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42235462444 = 2271979799611
BaseRepresentation
bin100111010101011011…
…100000001100101100
311001000110110210110211
4213111123200030230
51142444234244234
631222552312204
73023430336010
oct472533401454
9131013423424
1042235462444
1116a038aa06a
1282286a2664
133ca124c2c6
14208943a540
151172dab164
hex9d56e032c

42235462444 has 48 divisors (see below), whose sum is σ = 89029221120. Its totient is φ = 17126544960.

The previous prime is 42235462429. The next prime is 42235462481. The reversal of 42235462444 is 44426453224.

It is a junction number, because it is equal to n+sod(n) for n = 42235462397 and 42235462406.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 374199 + ... + 473809.

It is an arithmetic number, because the mean of its divisors is an integer number (1854775440).

Almost surely, 242235462444 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 42235462444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44514610560).

42235462444 is an abundant number, since it is smaller than the sum of its proper divisors (46793758676).

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

42235462444 is a wasteful number, since it uses less digits than its factorization.

42235462444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100438 (or 100436 counting only the distinct ones).

The product of its digits is 737280, while the sum is 40.

The spelling of 42235462444 in words is "forty-two billion, two hundred thirty-five million, four hundred sixty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 797 1594 3188 5579 11158 15143 22316 30286 60572 99611 106001 199222 212002 398444 424004 697277 1394554 1892609 2789108 3785218 7570436 13248263 26496526 52993052 79389967 158779934 317559868 555729769 1111459538 1508409373 2222919076 3016818746 6033637492 10558865611 21117731222 42235462444