Search a number
-
+
20041440100 = 225211101180391
BaseRepresentation
bin10010101010100100…
…000001101101100100
31220201201111122101021
4102222210001231210
5312021102040400
613112405340524
71306434300343
oct225244015544
956651448337
1020041440100
118554963640
123a73a07744
131b75156ac6
14d819d1b5a
157c470471a
hex4aa901b64

20041440100 has 72 divisors (see below), whose sum is σ = 47913558336. Its totient is φ = 7215600000.

The previous prime is 20041440079. The next prime is 20041440109. The reversal of 20041440100 is 104414002.

It is not an unprimeable number, because it can be changed into a prime (20041440109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20905 + ... + 201295.

It is an arithmetic number, because the mean of its divisors is an integer number (665466088).

Almost surely, 220041440100 is an apocalyptic number.

20041440100 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 20041440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23956779168).

20041440100 is an abundant number, since it is smaller than the sum of its proper divisors (27872118236).

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

20041440100 is a wasteful number, since it uses less digits than its factorization.

20041440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180517 (or 180510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20041440100 its reverse (104414002), we get a palindrome (20145854102).

The spelling of 20041440100 in words is "twenty billion, forty-one million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 180391 360782 721564 901955 1803910 1984301 3607820 3968602 4509775 7937204 9019550 9921505 18039100 18219491 19843010 36438982 39686020 49607525 72877964 91097455 99215050 182194910 198430100 200414401 364389820 400828802 455487275 801657604 910974550 1002072005 1821949100 2004144010 4008288020 5010360025 10020720050 20041440100