Search a number
-
+
41081388840 = 23345191394801
BaseRepresentation
bin100110010000101001…
…000011111100101000
310221001000212210010000
4212100221003330220
51133113313420330
630512244423000
72653015020642
oct462051037450
9127030783100
1041081388840
1116471411528
127b660a7a60
133b4911800b
141dba063892
1511068e3560
hex990a43f28

41081388840 has 320 divisors, whose sum is σ = 146422584000. Its totient is φ = 10301644800.

The previous prime is 41081388827. The next prime is 41081388857. The reversal of 41081388840 is 4888318014.

41081388840 is a `hidden beast` number, since 410 + 81 + 3 + 88 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8554440 + ... + 8559240.

It is an arithmetic number, because the mean of its divisors is an integer number (457570575).

Almost surely, 241081388840 is an apocalyptic number.

41081388840 is a gapful number since it is divisible by the number (40) 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 41081388840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73211292000).

41081388840 is an abundant number, since it is smaller than the sum of its proper divisors (105341195160).

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

41081388840 is a wasteful number, since it uses less digits than its factorization.

41081388840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 41081388840 in words is "forty-one billion, eighty-one million, three hundred eighty-eight thousand, eight hundred forty".