Search a number
-
+
4181228544 = 21034189373
BaseRepresentation
bin1111100100111000…
…0111110000000000
3101210101201102021110
43321032013300000
532030343303134
61530522123320
7205420566453
oct37116076000
911711642243
104181228544
111856215989
12988350540
1351833583c
142b944b49a
151971227e9
hexf9387c00

4181228544 has 176 divisors, whose sum is σ = 11575539360. Its totient is φ = 1340866560.

The previous prime is 4181228419. The next prime is 4181228563. The reversal of 4181228544 is 4458221814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11209542 + ... + 11209914.

It is an arithmetic number, because the mean of its divisors is an integer number (65770110).

Almost surely, 24181228544 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 4181228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787769680).

4181228544 is an abundant number, since it is smaller than the sum of its proper divisors (7394310816).

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

4181228544 is a wasteful number, since it uses less digits than its factorization.

4181228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 4181228544 is about 64662.4198742979. The cubic root of 4181228544 is about 1611.0213731805.

The spelling of 4181228544 in words is "four billion, one hundred eighty-one million, two hundred twenty-eight thousand, five hundred forty-four".