Search a number
-
+
100444203040 = 255806977801
BaseRepresentation
bin101110110001011110…
…0001110100000100000
3100121021010111012021011
41131202330032200200
53121202203444130
6114050551510304
710154046432046
oct1354274164040
9317233435234
10100444203040
1139664152455
1217572688394
13961985998c
144c0c050396
15292d23052a
hex1762f0e820

100444203040 has 48 divisors (see below), whose sum is σ = 237331888920. Its totient is φ = 40172185600.

The previous prime is 100444203029. The next prime is 100444203053. The reversal of 100444203040 is 40302444001.

It can be written as a sum of positive squares in 4 ways, for example, as 47696812816 + 52747390224 = 218396^2 + 229668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252140 + ... + 1329940.

Almost surely, 2100444203040 is an apocalyptic number.

100444203040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100444203040 is an abundant number, since it is smaller than the sum of its proper divisors (136887685880).

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

100444203040 is an equidigital number, since it uses as much as digits as its factorization.

100444203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85885 (or 85877 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 100444203040 its reverse (40302444001), we get a palindrome (140746647041).

The spelling of 100444203040 in words is "one hundred billion, four hundred forty-four million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8069 16138 32276 40345 64552 77801 80690 129104 155602 161380 258208 311204 322760 389005 622408 645520 778010 1244816 1291040 1556020 2489632 3112040 6224080 12448160 627776269 1255552538 2511105076 3138881345 5022210152 6277762690 10044420304 12555525380 20088840608 25111050760 50222101520 100444203040