Search a number
-
+
10422442306404 = 22321092656076021
BaseRepresentation
bin1001011110101010100111…
…1110001010101101100100
31100220101010220221220121200
42113222221332022231210
52331230130212301104
634100000501442500
72123665556611122
oct227525176125544
940811126856550
1010422442306404
113359150a73387
121203b32a10430
135a7aa81506bb
1428063daca912
151311a1bd8b39
hex97aa9f8ab64

10422442306404 has 36 divisors (see below), whose sum is σ = 26587320980220. Its totient is φ = 3442274521920.

The previous prime is 10422442306373. The next prime is 10422442306427. The reversal of 10422442306404 is 40460324422401.

10422442306404 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 4 + 4 + 2 + 3 + 0 + 640 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8942205083904 + 1480237222500 = 2990352^2 + 1216650^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×104224423064042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1328034087 + ... + 1328041934.

It is an arithmetic number, because the mean of its divisors is an integer number (738536693895).

Almost surely, 210422442306404 is an apocalyptic number.

It is an amenable number.

10422442306404 is an abundant number, since it is smaller than the sum of its proper divisors (16164878673816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10422442306404 is a wasteful number, since it uses less digits than its factorization.

10422442306404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656076140 (or 2656076135 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 10422442306404 its reverse (40460324422401), we get a palindrome (50882766728805).

The spelling of 10422442306404 in words is "ten trillion, four hundred twenty-two billion, four hundred forty-two million, three hundred six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 2656076021 5312152042 7968228063 10624304084 15936456126 23904684189 31872912252 47809368378 95618736756 289512286289 579024572578 868536858867 1158049145156 1737073717734 2605610576601 3474147435468 5211221153202 10422442306404