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14007346680 = 2335532202413
BaseRepresentation
bin11010000101110011…
…10010010111111000
31100011012021221022210
431002321302113320
5212141340043210
610233534015120
71004054324265
oct150271622770
940135257283
1014007346680
115a38866978
12286b0474a0
131422cb1b22
1496c46a26c
1556ead4e20
hex342e725f8

14007346680 has 64 divisors (see below), whose sum is σ = 42814928160. Its totient is φ = 3664813568.

The previous prime is 14007346663. The next prime is 14007346681. The reversal of 14007346680 is 8664370041.

It is a super-2 number, since 2×140073466802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14007346681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094847 + ... + 1107566.

Almost surely, 214007346680 is an apocalyptic number.

14007346680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14007346680 is an abundant number, since it is smaller than the sum of its proper divisors (28807581480).

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

14007346680 is a wasteful number, since it uses less digits than its factorization.

14007346680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202480 (or 2202476 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 14007346680 in words is "fourteen billion, seven million, three hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 2202413 4404826 6607239 8809652 11012065 13214478 17619304 22024130 26428956 33036195 44048260 52857912 66072390 88096520 116727889 132144780 233455778 264289560 350183667 466911556 583639445 700367334 933823112 1167278890 1400734668 1750918335 2334557780 2801469336 3501836670 4669115560 7003673340 14007346680