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40122414404541 = 3271823334929179
BaseRepresentation
bin10010001111101101110100…
…10000100001001110111101
312021001122222001020002012100
421013312322100201032331
520224331201041421131
6221155552133455313
711310514555235310
oct1107667220411675
9167048861202170
1040122414404541
1111869902a40047
1245bbbab4a1539
1319506b1a42071
149c9d14350977
15498a21b417e6
hex247dba4213bd

40122414404541 has 24 divisors (see below), whose sum is σ = 66237461484480. Its totient is φ = 22925835838656.

The previous prime is 40122414404519. The next prime is 40122414404561. The reversal of 40122414404541 is 14540441422104.

40122414404541 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 241 + 4 + 404 + 5 + 4 + 1 = 666.

It is not a de Polignac number, because 40122414404541 - 25 = 40122414404509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40122414404496 and 40122414404505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122414404561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16315911 + ... + 18613268.

It is an arithmetic number, because the mean of its divisors is an integer number (2759894228520).

Almost surely, 240122414404541 is an apocalyptic number.

It is an amenable number.

40122414404541 is a deficient number, since it is larger than the sum of its proper divisors (26115047079939).

40122414404541 is a wasteful number, since it uses less digits than its factorization.

40122414404541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34947425 (or 34947422 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 40122414404541 its reverse (14540441422104), we get a palindrome (54662855826645).

The spelling of 40122414404541 in words is "forty trillion, one hundred twenty-two billion, four hundred fourteen million, four hundred four thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 63 18233 54699 127631 164097 382893 1148679 34929179 104787537 244504253 314362611 733512759 2200538277 636863720707 1910591162121 4458046044949 5731773486363 13374138134847 40122414404541