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42234222243224 = 231126471039117449
BaseRepresentation
bin10011001101001011010111…
…10100000110110110011000
312112112112220120020121222202
421212211223310012312120
521013431141343240344
6225454044524505332
711616215253546464
oct1146455364066630
9175475816217882
1042234222243224
11125034844599a0
1248a13376ab248
131a748931a925b
14a6020c13b4a4
154d39207bc94e
hex26696bd06d98

42234222243224 has 64 divisors (see below), whose sum is σ = 86434088256000. Its totient is φ = 19187174764800.

The previous prime is 42234222243217. The next prime is 42234222243251.

42234222243224 is nontrivially palindromic in base 10.

42234222243224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422342222432242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2420429252 + ... + 2420446700.

It is an arithmetic number, because the mean of its divisors is an integer number (1350532629000).

Almost surely, 242234222243224 is an apocalyptic number.

42234222243224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42234222243224 is an abundant number, since it is smaller than the sum of its proper divisors (44199866012776).

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

42234222243224 is a wasteful number, since it uses less digits than its factorization.

42234222243224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30504 (or 30500 counting only the distinct ones).

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

It can be divided in two parts, 4223422 and 2243224, that added together give a palindrome (6466646).

The spelling of 42234222243224 in words is "forty-two trillion, two hundred thirty-four billion, two hundred twenty-two million, two hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 2647 5294 10391 10588 17449 20782 21176 29117 34898 41564 58234 69796 83128 114301 116468 139592 191939 228602 232936 383878 457204 767756 914408 1535512 27504977 46187503 55009954 92375006 110019908 181312559 184750012 220039816 302554747 362625118 369500024 508062533 605109494 725250236 1016125066 1210218988 1450500472 1994438149 2032250132 2420437976 3988876298 4064500264 7977752596 15955505192 479934343673 959868687346 1919737374692 3839474749384 5279277780403 10558555560806 21117111121612 42234222243224