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40122303130332 = 22325131372171951
BaseRepresentation
bin10010001111101101100111…
…01000000010101011011100
312021001122200021211202200100
421013312303220002223130
520224330434100132312
6221155533120501100
711310512034355563
oct1107666350025334
9167048607752610
1040122303130332
1111869856149095
1245bbb7a17a790
131950694981a37
149c9d03666bda
15498a16eb15dc
hex247db3a02adc

40122303130332 has 36 divisors (see below), whose sum is σ = 101420510589216. Its totient is φ = 13374068822400.

The previous prime is 40122303130331. The next prime is 40122303130411. The reversal of 40122303130332 is 23303130322104.

40122303130332 is a `hidden beast` number, since 4 + 0 + 1 + 22 + 303 + 1 + 3 + 0 + 332 = 666.

40122303130332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 40122303130296 and 40122303130305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122303130331) 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 in 11 ways as a sum of consecutive naturals, for example, 17386957 + ... + 19558907.

It is an arithmetic number, because the mean of its divisors is an integer number (2817236405256).

Almost surely, 240122303130332 is an apocalyptic number.

It is an amenable number.

40122303130332 is an abundant number, since it is smaller than the sum of its proper divisors (61298207458884).

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

40122303130332 is a wasteful number, since it uses less digits than its factorization.

40122303130332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685098 (or 2685093 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 40122303130332 its reverse (23303130322104), we get a palindrome (63425433452436).

The spelling of 40122303130332 in words is "forty trillion, one hundred twenty-two billion, three hundred three million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 513137 1026274 1539411 2052548 2171951 3078822 4343902 4618233 6157644 6515853 8687804 9236466 13031706 18472932 19547559 26063412 39095118 78190236 1114508420287 2229016840574 3343525260861 4458033681148 6687050521722 10030575782583 13374101043444 20061151565166 40122303130332