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7130400314 = 237884910889
BaseRepresentation
bin1101010010000000…
…10100011000111010
3200101221002212101112
412221000110120322
5104100340302224
63135313120322
7341461255052
oct65100243072
920357085345
107130400314
113029a1a324
12146bb590a2
138983319ab
144b8dc2562
152baec630e
hex1a901463a

7130400314 has 16 divisors (see below), whose sum is σ = 10986921000. Its totient is φ = 3468132864.

The previous prime is 7130400311. The next prime is 7130400331. The reversal of 7130400314 is 4130040317.

It can be written as a sum of positive squares in 4 ways, for example, as 3178140625 + 3952259689 = 56375^2 + 62867^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7130400314.

It is not an unprimeable number, because it can be changed into a prime (7130400311) 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, 649382 + ... + 660270.

Almost surely, 27130400314 is an apocalyptic number.

7130400314 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

7130400314 is a deficient number, since it is larger than the sum of its proper divisors (3856520686).

7130400314 is a wasteful number, since it uses less digits than its factorization.

7130400314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19777.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 7130400314 is about 84441.6977209720. The cubic root of 7130400314 is about 1924.7365975910.

The spelling of 7130400314 in words is "seven billion, one hundred thirty million, four hundred thousand, three hundred fourteen".

Divisors: 1 2 37 74 8849 10889 17698 21778 327413 402893 654826 805786 96356761 192713522 3565200157 7130400314