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40141370413441 = 1121277879331537
BaseRepresentation
bin10010010000010001001000…
…00111111101000110000001
312021010110220010022002220001
421020020210013331012001
520230134011311212231
6221212405130520001
711312055402531343
oct1110104407750601
9167113803262801
1040141370413441
111187695012a100
1246037bb896001
13195241304948b
149cabd1b17293
15499280ddbb61
hex2482241fd181

40141370413441 has 24 divisors (see below), whose sum is σ = 44475530946560. Its totient is φ = 36200110826880.

The previous prime is 40141370413409. The next prime is 40141370413511. The reversal of 40141370413441 is 14431407314104.

It is not a de Polignac number, because 40141370413441 - 25 = 40141370413409 is a prime.

It is a super-2 number, since 2×401413704134412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40141370413441.

It is not an unprimeable number, because it can be changed into a prime (40141370413141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120910825 + ... + 121242361.

Almost surely, 240141370413441 is an apocalyptic number.

It is an amenable number.

40141370413441 is a deficient number, since it is larger than the sum of its proper divisors (4334160533119).

40141370413441 is a wasteful number, since it uses less digits than its factorization.

40141370413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339565 (or 339554 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

Adding to 40141370413441 its reverse (14431407314104), we get a palindrome (54572777727545).

The spelling of 40141370413441 in words is "forty trillion, one hundred forty-one billion, three hundred seventy million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 11 121 127 1397 7879 15367 86669 331537 953359 1000633 3646907 11006963 40115977 42105199 121076593 463157189 2612180023 5094729079 28733980253 316073782783 331746862921 3649215492131 40141370413441