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41444331430401 = 344116376561187
BaseRepresentation
bin10010110110001100000101…
…01001110010001000000001
312102202001001201022210210000
421123012002221302020001
520413010442321233101
6224051132451230213
711505153111454404
oct1133060251621001
9172661051283700
1041444331430401
1112229495706149
1247942328a8369
131a18250729453
14a33cb863bd3b
154bd0dec55486
hex25b182a72201

41444331430401 has 40 divisors (see below), whose sum is σ = 63809769016224. Its totient is φ = 26790290205120.

The previous prime is 41444331430373. The next prime is 41444331430409. The reversal of 41444331430401 is 10403413344414.

41444331430401 is a `hidden beast` number, since 4 + 1 + 44 + 433 + 143 + 0 + 40 + 1 = 666.

It is not a de Polignac number, because 41444331430401 - 27 = 41444331430273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41444331430409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37739271 + ... + 38821916.

Almost surely, 241444331430401 is an apocalyptic number.

41444331430401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

41444331430401 is a deficient number, since it is larger than the sum of its proper divisors (22365437585823).

41444331430401 is a wasteful number, since it uses less digits than its factorization.

41444331430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76561403 (or 76561394 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41444331430401 its reverse (10403413344414), we get a palindrome (51847744774815).

The spelling of 41444331430401 in words is "forty-one trillion, four hundred forty-four billion, three hundred thirty-one million, four hundred thirty thousand, four hundred one".

Divisors: 1 3 9 27 41 81 123 163 369 489 1107 1467 3321 4401 6683 13203 20049 60147 180441 541323 76561187 229683561 689050683 2067152049 3139008667 6201456147 9417026001 12479473481 28251078003 37438420443 84753234009 112315261329 254259702027 336945783987 511658412721 1010837351961 1534975238163 4604925714489 13814777143467 41444331430401