Search a number
-
+
41302414140 = 223513312337331
BaseRepresentation
bin100110011101110100…
…001101001100111100
310221121102210000211020
4212131310031030330
51134041404223030
630550222024140
72661340504401
oct463564151474
9127542700736
1041302414140
1116575155069
128008118050
133b82b54310
141ddb55a2a8
15111b002510
hex99dd0d33c

41302414140 has 192 divisors, whose sum is σ = 129129541632. Its totient is φ = 9795225600.

The previous prime is 41302414117. The next prime is 41302414169. The reversal of 41302414140 is 4141420314.

It is a self number, because there is not a number n which added to its sum of digits gives 41302414140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5630275 + ... + 5637605.

It is an arithmetic number, because the mean of its divisors is an integer number (672549696).

Almost surely, 241302414140 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 41302414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64564770816).

41302414140 is an abundant number, since it is smaller than the sum of its proper divisors (87827127492).

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

41302414140 is a wasteful number, since it uses less digits than its factorization.

41302414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41302414140 its reverse (4141420314), we get a palindrome (45443834454).

The spelling of 41302414140 in words is "forty-one billion, three hundred two million, four hundred fourteen thousand, one hundred forty".