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40844408112 = 243531349971
BaseRepresentation
bin100110000010100001…
…000011010100110000
310220102111221220200000
4212002201003110300
51132122132024422
630432541230000
72644106512014
oct460241032460
9126374856600
1040844408112
111635a670392
127aba862300
133b0bcb3531
141d967b6544
1510e0bd1cac
hex982843530

40844408112 has 240 divisors, whose sum is σ = 122842137600. Its totient is φ = 13124332800.

The previous prime is 40844408093. The next prime is 40844408117. The reversal of 40844408112 is 21180444804.

It is a super-2 number, since 2×408444081122 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40844408117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42063787 + ... + 42064757.

It is an arithmetic number, because the mean of its divisors is an integer number (511842240).

Almost surely, 240844408112 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 40844408112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61421068800).

40844408112 is an abundant number, since it is smaller than the sum of its proper divisors (81997729488).

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

40844408112 is a wasteful number, since it uses less digits than its factorization.

40844408112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40844408112 in words is "forty billion, eight hundred forty-four million, four hundred eight thousand, one hundred twelve".