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42444110336 = 291928115527
BaseRepresentation
bin100111100001110111…
…011011101000000000
311001120000002012120112
4213201313123220000
51143411143012321
631255404330452
73031542661625
oct474167335000
9131500065515
1042444110336
1117000659341
128286543a28
1340055438b4
1420a903034c
151186372a5b
hex9e1ddba00

42444110336 has 80 divisors (see below), whose sum is σ = 89592212160. Its totient is φ = 20032266240.

The previous prime is 42444110333. The next prime is 42444110339. The reversal of 42444110336 is 63301144424.

It is an interprime number because it is at equal distance from previous prime (42444110333) and next prime (42444110339).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42444110333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2725805 + ... + 2741331.

It is an arithmetic number, because the mean of its divisors is an integer number (1119902652).

Almost surely, 242444110336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444110336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44796106080).

42444110336 is an abundant number, since it is smaller than the sum of its proper divisors (47148101824).

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

42444110336 is a wasteful number, since it uses less digits than its factorization.

42444110336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15845 (or 15829 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 42444110336 in words is "forty-two billion, four hundred forty-four million, one hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 281 304 512 562 608 1124 1216 2248 2432 4496 4864 5339 8992 9728 10678 15527 17984 21356 31054 35968 42712 62108 71936 85424 124216 143872 170848 248432 295013 341696 496864 590026 683392 993728 1180052 1366784 1987456 2360104 2733568 3974912 4363087 4720208 7949824 8726174 9440416 17452348 18880832 34904696 37761664 69809392 75523328 82898653 139618784 151046656 165797306 279237568 331594612 558475136 663189224 1116950272 1326378448 2233900544 2652756896 5305513792 10611027584 21222055168 42444110336