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1314503440 = 24537444089
BaseRepresentation
bin100111001011001…
…1011101100010000
310101121110200201121
41032112123230100
510143003102230
6334234212024
744401044355
oct11626335420
93347420647
101314503440
11615003988
12308284014
1317c4455b3
14c681862c
157a60777a
hex4e59bb10

1314503440 has 40 divisors (see below), whose sum is σ = 3138828120. Its totient is φ = 511589376.

The previous prime is 1314503431. The next prime is 1314503459. The reversal of 1314503440 is 443054131.

It can be written as a sum of positive squares in 4 ways, for example, as 113465104 + 1201038336 = 10652^2 + 34656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219085 + ... + 225004.

It is an arithmetic number, because the mean of its divisors is an integer number (78470703).

Almost surely, 21314503440 is an apocalyptic number.

1314503440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314503440 is an abundant number, since it is smaller than the sum of its proper divisors (1824324680).

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

1314503440 is a wasteful number, since it uses less digits than its factorization.

1314503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444139 (or 444133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1314503440 is about 36256.0814209148. The cubic root of 1314503440 is about 1095.4365877183.

Adding to 1314503440 its reverse (443054131), we get a palindrome (1757557571).

The spelling of 1314503440 in words is "one billion, three hundred fourteen million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 444089 888178 1776356 2220445 3552712 4440890 7105424 8881780 16431293 17763560 32862586 35527120 65725172 82156465 131450344 164312930 262900688 328625860 657251720 1314503440