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430111343111034 = 231314641013766303
BaseRepresentation
bin110000111001011110001100…
…1110100011110101101111010
32002101220020120000122221222010
41201302330121310132231322
5422333421012314023114
64122434231231310350
7156411343020215604
oct14162743164365572
92071806500587863
10430111343111034
1111505721822aa82
12402a656267b3b6
13155cc430507750
14782d70031c174
1534ad2b2da8c59
hex1872f19d1eb7a

430111343111034 has 32 divisors (see below), whose sum is σ = 926394540793344. Its totient is φ = 132341826196800.

The previous prime is 430111343111017. The next prime is 430111343111053.

430111343111034 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4301113431110342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430111343110992 and 430111343111010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112316727 + ... + 116083029.

It is an arithmetic number, because the mean of its divisors is an integer number (28949829399792).

Almost surely, 2430111343111034 is an apocalyptic number.

430111343111034 is an abundant number, since it is smaller than the sum of its proper divisors (496283197682310).

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

430111343111034 is a wasteful number, since it uses less digits than its factorization.

430111343111034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230422.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 430111343111034 in words is "four hundred thirty trillion, one hundred eleven billion, three hundred forty-three million, one hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 1464101 2928202 3766303 4392303 7532606 8784606 11298909 19033313 22597818 38066626 48961939 57099939 97923878 114199878 146885817 293771634 5514247988603 11028495977206 16542743965809 33085487931618 71685223851839 143370447703678 215055671555517 430111343111034