Search a number
-
+
42211311311224 = 2311479673992173
BaseRepresentation
bin10011001100100000101100…
…01101110101100101111000
312112110100202212021200201201
421212100112031311211320
521013042231143424344
6225435335252023544
711614444434051406
oct1146202615654570
9175410685250651
1042211311311224
11124a4797874650
124898a02901bb4
131a72681703a63
14a5d0773d6476
154d302e2034d4
hex266416375978

42211311311224 has 16 divisors (see below), whose sum is σ = 86341318591320. Its totient is φ = 19186959686880.

The previous prime is 42211311311219. The next prime is 42211311311263.

42211311311224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422113113112242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42211311311192 and 42211311311201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239836995999 + ... + 239836996174.

Almost surely, 242211311311224 is an apocalyptic number.

42211311311224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42211311311224 is an abundant number, since it is smaller than the sum of its proper divisors (44130007280096).

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

42211311311224 is a wasteful number, since it uses less digits than its factorization.

42211311311224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479673992190 (or 479673992186 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 4221131 and 1311224, that added together give a palindrome (5532355).

The spelling of 42211311311224 in words is "forty-two trillion, two hundred eleven billion, three hundred eleven million, three hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 479673992173 959347984346 1918695968692 3837391937384 5276413913903 10552827827806 21105655655612 42211311311224