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42422444422424 = 23115925433213029
BaseRepresentation
bin10011010010101001111101…
…01110101111010100011000
312120012112202002111000200222
421221110332232233110120
521030022131233004144
6230120334003215212
711635630501640513
oct1151247656572430
9176175662430628
1042422444422424
1112576291a1aaa0
124911906977508
131a8955b3b51a1
14a69385d17d7a
154d8789c5c2ee
hex26953ebaf518

42422444422424 has 64 divisors (see below), whose sum is σ = 88278641856000. Its totient is φ = 18948639848320.

The previous prime is 42422444422411. The next prime is 42422444422433.

42422444422424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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

It is a congruent number.

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, 11596742 + ... + 14809770.

It is an arithmetic number, because the mean of its divisors is an integer number (1379353779000).

Almost surely, 242422444422424 is an apocalyptic number.

42422444422424 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 42422444422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44139320928000).

42422444422424 is an abundant number, since it is smaller than the sum of its proper divisors (45856197433576).

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

42422444422424 is a wasteful number, since it uses less digits than its factorization.

42422444422424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215648 (or 3215644 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 44.

It can be divided in two parts, 4242244 and 4422424, that added together give a palindrome (8664668).

The spelling of 42422444422424 in words is "forty-two trillion, four hundred twenty-two billion, four hundred forty-four million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 2543 2596 5086 5192 10172 20344 27973 55946 111892 150037 223784 300074 600148 1200296 1650407 3213029 3300814 6426058 6601628 12852116 13203256 25704232 35343319 70686638 141373276 189568711 282746552 379137422 758274844 1516549688 2085255821 4170511642 8170732747 8341023284 16341465494 16682046568 32682930988 65365861976 89878060217 179756120434 359512240868 482073232073 719024481736 964146464146 1928292928292 3856585856584 5302805552803 10605611105606 21211222211212 42422444422424