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430024101420034 = 21122961274451613
BaseRepresentation
bin110000111000110101100100…
…1110011110101110000000010
32002101120220101000000212110101
41201301223021303311300002
5422331003324430420114
64122330202303153014
7156402134053120342
oct14161531163656002
92071526330025411
10430024101420034
11115023219601300
12402916755a576a
13155c4138ca6294
1478293c58b0d22
1534aada8c7dd74
hex1871ac9cf5c02

430024101420034 has 24 divisors (see below), whose sum is σ = 733455185819580. Its totient is φ = 188725310964960.

The previous prime is 430024101419953. The next prime is 430024101420041.

430024101420034 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 396440952180625 + 33583149239409 = 19910825^2 + 5795097^2 .

It is a super-2 number, since 2×4300241014200342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430024101419984 and 430024101420011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30637218789 + ... + 30637232824.

Almost surely, 2430024101420034 is an apocalyptic number.

430024101420034 is a deficient number, since it is larger than the sum of its proper divisors (303431084399546).

430024101420034 is a wasteful number, since it uses less digits than its factorization.

430024101420034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61274451666 (or 61274451655 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 43002410 and 1420034, that added together give a palindrome (44422444).

The spelling of 430024101420034 in words is "four hundred thirty trillion, twenty-four billion, one hundred one million, four hundred twenty thousand, thirty-four".

Divisors: 1 2 11 22 29 58 121 242 319 638 3509 7018 61274451613 122548903226 674018967743 1348037935486 1776959096777 3553918193554 7414208645173 14828417290346 19546550064547 39093100129094 215012050710017 430024101420034