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1314968240 = 24542139043
BaseRepresentation
bin100111001100000…
…1101001010110000
310101122100022022102
41032120031022300
510143112440430
6334252155532
744405021435
oct11630151260
93348308272
101314968240
116152a1113
12308468ba8
1317c579021
14c68d9b8c
157a69a345
hex4e60d2b0

1314968240 has 40 divisors (see below), whose sum is σ = 3064641648. Its totient is φ = 524724480.

The previous prime is 1314968233. The next prime is 1314968243. The reversal of 1314968240 is 428694131.

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

It is a junction number, because it is equal to n+sod(n) for n = 1314968194 and 1314968203.

It is not an unprimeable number, because it can be changed into a prime (1314968243) 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 7 ways as a sum of consecutive naturals, for example, 14159 + ... + 53201.

Almost surely, 21314968240 is an apocalyptic number.

1314968240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314968240 is an abundant number, since it is smaller than the sum of its proper divisors (1749673408).

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

1314968240 is a wasteful number, since it uses less digits than its factorization.

1314968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39477 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1314968240 is about 36262.4908135114. The cubic root of 1314968240 is about 1095.5656856246.

The spelling of 1314968240 in words is "one billion, three hundred fourteen million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1684 2105 3368 4210 6736 8420 16840 33680 39043 78086 156172 195215 312344 390430 624688 780860 1561720 3123440 16437103 32874206 65748412 82185515 131496824 164371030 262993648 328742060 657484120 1314968240