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3433014103343 = 112172962299239
BaseRepresentation
bin110001111101001111100…
…101100000110100101111
3110011012012122200212022012
4301331033211200310233
5422221303102301333
611145034354311435
7503012201256206
oct61751745406457
913135178625265
103433014103343
111103a29a65600
1247541158857b
131bb968b15026
14bc23193c23d
155e479693e48
hex31f4f960d2f

3433014103343 has 48 divisors (see below), whose sum is σ = 4134332664000. Its totient is φ = 2835288529920.

The previous prime is 3433014103331. The next prime is 3433014103357.

3433014103343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3433014103343 - 26 = 3433014103279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433014103373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371573918 + ... + 371583156.

It is an arithmetic number, because the mean of its divisors is an integer number (86131930500).

Almost surely, 23433014103343 is an apocalyptic number.

3433014103343 is a deficient number, since it is larger than the sum of its proper divisors (701318560657).

3433014103343 is a wasteful number, since it uses less digits than its factorization.

3433014103343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15525 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 3433014103343 in words is "three trillion, four hundred thirty-three billion, fourteen million, one hundred three thousand, three hundred forty-three".

Divisors: 1 11 17 29 121 187 319 493 2057 3509 5423 6229 9239 59653 68519 101629 105893 157063 180641 267931 753709 1117919 1164823 1727693 1987051 2947241 3070897 4554827 12813053 19004623 21857561 32419651 33779867 50103097 57549731 371578537 551134067 633047041 978345427 1668942199 6963517451 10761799697 18358364189 28372017383 118379796667 201942006079 312092191213 3433014103343