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42221111112224 = 2511119946338387
BaseRepresentation
bin10011001100110010111100…
…10101000111001000100000
312112111022001211100011110022
421212121132111013020200
521013222313421042344
6225444035523453012
711615242331016662
oct1146313625071040
9175438054304408
1042221111112224
11124a8966580140
12489a898827168
131a73583a97485
14a5d726b24532
154d34047180ee
hex26665e547220

42221111112224 has 24 divisors (see below), whose sum is σ = 90679431821328. Its totient is φ = 19191414141760.

The previous prime is 42221111112157. The next prime is 42221111112233.

42221111112224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42221111112193 and 42221111112202.

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, 59973168842 + ... + 59973169545.

It is an arithmetic number, because the mean of its divisors is an integer number (3778309659222).

Almost surely, 242221111112224 is an apocalyptic number.

42221111112224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42221111112224 is an abundant number, since it is smaller than the sum of its proper divisors (48458320709104).

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

42221111112224 is a wasteful number, since it uses less digits than its factorization.

42221111112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119946338408 (or 119946338400 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 4222111 and 1112224, that added together give a palindrome (5334335).

The spelling of 42221111112224 in words is "forty-two trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 119946338387 239892676774 479785353548 959570707096 1319409722257 1919141414192 2638819444514 3838282828384 5277638889028 10555277778056 21110555556112 42221111112224