Search a number
-
+
2044041480 = 233451323733
BaseRepresentation
bin111100111010101…
…1001100100001000
312021110020001210000
41321311121210020
513141233311410
6534454523000
7101440031415
oct17165314410
95243201700
102044041480
11959898688
12490666460
13267627600
1415568110c
15be6b1dc0
hex79d59908

2044041480 has 240 divisors, whose sum is σ = 7441376580. Its totient is φ = 503013888.

The previous prime is 2044041479. The next prime is 2044041547. The reversal of 2044041480 is 841404402.

It is a happy number.

2044041480 is a `hidden beast` number, since 204 + 40 + 414 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 237961476 + 1806080004 = 15426^2 + 42498^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 545694 + ... + 549426.

Almost surely, 22044041480 is an apocalyptic number.

2044041480 is a gapful number since it is divisible by the number (20) 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 2044041480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720688290).

2044041480 is an abundant number, since it is smaller than the sum of its proper divisors (5397335100).

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

2044041480 is a wasteful number, since it uses less digits than its factorization.

2044041480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2044041480 is about 45211.0769612935. The cubic root of 2044041480 is about 1269.1021160888.

Adding to 2044041480 its reverse (841404402), we get a palindrome (2885445882).

The spelling of 2044041480 in words is "two billion, forty-four million, forty-one thousand, four hundred eighty".