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14314440002130 = 2325224370909199
BaseRepresentation
bin1101000001001101011100…
…0111001000101001010010
31212200110001221021002112100
43100103113013020221102
53334011433120032010
650235543555341230
73005120111310462
oct320232707105122
955613057232470
1014314440002130
1146197a1228244
121732298bb1816
137caacc59a7c8
14376b732a1ba2
1519c5411562c0
hexd04d71c8a52

14314440002130 has 48 divisors (see below), whose sum is σ = 37234137283200. Its totient is φ = 3815482125984.

The previous prime is 14314440002089. The next prime is 14314440002171. The reversal of 14314440002130 is 3120004441341.

14314440002130 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 4 + 440 + 0 + 0 + 213 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14314440002089) and next prime (14314440002171).

It is a junction number, because it is equal to n+sod(n) for n = 14314440002094 and 14314440002103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35252730 + ... + 35656469.

It is an arithmetic number, because the mean of its divisors is an integer number (775711193400).

Almost surely, 214314440002130 is an apocalyptic number.

14314440002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14314440002130 is an abundant number, since it is smaller than the sum of its proper divisors (22919697281070).

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

14314440002130 is a wasteful number, since it uses less digits than its factorization.

14314440002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70911455 (or 70911452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14314440002130 its reverse (3120004441341), we get a palindrome (17434444443471).

The spelling of 14314440002130 in words is "fourteen trillion, three hundred fourteen billion, four hundred forty million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2243 4486 6729 11215 13458 20187 22430 33645 40374 67290 100935 201870 70909199 141818398 212727597 354545995 425455194 638182791 709091990 1063637985 1276365582 2127275970 3190913955 6381827910 159049333357 318098666714 477148000071 795246666785 954296000142 1431444000213 1590493333570 2385740000355 2862888000426 4771480000710 7157220001065 14314440002130