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1314156720 = 24355475653
BaseRepresentation
bin100111001010100…
…0111000010110000
310101120211002010010
41032111013002300
510142411003340
6334222534520
744365101462
oct11625070260
93346732103
101314156720
11614897438
12308137440
1317c353836
14c6768132
157a589b80
hex4e5470b0

1314156720 has 40 divisors (see below), whose sum is σ = 4073886576. Its totient is φ = 350441728.

The previous prime is 1314156719. The next prime is 1314156749. The reversal of 1314156720 is 276514131.

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

It is a super-3 number, since 3×13141567203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 2737587 + ... + 2738066.

Almost surely, 21314156720 is an apocalyptic number.

1314156720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314156720 is an abundant number, since it is smaller than the sum of its proper divisors (2759729856).

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

1314156720 is a wasteful number, since it uses less digits than its factorization.

1314156720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475669 (or 5475663 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1314156720 is about 36251.2995629122. The cubic root of 1314156720 is about 1095.3402666385.

The spelling of 1314156720 in words is "one billion, three hundred fourteen million, one hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5475653 10951306 16426959 21902612 27378265 32853918 43805224 54756530 65707836 82134795 87610448 109513060 131415672 164269590 219026120 262831344 328539180 438052240 657078360 1314156720