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40137558900801 = 3359127729183969
BaseRepresentation
bin10010010000001010000001…
…11100001100000001000001
312021010010001111021012111020
421020011000330030001001
520230103210034311201
6221210535012540053
711311562061312525
oct1110050074140101
9167103044235436
1040137558900801
111187527468525a
124602b17321629
131951c564b0b5b
149ca94d829d85
1549910b499a36
hex248140f0c041

40137558900801 has 16 divisors (see below), whose sum is σ = 53707843670400. Its totient is φ = 26662940108288.

The previous prime is 40137558900773. The next prime is 40137558900827. The reversal of 40137558900801 is 10800985573104.

It is a cyclic number.

It is not a de Polignac number, because 40137558900801 - 26 = 40137558900737 is a prime.

It is a super-2 number, since 2×401375589008012 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40137558900001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13216656 + ... + 15967313.

It is an arithmetic number, because the mean of its divisors is an integer number (3356740229400).

Almost surely, 240137558900801 is an apocalyptic number.

It is an amenable number.

40137558900801 is a deficient number, since it is larger than the sum of its proper divisors (13570284769599).

40137558900801 is a wasteful number, since it uses less digits than its factorization.

40137558900801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29185608.

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 40137558900801 in words is "forty trillion, one hundred thirty-seven billion, five hundred fifty-eight million, nine hundred thousand, eight hundred one".

Divisors: 1 3 359 1077 1277 3831 458443 1375329 29183969 87551907 10477044871 31431134613 37267928413 111803785239 13379186300267 40137558900801