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1441034100 = 223252111947163
BaseRepresentation
bin101010111100100…
…0110111101110100
310201102120010011100
41111321012331310
510422401042400
6354554210100
750465405412
oct12571067564
93642503140
101441034100
1167a476280
12342723930
1319c717bcc
14d95542b2
158679d100
hex55e46f74

1441034100 has 432 divisors, whose sum is σ = 5329658880. Its totient is φ = 321926400.

The previous prime is 1441034083. The next prime is 1441034107. The reversal of 1441034100 is 14301441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441034107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8840619 + ... + 8840781.

Almost surely, 21441034100 is an apocalyptic number.

1441034100 is a gapful number since it is divisible by the number (10) 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 1441034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664829440).

1441034100 is an abundant number, since it is smaller than the sum of its proper divisors (3888624780).

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

1441034100 is a wasteful number, since it uses less digits than its factorization.

1441034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

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

The square root of 1441034100 is about 37960.9549405702. The cubic root of 1441034100 is about 1129.5134825763.

Adding to 1441034100 its reverse (14301441), we get a palindrome (1455335541).

The spelling of 1441034100 in words is "one billion, four hundred forty-one million, thirty-four thousand, one hundred".