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40142327505101 = 174157593009333
BaseRepresentation
bin10010010000010010111010…
…01010111110000011001101
312021010120100211020101211022
421020021131022332003031
520230142441320130401
6221213044120403525
711312121203632133
oct1110113512760315
9167116324211738
1040142327505101
11118772a1406248
124603a283165a5
1319525364120c3
149cac82c95753
154992d9e4471b
hex24825d2be0cd

40142327505101 has 8 divisors (see below), whose sum is σ = 43540315056504. Its totient is φ = 36859525972480.

The previous prime is 40142327505089. The next prime is 40142327505107. The reversal of 40142327505101 is 10150572324104.

It can be written as a sum of positive squares in 4 ways, for example, as 33551248900 + 40108776256201 = 183170^2 + 6333149^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40142327505101 - 210 = 40142327504077 is a prime.

It is a super-2 number, since 2×401423275051012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40142327505107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28796503970 + ... + 28796505363.

It is an arithmetic number, because the mean of its divisors is an integer number (5442539382063).

Almost surely, 240142327505101 is an apocalyptic number.

40142327505101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40142327505101 is a deficient number, since it is larger than the sum of its proper divisors (3397987551403).

40142327505101 is a wasteful number, since it uses less digits than its factorization.

40142327505101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57593009391.

The product of its (nonzero) digits is 33600, while the sum is 35.

Adding to 40142327505101 its reverse (10150572324104), we get a palindrome (50292899829205).

The spelling of 40142327505101 in words is "forty trillion, one hundred forty-two billion, three hundred twenty-seven million, five hundred five thousand, one hundred one".

Divisors: 1 17 41 697 57593009333 979081158661 2361313382653 40142327505101