Search a number
-
+
41212144041201 = 3271738937619243
BaseRepresentation
bin10010101111011011100110…
…01101001011110011110001
312101220211202011210100000200
421113231303031023303301
520400204432333304301
6223352333025505413
711452323230304510
oct1127556315136361
9171824664710020
1041212144041201
1112149a76a05051
1247572337a2269
1319cc399b0a863
14a2696d7d8677
154b7050b2bc86
hex257b7334bcf1

41212144041201 has 24 divisors (see below), whose sum is σ = 68036659928640. Its totient is φ = 23548441676256.

The previous prime is 41212144041169. The next prime is 41212144041203. The reversal of 41212144041201 is 10214044121214.

41212144041201 is a `hidden beast` number, since 4 + 1 + 2 + 12 + 1 + 440 + 4 + 1 + 201 = 666.

It is not a de Polignac number, because 41212144041201 - 25 = 41212144041169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41212144041203) 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, 17714115 + ... + 19905128.

It is an arithmetic number, because the mean of its divisors is an integer number (2834860830360).

Almost surely, 241212144041201 is an apocalyptic number.

It is an amenable number.

41212144041201 is a deficient number, since it is larger than the sum of its proper divisors (26824515887439).

41212144041201 is a wasteful number, since it uses less digits than its factorization.

41212144041201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37636645 (or 37636642 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 41212144041201 its reverse (10214044121214), we get a palindrome (51426188162415).

The spelling of 41212144041201 in words is "forty-one trillion, two hundred twelve billion, one hundred forty-four million, forty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 63 17389 52167 121723 156501 365169 1095507 37619243 112857729 263334701 338573187 790004103 2370012309 654161016527 1962483049581 4579127115689 5887449148743 13737381347067 41212144041201