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241022244031344 = 243216234310310057
BaseRepresentation
bin110110110011010101011101…
…001111010000101101110000
31011121101111112121001100220200
4312303111131033100231300
5223042402023433000334
62212340031303035200
7101524165615311606
oct6663253517205560
91147344477040820
10241022244031344
116a884a61356296
1223047885a3bb00
13a4643b93a6ba9
14437377888b876
151cce81d2a6799
hexdb355d3d0b70

241022244031344 has 60 divisors (see below), whose sum is σ = 674531750548656. Its totient is φ = 80340245335296.

The previous prime is 241022244031337. The next prime is 241022244031367. The reversal of 241022244031344 is 443130442220142.

241022244031344 is a `hidden beast` number, since 2 + 4 + 10 + 2 + 224 + 403 + 13 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241022244031299 and 241022244031308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18222364 + ... + 28532420.

Almost surely, 2241022244031344 is an apocalyptic number.

241022244031344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241022244031344 is an abundant number, since it is smaller than the sum of its proper divisors (433509506517312).

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

241022244031344 is a wasteful number, since it uses less digits than its factorization.

241022244031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10472414 (or 10472405 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 241022244031344 its reverse (443130442220142), we get a palindrome (684152686251486).

The spelling of 241022244031344 in words is "two hundred forty-one trillion, twenty-two billion, two hundred forty-four million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 162343 324686 487029 649372 974058 1298744 1461087 1948116 2597488 2922174 3896232 5844348 7792464 10310057 11688696 20620114 23377392 30930171 41240228 61860342 82480456 92790513 123720684 164960912 185581026 247441368 371162052 494882736 742324104 1484648208 1673765583551 3347531167102 5021296750653 6695062334204 10042593501306 13390124668408 15063890251959 20085187002612 26780249336816 30127780503918 40170374005224 60255561007836 80340748010448 120511122015672 241022244031344