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40106865871701 = 32197156411446257
BaseRepresentation
bin10010001111010000110110…
…11111100100101101010101
312021000011211102220202220200
421013220123133210231111
520224102330130343301
6221144501222451113
711306424345004626
oct1107503337445525
9167004742822820
1040106865871701
1111863254223202
1245b8b90293a99
13194c0a467a585
149c927b33da4d
15498411ac8c86
hex247a1b7e4b55

40106865871701 has 24 divisors (see below), whose sum is σ = 58229974295064. Its totient is φ = 26600465955840.

The previous prime is 40106865871697. The next prime is 40106865871741. The reversal of 40106865871701 is 10717856860104.

40106865871701 is a `hidden beast` number, since 40 + 1 + 0 + 6 + 8 + 6 + 587 + 17 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21706420770225 + 18400445101476 = 4659015^2 + 4289574^2 .

It is not a de Polignac number, because 40106865871701 - 22 = 40106865871697 is a prime.

It is a super-2 number, since 2×401068658717012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40106865871741) 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, 27008365 + ... + 28454621.

It is an arithmetic number, because the mean of its divisors is an integer number (2426248928961).

Almost surely, 240106865871701 is an apocalyptic number.

It is an amenable number.

40106865871701 is a deficient number, since it is larger than the sum of its proper divisors (18123108423363).

40106865871701 is a wasteful number, since it uses less digits than its factorization.

40106865871701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462101 (or 1462098 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 40106865871701 in words is "forty trillion, one hundred six billion, eight hundred sixty-five million, eight hundred seventy-one thousand, seven hundred one".

Divisors: 1 3 9 197 591 1773 15641 46923 140769 1446257 3081277 4338771 9243831 13016313 27731493 284912629 854737887 2564213661 22620905737 67862717211 203588151633 4456318430189 13368955290567 40106865871701