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434130278385 = 35233207739229
BaseRepresentation
bin1100101000101000010…
…11100101011111110001
31112111120021201011011110
412110110023211133301
524103044322402020
6531234154303533
743236103323546
oct6242413453761
91474507634143
10434130278385
11158128251741
1270179427ba9
1331c2760a23b
1417024d94bcd
15b45ce2d8e0
hex65142e57f1

434130278385 has 32 divisors (see below), whose sum is σ = 724849885440. Its totient is φ = 221456809728.

The previous prime is 434130278357. The next prime is 434130278389. The reversal of 434130278385 is 583872031434.

It is not a de Polignac number, because 434130278385 - 212 = 434130274289 is a prime.

It is a super-2 number, since 2×4341302783852 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434130278389) 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, 11046951 + ... + 11086179.

It is an arithmetic number, because the mean of its divisors is an integer number (22651558920).

Almost surely, 2434130278385 is an apocalyptic number.

It is an amenable number.

434130278385 is a deficient number, since it is larger than the sum of its proper divisors (290719607055).

434130278385 is a wasteful number, since it uses less digits than its factorization.

434130278385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71337.

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 434130278385 in words is "four hundred thirty-four billion, one hundred thirty million, two hundred seventy-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 15 23 69 115 345 32077 39229 96231 117687 160385 196145 481155 588435 737771 902267 2213313 2706801 3688855 4511335 11066565 13534005 1258348633 3775045899 6291743165 18875229495 28942018559 86826055677 144710092795 434130278385