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2400434342443 = 2326189835823
BaseRepresentation
bin100010111011100101000…
…010010100101000101011
322111110221101201002210001
4202323211002110220223
5303312042142424233
65034424434403431
7335266000153414
oct42734502245053
98443841632701
102400434342443
11846022675085
12329278730577
1314548ab79677
14842785d680b
1542692ac027d
hex22ee5094a2b

2400434342443 has 24 divisors (see below), whose sum is σ = 2579135549760. Its totient is φ = 2233048920960.

The previous prime is 2400434342441. The next prime is 2400434342459. The reversal of 2400434342443 is 3442434340042.

It is not a de Polignac number, because 2400434342443 - 21 = 2400434342441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400434342441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2454030 + ... + 3289852.

It is an arithmetic number, because the mean of its divisors is an integer number (107463981240).

Almost surely, 22400434342443 is an apocalyptic number.

2400434342443 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2400434342443 is a deficient number, since it is larger than the sum of its proper divisors (178701207317).

2400434342443 is an equidigital number, since it uses as much as digits as its factorization.

2400434342443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836019 (or 835996 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 37.

Adding to 2400434342443 its reverse (3442434340042), we get a palindrome (5842868682485).

The spelling of 2400434342443 in words is "two trillion, four hundred billion, four hundred thirty-four million, three hundred forty-two thousand, four hundred forty-three".

Divisors: 1 23 61 89 529 1403 2047 5429 32269 47081 124867 835823 2871941 19223929 50985203 74388247 442150367 1172659669 1710929681 4537683067 26971172387 39351382663 104366710541 2400434342443