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42144420435 = 35131712713249
BaseRepresentation
bin100111010000000000…
…001101001001010011
311000210010011101022120
4213100000031021103
51142302432423220
631205541105323
73021243443265
oct472000151123
9130703141276
1042144420435
1116967476937
1282020b8243
133c88423cb0
14207b2dbb35
151169dc5a40
hex9d000d253

42144420435 has 32 divisors (see below), whose sum is σ = 76889736000. Its totient is φ = 19527548928.

The previous prime is 42144420427. The next prime is 42144420499. The reversal of 42144420435 is 53402444124.

It is not a de Polignac number, because 42144420435 - 23 = 42144420427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42144420396 and 42144420405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6353310 + ... + 6359939.

It is an arithmetic number, because the mean of its divisors is an integer number (2402804250).

Almost surely, 242144420435 is an apocalyptic number.

42144420435 is a deficient number, since it is larger than the sum of its proper divisors (34745315565).

42144420435 is a wasteful number, since it uses less digits than its factorization.

42144420435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12713287.

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 42144420435 its reverse (53402444124), we get a palindrome (95546864559).

The spelling of 42144420435 in words is "forty-two billion, one hundred forty-four million, four hundred twenty thousand, four hundred thirty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 12713249 38139747 63566245 165272237 190698735 216125233 495816711 648375699 826361185 1080626165 2479083555 2809628029 3241878495 8428884087 14048140145 42144420435