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14007073743 = 331343928051
BaseRepresentation
bin11010000101110001…
…01111101111001111
31100011011210001221000
431002320233233033
5212141302324433
610233524111343
71004052106455
oct150270575717
940134701830
1014007073743
115a3869a903
12286ab35553
131422c17820
1496c3d89d5
1556ea7e113
hex342e2fbcf

14007073743 has 32 divisors (see below), whose sum is σ = 22867201280. Its totient is φ = 8419269600.

The previous prime is 14007073727. The next prime is 14007073777. The reversal of 14007073743 is 34737070041.

It is not a de Polignac number, because 14007073743 - 24 = 14007073727 is a prime.

It is a super-2 number, since 2×140070737432 (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 = 14007073698 and 14007073707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14007073723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448933 + ... + 479118.

It is an arithmetic number, because the mean of its divisors is an integer number (714600040).

Almost surely, 214007073743 is an apocalyptic number.

14007073743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

14007073743 is a deficient number, since it is larger than the sum of its proper divisors (8860127537).

14007073743 is a wasteful number, since it uses less digits than its factorization.

14007073743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928116 (or 928110 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 14007073743 in words is "fourteen billion, seven million, seventy-three thousand, seven hundred forty-three".

Divisors: 1 3 9 13 27 39 43 117 129 351 387 559 1161 1677 5031 15093 928051 2784153 8352459 12064663 25057377 36193989 39906193 108581967 119718579 325745901 359155737 518780509 1077467211 1556341527 4669024581 14007073743