Search a number
-
+
34423301220000 = 253547117450931
BaseRepresentation
bin1111101001110110011001…
…01001000010011010100000
311111212211120001022110011020
413310323030221002122200
514002442410103020000
6201113502443245440
710152000331403340
oct764731451023240
9144784501273136
1034423301220000
11aa71927141530
123a3b571b19880
13162914616c354
1487014d38ad20
153ea66813cba0
hex1f4ecca426a0

34423301220000 has 480 divisors, whose sum is σ = 140777551563264. Its totient is φ = 7152892800000.

The previous prime is 34423301219933. The next prime is 34423301220017. The reversal of 34423301220000 is 2210332443.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 894535 + ... + 8345465.

Almost surely, 234423301220000 is an apocalyptic number.

34423301220000 is a gapful number since it is divisible by the number (30) 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 34423301220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70388775781632).

34423301220000 is an abundant number, since it is smaller than the sum of its proper divisors (106354250343264).

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

34423301220000 is a wasteful number, since it uses less digits than its factorization.

34423301220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450982 (or 7450959 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34423301220000 its reverse (2210332443), we get a palindrome (34425511552443).

The spelling of 34423301220000 in words is "thirty-four trillion, four hundred twenty-three billion, three hundred one million, two hundred twenty thousand".