Search a number
-
+
41245484544 = 29321119113379
BaseRepresentation
bin100110011010011011…
…000010011000000000
310221110110122201002200
4212122123002120000
51133432321001134
630540425513200
72660046556035
oct463233023000
9127413581080
1041245484544
1116546001010
127bb1042800
133b74110a74
141dd3b7b38c
151116009499
hex99a6c2600

41245484544 has 480 divisors, whose sum is σ = 138267043200. Its totient is φ = 11705057280.

The previous prime is 41245484519. The next prime is 41245484561. The reversal of 41245484544 is 44548454214.

41245484544 is a `hidden beast` number, since 4 + 1 + 24 + 5 + 4 + 84 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41245484544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108826947 + ... + 108827325.

It is an arithmetic number, because the mean of its divisors is an integer number (288056340).

Almost surely, 241245484544 is an apocalyptic number.

41245484544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41245484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69133521600).

41245484544 is an abundant number, since it is smaller than the sum of its proper divisors (97021558656).

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

41245484544 is a wasteful number, since it uses less digits than its factorization.

41245484544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 45.

The spelling of 41245484544 in words is "forty-one billion, two hundred forty-five million, four hundred eighty-four thousand, five hundred forty-four".