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41442132301104 = 2432515334325041
BaseRepresentation
bin10010110110000111111111…
…00100110001010100110000
312102201211101110021110111210
421123003333210301110300
520412441441332113404
6224050130332240120
711505044446252623
oct1133037744612460
9172654343243453
1041442132301104
1112228567320817
12479391a310040
131a17c8cc41202
14a33b4a549dba
154bd011b5b689
hex25b0ff931530

41442132301104 has 40 divisors (see below), whose sum is σ = 107063101202032. Its totient is φ = 13813494497280.

The previous prime is 41442132301093. The next prime is 41442132301177. The reversal of 41442132301104 is 40110323124414.

It is a happy number.

41442132301104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15955177 + ... + 18369864.

Almost surely, 241442132301104 is an apocalyptic number.

It is an amenable number.

41442132301104 is an abundant number, since it is smaller than the sum of its proper divisors (65620968900928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41442132301104 is a wasteful number, since it uses less digits than its factorization.

41442132301104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34350205 (or 34350199 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 41442132301104 its reverse (40110323124414), we get a palindrome (81552455425518).

The spelling of 41442132301104 in words is "forty-one trillion, four hundred forty-two billion, one hundred thirty-two million, three hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 25153 50306 75459 100612 150918 201224 301836 402448 603672 1207344 34325041 68650082 102975123 137300164 205950246 274600328 411900492 549200656 823800984 1647601968 863377756273 1726755512546 2590133268819 3453511025092 5180266537638 6907022050184 10360533075276 13814044100368 20721066150552 41442132301104