Search a number
-
+
2341901113344 = 21134136311721
BaseRepresentation
bin100010000101000100001…
…011110001100000000000
322021212212010002222110000
4202011010023301200000
5301332203141111334
64551504324240000
7331124331005622
oct42050413614000
98255763088400
102341901113344
11823216141781
12319a61b40000
1313cac0278a70
14814c4876c12
1540db9001299
hex221442f1800

2341901113344 has 480 divisors, whose sum is σ = 7549488666720. Its totient is φ = 719024947200.

The previous prime is 2341901113273. The next prime is 2341901113367. The reversal of 2341901113344 is 4433111091432.

2341901113344 is a `hidden beast` number, since 23 + 4 + 190 + 111 + 334 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2341901113299 and 2341901113308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1360778404 + ... + 1360780124.

It is an arithmetic number, because the mean of its divisors is an integer number (15728101389).

Almost surely, 22341901113344 is an apocalyptic number.

2341901113344 is a gapful number since it is divisible by the number (24) 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 2341901113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774744333360).

2341901113344 is an abundant number, since it is smaller than the sum of its proper divisors (5207587553376).

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

2341901113344 is a wasteful number, since it uses less digits than its factorization.

2341901113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2341901113344 in words is "two trillion, three hundred forty-one billion, nine hundred one million, one hundred thirteen thousand, three hundred forty-four".