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41430422032 = 2419237193861
BaseRepresentation
bin100110100101011100…
…100001001000010000
310221221100122111122021
4212211130201020100
51134322142001112
631011033421224
72664453530266
oct464534411020
9127840574567
1041430422032
111663043630a
128042b6a814
133ba352312c
14201055c436
15112738a907
hex9a5721210

41430422032 has 60 divisors (see below), whose sum is σ = 87008755116. Its totient is φ = 19094434560.

The previous prime is 41430422029. The next prime is 41430422053. The reversal of 41430422032 is 23022403414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35984572416 + 5445849616 = 189696^2 + 73796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41430421988 and 41430422006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116782 + ... + 310642.

Almost surely, 241430422032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41430422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43504377558).

41430422032 is an abundant number, since it is smaller than the sum of its proper divisors (45578333084).

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

41430422032 is a wasteful number, since it uses less digits than its factorization.

41430422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193944 (or 193919 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 41430422032 its reverse (23022403414), we get a palindrome (64452825446).

The spelling of 41430422032 in words is "forty-one billion, four hundred thirty million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 361 592 703 722 1406 1444 2812 2888 5624 5776 11248 13357 26714 53428 106856 193861 213712 387722 775444 1550888 3101776 3683359 7172857 7366718 14345714 14733436 28691428 29466872 57382856 58933744 69983821 114765712 136284283 139967642 272568566 279935284 545137132 559870568 1090274264 1119741136 2180548528 2589401377 5178802754 10357605508 20715211016 41430422032