Search a number
-
+
42234201204 = 22313267310829
BaseRepresentation
bin100111010101010110…
…101100010001110100
311001000101002201101020
4213111112230101310
51142443423414304
631222505301140
73023413533636
oct472526542164
9131011081336
1042234201204
1116a03118518
1282281947b0
133ca0bca200
1420891cca56
151172c0c5d9
hex9d55ac474

42234201204 has 72 divisors (see below), whose sum is σ = 108303118560. Its totient is φ = 12801140352.

The previous prime is 42234201169. The next prime is 42234201211. The reversal of 42234201204 is 40210243224.

42234201204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 19539 + ... + 291290.

It is an arithmetic number, because the mean of its divisors is an integer number (1504209980).

Almost surely, 242234201204 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 42234201204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54151559280).

42234201204 is an abundant number, since it is smaller than the sum of its proper divisors (66068917356).

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

42234201204 is a wasteful number, since it uses less digits than its factorization.

42234201204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310929 (or 310914 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42234201204 its reverse (40210243224), we get a palindrome (82444444428).

The spelling of 42234201204 in words is "forty-two billion, two hundred thirty-four million, two hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 169 201 268 338 402 507 676 804 871 1014 1742 2028 2613 3484 5226 10452 11323 22646 33969 45292 67938 135876 310829 621658 932487 1243316 1864974 3729948 4040777 8081554 12122331 16163108 20825543 24244662 41651086 48489324 52530101 62476629 83302172 105060202 124953258 157590303 210120404 249906516 270732059 315180606 541464118 630361212 812196177 1082928236 1624392354 3248784708 3519516767 7039033534 10558550301 14078067068 21117100602 42234201204