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42444113310 = 23251034578653
BaseRepresentation
bin100111100001110111…
…011100010110011110
311001120000002100122200
4213201313130112132
51143411143111220
631255404352330
73031543003404
oct474167342636
9131500070580
1042444113310
11170006605a5
1282865456a6
134005545061
1420a9031474
151186373890
hex9e1ddc59e

42444113310 has 48 divisors (see below), whose sum is σ = 111426123744. Its totient is φ = 11208540096.

The previous prime is 42444113291. The next prime is 42444113351. The reversal of 42444113310 is 1331144424.

42444113310 is a `hidden beast` number, since 4 + 244 + 411 + 3 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×424441133102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280057 + ... + 2298596.

It is an arithmetic number, because the mean of its divisors is an integer number (2321377578).

Almost surely, 242444113310 is an apocalyptic number.

42444113310 is an abundant number, since it is smaller than the sum of its proper divisors (68982010434).

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

42444113310 is a wasteful number, since it uses less digits than its factorization.

42444113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578769 (or 4578766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42444113310 its reverse (1331144424), we get a palindrome (43775257734).

It can be divided in two parts, 4244411 and 3310, that added together give a square (4247721 = 20612).

The spelling of 42444113310 in words is "forty-two billion, four hundred forty-four million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 4578653 9157306 13735959 22893265 27471918 41207877 45786530 68679795 82415754 137359590 206039385 412078770 471601259 943202518 1414803777 2358006295 2829607554 4244411331 4716012590 7074018885 8488822662 14148037770 21222056655 42444113310