34397 (or 34389 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1440014368 is about 37947.5212365709. The cubic root of 1440014368 is about 1129.2469904241.

The spelling of 1440014368 in words is "one billion, four hundred forty million, fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2626 3232 5252 10504 21008 34273 42016 68546 137092 274184 445549 548368 891098 1096736 1782196 3461573 3564392 6923146 7128784 13846292 14257568 27692584 45000449 55385168 90000898 110770336 180001796 360003592 720007184 1440014368