Search a number
-
+
10144256170837 = 311583206717669
BaseRepresentation
bin1001001110011110010011…
…0010010001101101010101
31022220210002122200000100111
42103213210302101231111
52312200414034431322
633324112411243021
72064620060513035
oct223474462215525
938823078600314
1010144256170837
11326117816a318
12117a036a49471
135877a37322a9
14270dadb158c5
15128d1e63c177
hex939e4c91b55

10144256170837 has 8 divisors (see below), whose sum is σ = 10478105256960. Its totient is φ = 9810820523280.

The previous prime is 10144256170813. The next prime is 10144256170933. The reversal of 10144256170837 is 73807165244101.

10144256170837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10144256170837 - 219 = 10144255646549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144256170337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103309762 + ... + 103407907.

It is an arithmetic number, because the mean of its divisors is an integer number (1309763157120).

Almost surely, 210144256170837 is an apocalyptic number.

It is an amenable number.

10144256170837 is a deficient number, since it is larger than the sum of its proper divisors (333849086123).

10144256170837 is a wasteful number, since it uses less digits than its factorization.

10144256170837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206719283.

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 10144256170837 in words is "ten trillion, one hundred forty-four billion, two hundred fifty-six million, one hundred seventy thousand, eight hundred thirty-seven".

Divisors: 1 31 1583 49073 206717669 6408247739 327234070027 10144256170837