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1514230016 = 2813676791
BaseRepresentation
bin101101001000001…
…0101000100000000
310220112021212002012
41122100111010000
511100120330031
6410131112052
752344512525
oct13220250400
93815255065
101514230016
1170781a472
12363142628
131b19352c0
1410516914c
158ce0ab2b
hex5a415100

1514230016 has 72 divisors (see below), whose sum is σ = 3304117824. Its totient is φ = 688343040.

The previous prime is 1514230013. The next prime is 1514230019. The reversal of 1514230016 is 6100324151.

It is an interprime number because it is at equal distance from previous prime (1514230013) and next prime (1514230019).

It is a junction number, because it is equal to n+sod(n) for n = 1514229973 and 1514230000.

It is not an unprimeable number, because it can be changed into a prime (1514230013) 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, 219581 + ... + 226371.

Almost surely, 21514230016 is an apocalyptic number.

1514230016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1514230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652058912).

1514230016 is an abundant number, since it is smaller than the sum of its proper divisors (1789887808).

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

1514230016 is an equidigital number, since it uses as much as digits as its factorization.

1514230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1514230016 is about 38913.1085368414. The cubic root of 1514230016 is about 1148.3227006224.

Adding to 1514230016 its reverse (6100324151), we get a palindrome (7614554167).

The spelling of 1514230016 in words is "one billion, five hundred fourteen million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 256 268 416 536 832 871 1072 1664 1742 2144 3328 3484 4288 6791 6968 8576 13582 13936 17152 27164 27872 54328 55744 88283 108656 111488 176566 217312 222976 353132 434624 454997 706264 869248 909994 1412528 1738496 1819988 2825056 3639976 5650112 5914961 7279952 11300224 11829922 14559904 22600448 23659844 29119808 47319688 58239616 94639376 116479232 189278752 378557504 757115008 1514230016