Search a number
-
+
1041030144 = 21034711163
BaseRepresentation
bin111110000011001…
…101110000000000
32200112212210220000
4332003031300000
54113000431034
6251144520000
734540416210
oct7603156000
92615783800
101041030144
114946a83a0
12250780000
131378a488b
149c38c240
15615d8599
hex3e0cdc00

1041030144 has 440 divisors, whose sum is σ = 3899584128. Its totient is φ = 268738560.

The previous prime is 1041030131. The next prime is 1041030181. The reversal of 1041030144 is 4410301401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6386607 + ... + 6386769.

Almost surely, 21041030144 is an apocalyptic number.

1041030144 is a gapful number since it is divisible by the number (14) 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 1041030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949792064).

1041030144 is an abundant number, since it is smaller than the sum of its proper divisors (2858553984).

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

1041030144 is a wasteful number, since it uses less digits than its factorization.

1041030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

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

The square root of 1041030144 is about 32264.9987447699. The cubic root of 1041030144 is about 1013.4938126879.

Adding to 1041030144 its reverse (4410301401), we get a palindrome (5451331545).

The spelling of 1041030144 in words is "one billion, forty-one million, thirty thousand, one hundred forty-four".