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3431466641343 = 3131732837512393
BaseRepresentation
bin110001111011110011010…
…110011010011110111111
3110011001012210212122111210
4301323303112122132333
5422210120430010333
611144221035015503
7502625641124166
oct61736326323677
913131183778453
103431466641343
111103305508494
1247505b29a593
131bb780345940
14bc1262023dd
155e3d88c1a63
hex31ef359a7bf

3431466641343 has 64 divisors (see below), whose sum is σ = 4981929781248. Its totient is φ = 2088388224000.

The previous prime is 3431466641311. The next prime is 3431466641363.

3431466641343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3431466641343 - 25 = 3431466641311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3431466641292 and 3431466641301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431466641363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1433958955 + ... + 1433961347.

It is an arithmetic number, because the mean of its divisors is an integer number (77842652832).

Almost surely, 23431466641343 is an apocalyptic number.

3431466641343 is a deficient number, since it is larger than the sum of its proper divisors (1550463139905).

3431466641343 is a wasteful number, since it uses less digits than its factorization.

3431466641343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616.

The product of its digits is 4478976, while the sum is 48.

The spelling of 3431466641343 in words is "three trillion, four hundred thirty-one billion, four hundred sixty-six million, six hundred forty-one thousand, three hundred forty-three".

Divisors: 1 3 13 39 173 283 519 751 849 2249 2253 2393 3679 6747 7179 9763 11037 29289 31109 48959 93327 129923 146877 212533 389769 413989 636467 637599 677219 1241967 1688999 1797143 1909401 2031657 2762929 5066997 5381857 5391429 8288787 8803847 16145571 23362859 26411541 36768209 70088577 110304627 117158887 310905739 351476661 477986717 508591469 932717217 1433960151 1523065531 1525774407 4041774607 4569196593 6611689097 12125323821 19835067291 87986324137 263958972411 1143822213781 3431466641343