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41890218241 = 59234692
BaseRepresentation
bin100111000000110110…
…100000000100000001
311000010101211120110111
4213000312200010001
51141242343440431
631124420431321
73012035660104
oct470066400401
9130111746414
1041890218241
1116846a32a83
128150b48541
133c4786c9b1
14205564a73b
1511529117b1
hex9c0da0101

41890218241 has 9 divisors (see below), whose sum is σ = 42624543171. Its totient is φ = 41168343624.

The previous prime is 41890218169. The next prime is 41890218247. The reversal of 41890218241 is 14281209814.

The square root of 41890218241 is 204671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1175049841 + 40715168400 = 34279^2 + 201780^2 .

It is not a de Polignac number, because 41890218241 - 219 = 41889693953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41890218194 and 41890218203.

It is not an unprimeable number, because it can be changed into a prime (41890218247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12073855 + ... + 12077323.

Almost surely, 241890218241 is an apocalyptic number.

41890218241 is the 204671-st square number.

41890218241 is the 102336-th centered octagonal number.

It is an amenable number.

41890218241 is a deficient number, since it is larger than the sum of its proper divisors (734324930).

41890218241 is an frugal number, since it uses more digits than its factorization.

41890218241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 41890218241 in words is "forty-one billion, eight hundred ninety million, two hundred eighteen thousand, two hundred forty-one".

Divisors: 1 59 3469 3481 204671 12033961 12075589 710003699 41890218241