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40141450142217 = 324797792964569
BaseRepresentation
bin10010010000010001010001…
…11000000110001000001001
312021010111002200022202012200
421020020220320012020021
520230134142214022332
6221212421055430413
711312060361314634
oct1110105070061011
9167114080282180
1040141450142217
1111876991135556
124603822525409
131952426713278
149cabdc54cc1b
15499287dda17c
hex248228e06209

40141450142217 has 12 divisors (see below), whose sum is σ = 57983303812980. Its totient is φ = 26760408686208.

The previous prime is 40141450142203. The next prime is 40141450142257. The reversal of 40141450142217 is 71224105414104.

40141450142217 is a `hidden beast` number, since 4 + 0 + 1 + 41 + 450 + 142 + 21 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40084549287696 + 56900854521 = 6331236^2 + 238539^2 .

It is not a de Polignac number, because 40141450142217 - 24 = 40141450142201 is a prime.

It is a super-2 number, since 2×401414501422172 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40141450142257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46050492 + ... + 46914077.

It is an arithmetic number, because the mean of its divisors is an integer number (4831941984415).

Almost surely, 240141450142217 is an apocalyptic number.

It is an amenable number.

40141450142217 is a deficient number, since it is larger than the sum of its proper divisors (17841853670763).

40141450142217 is a wasteful number, since it uses less digits than its factorization.

40141450142217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93012552 (or 93012549 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 40141450142217 in words is "forty trillion, one hundred forty-one billion, four hundred fifty million, one hundred forty-two thousand, two hundred seventeen".

Divisors: 1 3 9 47977 143931 431793 92964569 278893707 836681121 4460161126913 13380483380739 40141450142217