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42223244232224 = 25112335391473671
BaseRepresentation
bin10011001100110110111010…
…11110010100011000100000
312112111111120111011212222202
421212123131132110120200
521013241201010412344
6225445031323552332
711615346232155506
oct1146333536243040
9175444514155882
1042223244232224
11124a986067a830
12489b19308b6a8
131a738339b0463
14a5d88a152676
154d34cbb2394e
hex2666dd794620

42223244232224 has 96 divisors (see below), whose sum is σ = 94653598878720. Its totient is φ = 18352732499200.

The previous prime is 42223244232217. The next prime is 42223244232241.

42223244232224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27914909 + ... + 29388579.

It is an arithmetic number, because the mean of its divisors is an integer number (985974988320).

Almost surely, 242223244232224 is an apocalyptic number.

42223244232224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42223244232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47326799439360).

42223244232224 is an abundant number, since it is smaller than the sum of its proper divisors (52430354646496).

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

42223244232224 is a wasteful number, since it uses less digits than its factorization.

42223244232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477254 (or 1477246 counting only the distinct ones).

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

It can be divided in two parts, 4222324 and 4232224, that added together give a palindrome (8454548).

The spelling of 42223244232224 in words is "forty-two trillion, two hundred twenty-three billion, two hundred forty-four million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 3539 4048 7078 8096 14156 28312 38929 56624 77858 81397 113248 155716 162794 311432 325588 622864 651176 895367 1245728 1302352 1473671 1790734 2604704 2947342 3581468 5894684 7162936 11789368 14325872 16210381 23578736 28651744 32420762 33894433 47157472 64841524 67788866 129683048 135577732 259366096 271155464 372838763 518732192 542310928 745677526 1084621856 1491355052 2982710104 5215321669 5965420208 10430643338 11930840416 20861286676 41722573352 57368538359 83445146704 114737076718 119952398387 166890293408 229474153436 239904796774 458948306872 479809593548 917896613744 959619187096 1319476382257 1835793227488 1919238374192 2638952764514 3838476748384 5277905529028 10555811058056 21111622116112 42223244232224