Search a number
-
+
4015225104 = 243111743101103
BaseRepresentation
bin1110111101010011…
…0111100100010000
3101100211100120100220
43233110313210100
531210344200404
61502232113040
7201333564432
oct35724674420
911324316326
104015225104
111780543060
12940835780
134bcb22657
142a1398652
151877814d9
hexef537910

4015225104 has 320 divisors, whose sum is σ = 12501485568. Its totient is φ = 1096704000.

The previous prime is 4015225099. The next prime is 4015225169.

4015225104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40152251042 = 32244065271583621632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 38982717 + ... + 38982819.

Almost surely, 24015225104 is an apocalyptic number.

4015225104 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 4015225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250742784).

4015225104 is an abundant number, since it is smaller than the sum of its proper divisors (8486260464).

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

4015225104 is a wasteful number, since it uses less digits than its factorization.

4015225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4015225104 is about 63365.8039008423. The cubic root of 4015225104 is about 1589.4125308836.

It can be divided in two parts, 40152 and 25104, that added together give a palindrome (65256).

The spelling of 4015225104 in words is "four billion, fifteen million, two hundred twenty-five thousand, one hundred four".