Search a number
-
+
422322121422441 = 331006114281108863
BaseRepresentation
bin110000000000110011000100…
…0000001110011011001101001
32001101022121012202212012021000
41200001212020001303121221
5420323311201041004231
64054112034302105213
7154645523603250642
oct14001461001633151
92041277182765230
10422322121422441
1111262389569a919
123b448a33b7b209
1315185a60c4ac16
1476406dd4046c9
1533c587a7666e6
hex1801988073669

422322121422441 has 32 divisors (see below), whose sum is σ = 625774152407040. Its totient is φ = 281497798108800.

The previous prime is 422322121422433. The next prime is 422322121422457. The reversal of 422322121422441 is 144224121223224.

422322121422441 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 221 + 2 + 1 + 422 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 422322121422441 - 23 = 422322121422433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 422322121422396 and 422322121422405.

It is not an unprimeable number, because it can be changed into a prime (422322121422041) 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, 3879336376 + ... + 3879445238.

It is an arithmetic number, because the mean of its divisors is an integer number (19555442262720).

Almost surely, 2422322121422441 is an apocalyptic number.

It is an amenable number.

422322121422441 is a deficient number, since it is larger than the sum of its proper divisors (203452030984599).

422322121422441 is a wasteful number, since it uses less digits than its factorization.

422322121422441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133214 (or 133208 counting only the distinct ones).

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

Adding to 422322121422441 its reverse (144224121223224), we get a palindrome (566546242645665).

The spelling of 422322121422441 in words is "four hundred twenty-two trillion, three hundred twenty-two billion, one hundred twenty-one million, four hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 10061 14281 30183 42843 90549 108863 128529 271647 326589 385587 979767 2939301 143681141 431043423 1095270643 1293130269 1554672503 3285811929 3879390807 4664017509 9857435787 13992052527 29572307361 41976157581 15641560052683 46924680158049 140774040474147 422322121422441