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41410223134344 = 23324311334436167
BaseRepresentation
bin10010110101001100100011…
…01000111101011010001000
312102121210000122112211200200
421122212101220331122020
520411431114110244334
6224023332140132200
711502534634645131
oct1132462150753210
9172553018484620
1041410223134344
1112215a82440519
1247896b3b37060
131a14c7618604c
14a323a072cc88
154bc295613799
hex25a991a3d688

41410223134344 has 48 divisors (see below), whose sum is σ = 112412902792320. Its totient is φ = 13771381233120.

The previous prime is 41410223134229. The next prime is 41410223134349. The reversal of 41410223134344 is 44343132201414.

41410223134344 is a `hidden beast` number, since 4 + 1 + 41 + 0 + 2 + 231 + 343 + 44 = 666.

It is a super-3 number, since 3×414102231343443 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41410223134299 and 41410223134308.

It is not an unprimeable number, because it can be changed into a prime (41410223134349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667187052 + ... + 667249115.

It is an arithmetic number, because the mean of its divisors is an integer number (2341935474840).

Almost surely, 241410223134344 is an apocalyptic number.

It is an amenable number.

41410223134344 is an abundant number, since it is smaller than the sum of its proper divisors (71002679657976).

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

41410223134344 is a wasteful number, since it uses less digits than its factorization.

41410223134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334436610 (or 1334436603 counting only the distinct ones).

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

Adding to 41410223134344 its reverse (44343132201414), we get a palindrome (85753355335758).

The spelling of 41410223134344 in words is "forty-one trillion, four hundred ten billion, two hundred twenty-three million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 431 862 1293 1724 2586 3448 3879 5172 7758 10344 15516 31032 1334436167 2668872334 4003308501 5337744668 8006617002 10675489336 12009925503 16013234004 24019851006 32026468008 48039702012 96079404024 575141987977 1150283975954 1725425963931 2300567951908 3450851927862 4601135903816 5176277891793 6901703855724 10352555783586 13803407711448 20705111567172 41410223134344