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2424040431141 = 371531306124631
BaseRepresentation
bin100011010001100100000…
…100011001111000100101
322120201212112201122202110
4203101210010121320211
5304203413322244031
65053331103031233
7340062660461430
oct43214404317045
98521775648673
102424040431141
118550366a099a
1233196629b519
131477806868a4
14854777b4817
15430c5201c46
hex23464119e25

2424040431141 has 32 divisors (see below), whose sum is σ = 3697546172416. Its totient is φ = 1383752808000.

The previous prime is 2424040431107. The next prime is 2424040431157. The reversal of 2424040431141 is 1411340404242.

It is a happy number.

It is not a de Polignac number, because 2424040431141 - 211 = 2424040429093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2424040431099 and 2424040431108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424040431191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98401896 + ... + 98426526.

It is an arithmetic number, because the mean of its divisors is an integer number (115548317888).

Almost surely, 22424040431141 is an apocalyptic number.

2424040431141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2424040431141 is a deficient number, since it is larger than the sum of its proper divisors (1273505741275).

2424040431141 is a wasteful number, since it uses less digits than its factorization.

2424040431141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29233.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2424040431141 its reverse (1411340404242), we get a palindrome (3835380835383).

The spelling of 2424040431141 in words is "two trillion, four hundred twenty-four billion, forty million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 7 21 1531 3061 4593 9183 10717 21427 24631 32151 64281 73893 172417 517251 4686391 14059173 32804737 37710061 75395491 98414211 113130183 226186473 263970427 527768437 791911281 1583305311 115430496721 346291490163 808013477047 2424040431141