Search a number
-
+
341410200010000 = 24541110148316361
BaseRepresentation
bin100110110100000101100000…
…1101100011011110100010000
31122202211111101211222120220121
41031220023001230123310100
5324222131042200310000
63210041403004520024
7131625034012044262
oct11550130154336420
91582744354876817
10341410200010000
11998692863a6310
123235b701250014
1311866ac7852604
1460444b0065b32
152970ce1e05b1a
hex13682c1b1bd10

341410200010000 has 400 divisors, whose sum is σ = 910992362328576. Its totient is φ = 122875200000000.

The previous prime is 341410200009973. The next prime is 341410200010049. The reversal of 341410200010000 is 10002014143.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 53672406820 + ... + 53672413180.

Almost surely, 2341410200010000 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 341410200010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455496181164288).

341410200010000 is an abundant number, since it is smaller than the sum of its proper divisors (569582162318576).

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

341410200010000 is a wasteful number, since it uses less digits than its factorization.

341410200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332 (or 11311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 341410200010000 its reverse (10002014143), we get a palindrome (341420202024143).

The spelling of 341410200010000 in words is "three hundred forty-one trillion, four hundred ten billion, two hundred million, ten thousand".