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42232244223224 = 2311643821909091
BaseRepresentation
bin10011001101000111101011…
…11010100011110011111000
312112112100210201020210122202
421212203311322203303320
521013413114010120344
6225453120345005332
711616115244631356
oct1146436572436370
9175470721223582
1042232244223224
1112502659965220
1248a0a85183848
131a74639459613
14a600a15647d6
154d3856cec94e
hex2668f5ea3cf8

42232244223224 has 64 divisors (see below), whose sum is σ = 86623958494080. Its totient is φ = 19143253584000.

The previous prime is 42232244223217. The next prime is 42232244223227.

42232244223224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×422322442232243 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42232244223227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46000919 + ... + 46910009.

It is an arithmetic number, because the mean of its divisors is an integer number (1353499351470).

Almost surely, 242232244223224 is an apocalyptic number.

42232244223224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42232244223224 is an abundant number, since it is smaller than the sum of its proper divisors (44391714270856).

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

42232244223224 is a wasteful number, since it uses less digits than its factorization.

42232244223224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910572 (or 910568 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 4223224 and 4223224, that added together give a palindrome (8446448).

The spelling of 42232244223224 in words is "forty-two trillion, two hundred thirty-two billion, two hundred forty-four million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 643 821 1286 1642 2572 3284 5144 6568 7073 9031 14146 18062 28292 36124 56584 72248 527903 909091 1055806 1818182 2111612 3636364 4223224 5806933 7272728 10000001 11613866 20000002 23227732 40000004 46455464 80000008 584545513 746363711 1169091026 1492727422 2338182052 2985454844 4676364104 5970909688 6430000643 8210000821 12860001286 16420001642 25720002572 32840003284 51440005144 65680006568 479911866173 959823732346 1919647464692 3839294929384 5279030527903 10558061055806 21116122111612 42232244223224