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2400022142331 = 3112326911754961
BaseRepresentation
bin100010111011001100011…
…101111001110101111011
322111102212200002011112020
4202323030131321311323
5303310221132023311
65034315511445523
7335252533420002
oct42731435716573
98442780064466
102400022142331
11845930a27030
123291826868a3
13145423655c88
1484239977c39
154266b7ebc06
hex22ecc779d7b

2400022142331 has 32 divisors (see below), whose sum is σ = 3656263380480. Its totient is φ = 1386144883200.

The previous prime is 2400022142311. The next prime is 2400022142381. The reversal of 2400022142331 is 1332412200042.

It is a happy number.

It is not a de Polignac number, because 2400022142331 - 29 = 2400022141819 is a prime.

It is a super-2 number, since 2×24000221423312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400022142311) 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, 5673310 + ... + 6081651.

It is an arithmetic number, because the mean of its divisors is an integer number (114258230640).

Almost surely, 22400022142331 is an apocalyptic number.

2400022142331 is a deficient number, since it is larger than the sum of its proper divisors (1256241238149).

2400022142331 is a wasteful number, since it uses less digits than its factorization.

2400022142331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755267.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2400022142331 its reverse (1332412200042), we get a palindrome (3732434342373).

The spelling of 2400022142331 in words is "two trillion, four hundred billion, twenty-two million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 23 33 69 253 269 759 807 2959 6187 8877 18561 68057 204171 11754961 35264883 129304571 270364103 387913713 811092309 2974005133 3162084509 8922015399 9486253527 34782929599 72727943707 104348788797 218183831121 800007380777 2400022142331