Search a number
-
+
2441124121401 = 327173596349009
BaseRepresentation
bin100011100001011110010…
…101100000101100111001
322122100222010201001010100
4203201132111200230321
5304443410233341101
65105234213510013
7341236221445530
oct43413625405471
98570863631110
102441124121401
11861302a21279
12335133642309
13149273accc54
148621863b317
1543774e0ae86
hex2385e560b39

2441124121401 has 48 divisors (see below), whose sum is σ = 4278724819200. Its totient is φ = 1309216241664.

The previous prime is 2441124121351. The next prime is 2441124121427. The reversal of 2441124121401 is 1041214211442.

2441124121401 is a `hidden beast` number, since 2 + 4 + 4 + 11 + 241 + 2 + 1 + 401 = 666.

It is not a de Polignac number, because 2441124121401 - 227 = 2440989903673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2441124121451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2790016 + ... + 3558993.

It is an arithmetic number, because the mean of its divisors is an integer number (89140100400).

Almost surely, 22441124121401 is an apocalyptic number.

2441124121401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2441124121401 is a deficient number, since it is larger than the sum of its proper divisors (1837600697799).

2441124121401 is a wasteful number, since it uses less digits than its factorization.

2441124121401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349398 (or 6349395 counting only the distinct ones).

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

Adding to 2441124121401 its reverse (1041214211442), we get a palindrome (3482338332843).

The spelling of 2441124121401 in words is "two trillion, four hundred forty-one billion, one hundred twenty-four million, one hundred twenty-one thousand, four hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 359 1071 1077 2513 3231 6103 7539 18309 22617 42721 54927 128163 384489 6349009 19047027 44443063 57141081 107933153 133329189 323799459 399987567 755532071 971398377 2266596213 2279294231 6799788639 6837882693 15955059617 20513648079 38748001927 47865178851 116244005781 143595536553 271236013489 348732017343 813708040467 2441124121401