Search a number
-
+
41140133220340 = 225711291321769697
BaseRepresentation
bin10010101101010101011110…
…00001101100111111110100
312101122221212121201121111101
421112222233001230333310
520343014443101022330
6223255303304015444
711444163565364410
oct1126525701547764
9171587777647441
1041140133220340
1112121483755560
124745297461584
1319c5661bca79b
14a2329bb0bd40
154b5238c1c4ca
hex256aaf06cff4

41140133220340 has 192 divisors, whose sum is σ = 111436597117440. Its totient is φ = 12379615395840.

The previous prime is 41140133220293. The next prime is 41140133220353. The reversal of 41140133220340 is 4302233104114.

It is a happy number.

It is a super-2 number, since 2×411401332203402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 41140133220299 and 41140133220308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590236372 + ... + 590306068.

It is an arithmetic number, because the mean of its divisors is an integer number (580398943320).

Almost surely, 241140133220340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41140133220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55718298558720).

41140133220340 is an abundant number, since it is smaller than the sum of its proper divisors (70296463897100).

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

41140133220340 is a wasteful number, since it uses less digits than its factorization.

41140133220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82970 (or 82968 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 41140133220340 its reverse (4302233104114), we get a palindrome (45442366324454).

The spelling of 41140133220340 in words is "forty-one trillion, one hundred forty billion, one hundred thirty-three million, two hundred twenty thousand, three hundred forty".