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42204444044 = 22723411818831
BaseRepresentation
bin100111010011100101…
…001011010110001100
311000221022002220020012
4213103211023112030
51142413314202134
631215523412352
73022602566240
oct472345132614
9130838086205
1042204444044
1116998343524
12821a2240b8
133c979ab919
142085284420
1511702d06ce
hex9d394b58c

42204444044 has 96 divisors (see below), whose sum is σ = 90735869952. Its totient is φ = 16784064000.

The previous prime is 42204443999. The next prime is 42204444077. The reversal of 42204444044 is 44044440224.

42204444044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42204444044.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4774709 + ... + 4783539.

It is an arithmetic number, because the mean of its divisors is an integer number (945165312).

Almost surely, 242204444044 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 42204444044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45367934976).

42204444044 is an abundant number, since it is smaller than the sum of its proper divisors (48531425908).

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

42204444044 is a wasteful number, since it uses less digits than its factorization.

42204444044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42204444044 its reverse (44044440224), we get a palindrome (86248884268).

The spelling of 42204444044 in words is "forty-two billion, two hundred four million, four hundred forty-four thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 181 287 322 362 574 644 724 943 1148 1267 1886 2534 3772 4163 5068 6601 7421 8326 8831 13202 14842 16652 17662 26404 29141 29684 35324 51947 58282 61817 103894 116564 123634 170683 203113 207788 247268 341366 362071 406226 682732 724142 812452 1194781 1421791 1448284 1598411 2389562 2534497 2843582 3196822 4779124 5068994 5687164 6393644 8327633 10137988 11188877 16655266 22377754 33310532 36763453 44755508 58293431 65534851 73526906 116586862 131069702 147053812 233173724 257344171 262139404 458743957 514688342 917487914 1029376684 1507301573 1834975828 3014603146 6029206292 10551111011 21102222022 42204444044