Search a number
-
+
40040044440000 = 2635411191596493
BaseRepresentation
bin10010001101010100011001…
…01000000010100111000000
312020202210100112121100000220
421012222030220002213000
520222004002334040000
6221054050435343040
711301540425134143
oct1106521450024700
9166683315540026
1040040044440000
1111837984276590
1245a8041a51a80
1319459b5909787
149c5d3c93405a
154968005811a0
hex246a8ca029c0

40040044440000 has 560 divisors, whose sum is σ = 152017392362880. Its totient is φ = 9195793920000.

The previous prime is 40040044439999. The next prime is 40040044440059. The reversal of 40040044440000 is 4444004004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 24281754 + ... + 25878246.

Almost surely, 240040044440000 is an apocalyptic number.

40040044440000 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 40040044440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76008696181440).

40040044440000 is an abundant number, since it is smaller than the sum of its proper divisors (111977347922880).

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

40040044440000 is a wasteful number, since it uses less digits than its factorization.

40040044440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596558 (or 1596533 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40040044440000 its reverse (4444004004), we get a palindrome (40044488444004).

The spelling of 40040044440000 in words is "forty trillion, forty billion, forty-four million, four hundred forty thousand".