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41442240462651 = 337616595454641
BaseRepresentation
bin10010110110001000001100…
…00001010111111100111011
312102201211122222210122021000
421123010012001113330323
520412442202024301101
6224050145154420043
711505050231516460
oct1133040601277473
9172654588718230
1041442240462651
1112228612387126
12479394a591623
131a17ca9481822
14a33b5aa63667
154bd01b3c4486
hex25b106057f3b

41442240462651 has 64 divisors (see below), whose sum is σ = 71425264204800. Its totient is φ = 23257712217600.

The previous prime is 41442240462629. The next prime is 41442240462659. The reversal of 41442240462651 is 15626404224414.

41442240462651 is a `hidden beast` number, since 4 + 14 + 4 + 2 + 2 + 4 + 0 + 4 + 626 + 5 + 1 = 666.

41442240462651 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41442240462651 - 218 = 41442240200507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41442240462597 and 41442240462606.

It is not an unprimeable number, because it can be changed into a prime (41442240462659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4870291 + ... + 10324931.

It is an arithmetic number, because the mean of its divisors is an integer number (1116019753200).

Almost surely, 241442240462651 is an apocalyptic number.

41442240462651 is a deficient number, since it is larger than the sum of its proper divisors (29983023742149).

41442240462651 is a wasteful number, since it uses less digits than its factorization.

41442240462651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5455377 (or 5455371 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 41442240462651 in words is "forty-one trillion, four hundred forty-two billion, two hundred forty million, four hundred sixty-two thousand, six hundred fifty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 659 1281 1647 1977 3843 4613 5931 11529 13839 17793 40199 41517 120597 124551 281393 361791 844179 1085373 2532537 5454641 7597611 16363923 38182487 49091769 114547461 147275307 332733101 343642383 998199303 1030927149 2329131707 2994597909 3594608419 6987395121 8983793727 10783825257 20962185363 25162258933 32351475771 62886556089 75486776799 97054427313 219271113559 226460330397 657813340677 679380991191 1534897794913 1973440022031 4604693384739 5920320066093 13814080154217 41442240462651