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40122333322104 = 233111085913995629
BaseRepresentation
bin10010001111101101101010…
…11011001101101101111000
312021001122202101122200000010
421013312311123031231320
520224331014312301404
6221155540115541520
711310512552113335
oct1107666533155570
9167048671580003
1040122333322104
111186987119a670
1245bbb882ba8a0
13195069acc30a7
149c9d0768598c
15498a19977189
hex247db56cdb78

40122333322104 has 64 divisors (see below), whose sum is σ = 109434630096000. Its totient is φ = 12157162305920.

The previous prime is 40122333322103. The next prime is 40122333322129.

It is a happy number.

40122333322104 is nontrivially palindromic in base 10.

40122333322104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122333322103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4131039 + ... + 9864590.

It is an arithmetic number, because the mean of its divisors is an integer number (1709916095250).

Almost surely, 240122333322104 is an apocalyptic number.

40122333322104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40122333322104 is an abundant number, since it is smaller than the sum of its proper divisors (69312296773896).

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

40122333322104 is a wasteful number, since it uses less digits than its factorization.

40122333322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14006508 (or 14006504 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4012233 and 3322104, that added together give a palindrome (7334337).

The spelling of 40122333322104 in words is "forty trillion, one hundred twenty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 10859 21718 32577 43436 65154 86872 119449 130308 238898 260616 358347 477796 716694 955592 1433388 2866776 13995629 27991258 41986887 55982516 83973774 111965032 153951919 167947548 307903838 335895096 461855757 615807676 923711514 1231615352 1847423028 3694846056 151978535311 303957070622 455935605933 607914141244 911871211866 1215828282488 1671763888421 1823742423732 3343527776842 3647484847464 5015291665263 6687055553684 10030583330526 13374111107368 20061166661052 40122333322104