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41997340081 = 509243733857
BaseRepresentation
bin100111000111001111…
…001000110110110001
311000101212101221000001
4213013033020312301
51142002304340311
631143204430001
73014506333504
oct470717106661
9130355357001
1041997340081
11168a1449224
1281809a8301
133c63b07cb8
14206597313b
15115c0214c1
hex9c73c8db1

41997340081 has 8 divisors (see below), whose sum is σ = 42098360040. Its totient is φ = 41896393728.

The previous prime is 41997340027. The next prime is 41997340087. The reversal of 41997340081 is 18004379914.

It can be written as a sum of positive squares in 4 ways, for example, as 37038927025 + 4958413056 = 192455^2 + 70416^2 .

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 41997340081 - 225 = 41963785649 is a prime.

It is a super-3 number, since 3×419973400813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41997340087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1223505 + ... + 1257361.

It is an arithmetic number, because the mean of its divisors is an integer number (5262295005).

Almost surely, 241997340081 is an apocalyptic number.

It is an amenable number.

41997340081 is a deficient number, since it is larger than the sum of its proper divisors (101019959).

41997340081 is a wasteful number, since it uses less digits than its factorization.

41997340081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36803.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 41997340081 in words is "forty-one billion, nine hundred ninety-seven million, three hundred forty thousand, eighty-one".

Divisors: 1 509 2437 33857 1240433 17233213 82509509 41997340081