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41081249114451 = 32713217923019851
BaseRepresentation
bin10010101011100111110010…
…10000101010100101010011
312101110022212212220002200200
421111303321100222211103
520341033344233130301
6223212244301150243
711440010435631330
oct1125637120524523
9171408785802620
1041081249114451
11120a9507159237
1247359a325b383
1319bcc396c7890
14a204b3533987
154b393e43ec86
hex255cf942a953

41081249114451 has 48 divisors (see below), whose sum is σ = 73066851836160. Its totient is φ = 21659284785600.

The previous prime is 41081249114429. The next prime is 41081249114453. The reversal of 41081249114451 is 15441194218014.

41081249114451 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 12 + 491 + 144 + 5 + 1 = 666.

41081249114451 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 41081249114451 - 211 = 41081249112403 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41081249114397 and 41081249114406.

It is not an unprimeable number, because it can be changed into a prime (41081249114453) 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 47 ways as a sum of consecutive naturals, for example, 9725325 + ... + 13294526.

It is an arithmetic number, because the mean of its divisors is an integer number (1522226079920).

Almost surely, 241081249114451 is an apocalyptic number.

41081249114451 is a deficient number, since it is larger than the sum of its proper divisors (31985602721709).

41081249114451 is a wasteful number, since it uses less digits than its factorization.

41081249114451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23022056 (or 23022053 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 41081249114451 in words is "forty-one trillion, eighty-one billion, two hundred forty-nine million, one hundred fourteen thousand, four hundred fifty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 2179 6537 15253 19611 28327 45759 84981 137277 198289 254943 594867 1784601 23019851 69059553 161138957 207178659 299258063 483416871 897774189 1450250613 2094806441 2693322567 6284419323 18853257969 50160255329 150480765987 351121787303 451442297961 652083319277 1053365361909 1956249957831 3160096085727 4564583234939 5868749873493 13693749704817 41081249114451