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40214422323104 = 251256700697597
BaseRepresentation
bin10010010010011001001100…
…10110110111111110100000
312021101110110020100121202212
421021030212112313332200
520232333114103314404
6221310130042501252
711320252605523661
oct1111144626677640
9167343406317685
1040214422323104
11118a4928017067
1246159a8804828
131959285851a23
149d0561ba9368
1549b1093e706e
hex2493265b7fa0

40214422323104 has 12 divisors (see below), whose sum is σ = 79172143948674. Its totient is φ = 20107211161536.

The previous prime is 40214422323043. The next prime is 40214422323107. The reversal of 40214422323104 is 40132322441204.

It is a happy number.

40214422323104 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., 30389332073104 + 9825090250000 = 5512652^2 + 3134500^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 1256700697597 = 40214422323104 / (4 + 0 + 2 + 1 + 4 + 4 + 2 + 2 + 3 + 2 + 3 + 1 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (40214422323107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628350348767 + ... + 628350348830.

Almost surely, 240214422323104 is an apocalyptic number.

It is an amenable number.

40214422323104 is a deficient number, since it is larger than the sum of its proper divisors (38957721625570).

40214422323104 is a wasteful number, since it uses less digits than its factorization.

40214422323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256700697607 (or 1256700697599 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 40214422323104 its reverse (40132322441204), we get a palindrome (80346744764308).

The spelling of 40214422323104 in words is "forty trillion, two hundred fourteen billion, four hundred twenty-two million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 1256700697597 2513401395194 5026802790388 10053605580776 20107211161552 40214422323104