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1014132016 = 24312044621
BaseRepresentation
bin111100011100100…
…110110100110000
32121200021020121001
4330130212310300
54034104211031
6244344211344
734062660052
oct7434466460
92550236531
101014132016
114804a6437
12243769b54
13132147721
14989898d2
155e073861
hex3c726d30

1014132016 has 20 divisors (see below), whose sum is σ = 2028265024. Its totient is φ = 490708800.

The previous prime is 1014132013. The next prime is 1014132017. The reversal of 1014132016 is 6102314101.

1014132016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

1014132016 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 1014131984 and 1014132002.

It is not an unprimeable number, because it can be changed into a prime (1014132013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1021815 + ... + 1022806.

Almost surely, 21014132016 is an apocalyptic number.

1014132016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1014132016 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1014132016 is a wasteful number, since it uses less digits than its factorization.

1014132016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044660 (or 2044654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1014132016 is about 31845.4394851131. The cubic root of 1014132016 is about 1004.6886541645.

Adding to 1014132016 its reverse (6102314101), we get a palindrome (7116446117).

The spelling of 1014132016 in words is "one billion, fourteen million, one hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 496 2044621 4089242 8178484 16356968 32713936 63383251 126766502 253533004 507066008 1014132016