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422424344001141 = 32373506936172733
BaseRepresentation
bin110000000001100010101010…
…0111101111111101001110101
32001101200101001211200020022100
41200003011110331333221311
5420332000024031014031
64054231021542452313
7154656103015654506
oct14003052475775165
92041611054606270
10422424344001141
11112663181677219
123b464802134099
13151925a2066091
1476456396dcbad
1533c835eb7cde6
hex1803154f7fa75

422424344001141 has 24 divisors (see below), whose sum is σ = 626677424001720. Its totient is φ = 273997159007616.

The previous prime is 422424344001119. The next prime is 422424344001161. The reversal of 422424344001141 is 141100443424224.

422424344001141 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 243 + 4 + 400 + 1 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155402926177041 + 267021417824100 = 12466071^2 + 16340790^2 .

It is not a de Polignac number, because 422424344001141 - 211 = 422424343999093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 422424344001096 and 422424344001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422424344001161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6408390 + ... + 29764343.

It is an arithmetic number, because the mean of its divisors is an integer number (26111559333405).

Almost surely, 2422424344001141 is an apocalyptic number.

It is an amenable number.

422424344001141 is a deficient number, since it is larger than the sum of its proper divisors (204253080000579).

422424344001141 is a wasteful number, since it uses less digits than its factorization.

422424344001141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36207845 (or 36207842 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 422424344001141 its reverse (141100443424224), we get a palindrome (563524787425365).

The spelling of 422424344001141 in words is "four hundred twenty-two trillion, four hundred twenty-four billion, three hundred forty-four million, one thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 35069 105207 315621 1297553 3892659 11677977 36172733 108518199 325554597 1338391121 4015173363 12045520089 1268541573577 3805624720731 11416874162193 46936038222349 140808114667047 422424344001141