Search a number
-
+
4014102344 = 237229334949
BaseRepresentation
bin1110111101000010…
…0101011101001000
3101100202020112020012
43233100211131020
531210102233334
61502152051052
7201321210200
oct35720453510
911322215205
104014102344
11177a94655a
12940393a88
134bc81b5b5
142a1185400
1518760d9ce
hexef425748

4014102344 has 48 divisors (see below), whose sum is σ = 8785381500. Its totient is φ = 1714409088.

The previous prime is 4014102293. The next prime is 4014102349. The reversal of 4014102344 is 4432014104.

It is a happy number.

4014102344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4013222500 + 879844 = 63350^2 + 938^2 .

It is a super-2 number, since 2×40141023442 = 32226035256212588672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014102349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97382 + ... + 132330.

Almost surely, 24014102344 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 4014102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392690750).

4014102344 is an abundant number, since it is smaller than the sum of its proper divisors (4771279156).

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

4014102344 is a wasteful number, since it uses less digits than its factorization.

4014102344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35262 (or 35251 counting only the distinct ones).

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

The square root of 4014102344 is about 63356.9439288228. The cubic root of 4014102344 is about 1589.2643702263.

Adding to 4014102344 its reverse (4432014104), we get a palindrome (8446116448).

The spelling of 4014102344 in words is "four billion, fourteen million, one hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 293 392 586 1172 2051 2344 4102 8204 14357 16408 28714 34949 57428 69898 114856 139796 244643 279592 489286 978572 1712501 1957144 3425002 6850004 10240057 13700008 20480114 40960228 71680399 81920456 143360798 286721596 501762793 573443192 1003525586 2007051172 4014102344