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2313423144 = 233273835303
BaseRepresentation
bin1000100111100100…
…0000100100101000
312222020010001221200
42021321000210220
514214214020034
61021320404200
7111220525614
oct21171004450
95866101850
102313423144
11a8795a05a
12546916660
132ab394b46
1417d364344
15d8173a99
hex89e40928

2313423144 has 96 divisors (see below), whose sum is σ = 6429084480. Its totient is φ = 751272192.

The previous prime is 2313423137. The next prime is 2313423149. The reversal of 2313423144 is 4413243132.

2313423144 is a `hidden beast` number, since 2 + 3 + 1 + 342 + 314 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2313423149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433597 + ... + 438899.

It is an arithmetic number, because the mean of its divisors is an integer number (66969630).

Almost surely, 22313423144 is an apocalyptic number.

2313423144 is a gapful number since it is divisible by the number (24) 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 2313423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214542240).

2313423144 is an abundant number, since it is smaller than the sum of its proper divisors (4115661336).

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

2313423144 is a wasteful number, since it uses less digits than its factorization.

2313423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5464 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2313423144 is about 48098.0575907177. The cubic root of 2313423144 is about 1322.5690600643.

Adding to 2313423144 its reverse (4413243132), we get a palindrome (6726666276).

The spelling of 2313423144 in words is "two billion, three hundred thirteen million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 83 146 166 219 249 292 332 438 498 584 657 664 747 876 996 1314 1494 1752 1992 2628 2988 5256 5303 5976 6059 10606 12118 15909 18177 21212 24236 31818 36354 42424 47727 48472 54531 63636 72708 95454 109062 127272 145416 190908 218124 381816 387119 436248 440149 774238 880298 1161357 1320447 1548476 1760596 2322714 2640894 3096952 3484071 3521192 3961341 4645428 5281788 6968142 7922682 9290856 10563576 13936284 15845364 27872568 31690728 32130877 64261754 96392631 128523508 192785262 257047016 289177893 385570524 578355786 771141048 1156711572 2313423144