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2423314144 = 25315634339
BaseRepresentation
bin1001000001110000…
…1101011011100000
320020212220010001201
42100130031123200
514430332023034
61040244010544
7114023554546
oct22034153340
96225803051
102423314144
111033996869
12577690a54
132c808c6c4
1418dbabd96
15e2b2e014
hex9070d6e0

2423314144 has 48 divisors (see below), whose sum is σ = 4934684160. Its totient is φ = 1170218880.

The previous prime is 2423314133. The next prime is 2423314171. The reversal of 2423314144 is 4414133242.

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 7 ways as a sum of consecutive naturals, for example, 556327 + ... + 560665.

It is an arithmetic number, because the mean of its divisors is an integer number (102805920).

Almost surely, 22423314144 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 2423314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467342080).

2423314144 is an abundant number, since it is smaller than the sum of its proper divisors (2511370016).

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

2423314144 is a wasteful number, since it uses less digits than its factorization.

2423314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4935 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 2423314144 is about 49227.1687587251. The cubic root of 2423314144 is about 1343.1872861944.

Adding to 2423314144 its reverse (4414133242), we get a palindrome (6837447386).

The spelling of 2423314144 in words is "two billion, four hundred twenty-three million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 563 992 1126 2252 4339 4504 8678 9008 17356 17453 18016 34712 34906 69424 69812 134509 138848 139624 269018 279248 538036 558496 1076072 2152144 2442857 4304288 4885714 9771428 19542856 39085712 75728567 78171424 151457134 302914268 605828536 1211657072 2423314144