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41202432144 = 2432286128001
BaseRepresentation
bin100110010111110110…
…110011100010010000
310221100110122102022100
4212113312303202100
51133340310312034
630532251040400
72656014615606
oct462766634220
9127313572270
1041202432144
1116523776115
127b9a740100
133b68218a83
141dcc171876
151112353099
hex997db3890

41202432144 has 30 divisors (see below), whose sum is σ = 115309584806. Its totient is φ = 13734144000.

The previous prime is 41202432133. The next prime is 41202432151. The reversal of 41202432144 is 44123420214.

41202432144 is a `hidden beast` number, since 412 + 0 + 243 + 2 + 1 + 4 + 4 = 666.

41202432144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39561210000 + 1641222144 = 198900^2 + 40512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143063857 + ... + 143064144.

Almost surely, 241202432144 is an apocalyptic number.

It is an amenable number.

41202432144 is an abundant number, since it is smaller than the sum of its proper divisors (74107152662).

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

41202432144 is a wasteful number, since it uses less digits than its factorization.

41202432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286128015 (or 286128006 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41202432144 its reverse (44123420214), we get a palindrome (85325852358).

The spelling of 41202432144 in words is "forty-one billion, two hundred two million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 286128001 572256002 858384003 1144512004 1716768006 2289024008 2575152009 3433536012 4578048016 5150304018 6867072024 10300608036 13734144048 20601216072 41202432144