Search a number
-
+
22145144405321 = 729676132656117
BaseRepresentation
bin1010000100100000100010…
…11101110011110101001001
32220102001111012010002210102
411002100101131303311021
510400311223431432241
6115033201111255145
74443635215432340
oct502202135636511
986361435102712
1022145144405321
11706878076a903
122597a6407a4b5
13c483801591c2
14567b8b66ab57
152860a551339b
hex142411773d49

22145144405321 has 32 divisors (see below), whose sum is σ = 26615577296640. Its totient is φ = 18024020695296.

The previous prime is 22145144405303. The next prime is 22145144405323. The reversal of 22145144405321 is 12350444154122.

It is not a de Polignac number, because 22145144405321 - 222 = 22145140211017 is a prime.

It is a super-2 number, since 2×221451444053212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22145144405323) 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, 7009355 + ... + 9665471.

It is an arithmetic number, because the mean of its divisors is an integer number (831736790520).

Almost surely, 222145144405321 is an apocalyptic number.

It is an amenable number.

22145144405321 is a deficient number, since it is larger than the sum of its proper divisors (4470432891319).

22145144405321 is a wasteful number, since it uses less digits than its factorization.

22145144405321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656833.

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 22145144405321 its reverse (12350444154122), we get a palindrome (34495588559443).

The spelling of 22145144405321 in words is "twenty-two trillion, one hundred forty-five billion, one hundred forty-four million, four hundred five thousand, three hundred twenty-one".

Divisors: 1 7 29 67 203 469 613 1943 4291 13601 17777 41071 124439 287497 1191059 2656117 8337413 18592819 77027393 177959839 539191751 1245718873 1628199721 5160835331 11397398047 36125847317 47217791909 109089381307 330524543363 763625669149 3163592057903 22145144405321