Search a number
-
+
42312140244 = 223211108798297
BaseRepresentation
bin100111011010000000…
…000000010111010100
311001012210202102122100
4213122000000113110
51143123401441434
631234332002100
73025351154313
oct473200002724
9131183672570
1042312140244
1116a43111250
12824a300330
133cb40b849a
1420956ba27a
1511799a5699
hex9da0005d4

42312140244 has 72 divisors (see below), whose sum is σ = 116787460608. Its totient is φ = 12809934720.

The previous prime is 42312140237. The next prime is 42312140287. The reversal of 42312140244 is 44204121324.

42312140244 is a `hidden beast` number, since 4 + 231 + 21 + 402 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381304 + ... + 479600.

It is an arithmetic number, because the mean of its divisors is an integer number (1622048064).

Almost surely, 242312140244 is an apocalyptic number.

42312140244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42312140244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58393730304).

42312140244 is an abundant number, since it is smaller than the sum of its proper divisors (74475320364).

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

42312140244 is a wasteful number, since it uses less digits than its factorization.

42312140244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99405 (or 99400 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42312140244 its reverse (44204121324), we get a palindrome (86516261568).

The spelling of 42312140244 in words is "forty-two billion, three hundred twelve million, one hundred forty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1087 2174 3261 4348 6522 9783 11957 13044 19566 23914 35871 39132 47828 71742 98297 107613 143484 196594 215226 294891 393188 430452 589782 884673 1081267 1179564 1769346 2162534 3243801 3538692 4325068 6487602 9731403 12975204 19462806 38925612 106848839 213697678 320546517 427395356 641093034 961639551 1175337229 1282186068 1923279102 2350674458 3526011687 3846558204 4701348916 7052023374 10578035061 14104046748 21156070122 42312140244