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13993830143 = 1729531393853
BaseRepresentation
bin11010000100001100…
…01110011011111111
31100010020212020010022
431002012032123333
5212124410031033
610232332202355
71003531410416
oct150206163377
940106766108
1013993830143
115a31174787
1228666093bb
13142025b787
1496a74c47d
1556d815098
hex34218e6ff

13993830143 has 32 divisors (see below), whose sum is σ = 15733569600. Its totient is φ = 12383594496.

The previous prime is 13993830139. The next prime is 13993830247. The reversal of 13993830143 is 34103839931.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13993830143 - 22 = 13993830139 is a prime.

It is a super-2 number, since 2×139938301432 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13993830094 and 13993830103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13993830343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3630005 + ... + 3633857.

It is an arithmetic number, because the mean of its divisors is an integer number (491674050).

Almost surely, 213993830143 is an apocalyptic number.

13993830143 is a deficient number, since it is larger than the sum of its proper divisors (1739739457).

13993830143 is a wasteful number, since it uses less digits than its factorization.

13993830143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091.

The product of its (nonzero) digits is 209952, while the sum is 44.

The spelling of 13993830143 in words is "thirteen billion, nine hundred ninety-three million, eight hundred thirty thousand, one hundred forty-three".

Divisors: 1 17 29 53 139 493 901 1537 2363 3853 4031 7367 26129 65501 68527 111737 125239 204209 213643 535567 1899529 3471553 3631931 5922061 9104639 15531443 28385051 100675037 264034531 482545867 823166479 13993830143