Search a number
-
+
3044141100 = 2232527111331109
BaseRepresentation
bin1011010101110001…
…1110100000101100
321212011002101112200
42311130132200230
522213300003400
61222022301500
7135302525640
oct26534364054
97764071480
103044141100
11132237a2a0
1270b587890
1339689ac30
1420c416c20
1512c3b2b00
hexb571e82c

3044141100 has 864 divisors, whose sum is σ = 13345812480. Its totient is φ = 559872000.

The previous prime is 3044141077. The next prime is 3044141101. The reversal of 3044141100 is 11414403.

3044141100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3044141101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27927846 + ... + 27927954.

Almost surely, 23044141100 is an apocalyptic number.

3044141100 is a gapful number since it is divisible by the number (30) 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 3044141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672906240).

3044141100 is an abundant number, since it is smaller than the sum of its proper divisors (10301671380).

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

3044141100 is a wasteful number, since it uses less digits than its factorization.

3044141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3044141100 is about 55173.7355994680. The cubic root of 3044141100 is about 1449.2887673252.

Adding to 3044141100 its reverse (11414403), we get a palindrome (3055555503).

The spelling of 3044141100 in words is "three billion, forty-four million, one hundred forty-one thousand, one hundred".