Search a number
-
+
4012322144 = 252915727539
BaseRepresentation
bin1110111100100111…
…0010110101100000
3101100121220002020212
43233021302311200
531204123302034
61502045553252
7201300114125
oct35711626540
911317802225
104012322144
111779940016
1293b875828
134bc34721c
142a0c4074c
151873ab2ce
hexef272d60

4012322144 has 48 divisors (see below), whose sum is σ = 8223994800. Its totient is φ = 1924575744.

The previous prime is 4012322113. The next prime is 4012322161. The reversal of 4012322144 is 4412232104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131927 + ... + 159465.

It is an arithmetic number, because the mean of its divisors is an integer number (171333225).

Almost surely, 24012322144 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 4012322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111997400).

4012322144 is an abundant number, since it is smaller than the sum of its proper divisors (4211672656).

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

4012322144 is a wasteful number, since it uses less digits than its factorization.

4012322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27735 (or 27727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4012322144 is about 63342.8933977601. The cubic root of 4012322144 is about 1589.0293964155.

Adding to 4012322144 its reverse (4412232104), we get a palindrome (8424554248).

The spelling of 4012322144 in words is "four billion, twelve million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 157 232 314 464 628 928 1256 2512 4553 5024 9106 18212 27539 36424 55078 72848 110156 145696 220312 440624 798631 881248 1597262 3194524 4323623 6389048 8647246 12778096 17294492 25556192 34588984 69177968 125385067 138355936 250770134 501540268 1003080536 2006161072 4012322144