Search a number
-
+
420000244240 = 24517308823709
BaseRepresentation
bin1100001110010011111…
…01110010001000010000
31111011002112120001021111
412013021331302020100
523340130030303430
6520540114503104
742225666112663
oct6071175621020
91434075501244
10420000244240
11152137208975
1269495294a94
13307b50a01a5
141648450d6da
15add26b1c2a
hex61c9f72210

420000244240 has 40 divisors (see below), whose sum is σ = 1033941781080. Its totient is φ = 158117738496.

The previous prime is 420000244217. The next prime is 420000244259. The reversal of 420000244240 is 42442000024.

It can be written as a sum of positive squares in 4 ways, for example, as 127055176704 + 292945067536 = 356448^2 + 541244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154410495 + ... + 154413214.

It is an arithmetic number, because the mean of its divisors is an integer number (25848544527).

Almost surely, 2420000244240 is an apocalyptic number.

420000244240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420000244240 is an abundant number, since it is smaller than the sum of its proper divisors (613941536840).

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

420000244240 is a wasteful number, since it uses less digits than its factorization.

420000244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308823739 (or 308823733 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 420000244240 its reverse (42442000024), we get a palindrome (462442244264).

The spelling of 420000244240 in words is "four hundred twenty billion, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 308823709 617647418 1235294836 1544118545 2470589672 3088237090 4941179344 5250003053 6176474180 10500006106 12352948360 21000012212 24705896720 26250015265 42000024424 52500030530 84000048848 105000061060 210000122120 420000244240