Search a number
-
+
3982414142893 = 29199768765461
BaseRepresentation
bin111001111100111010011…
…000010101110110101101
3112002201022021210121011011
4321330322120111312231
51010221441010033033
612245255032025221
7560501635455514
oct71747230256655
915081267717134
103982414142893
1112a5a28a6496a
1254399a532211
1322b70361bc24
14daa6d91967b
156d8d215accd
hex39f3a615dad

3982414142893 has 8 divisors (see below), whose sum is σ = 4121801792280. Its totient is φ = 3843164028480.

The previous prime is 3982414142857. The next prime is 3982414142909.

3982414142893 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 545549449 + 3981868593444 = 23357^2 + 1995462^2 .

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 3982414142893 - 29 = 3982414142381 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 (3982414140893) 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, 34324818 + ... + 34440643.

It is an arithmetic number, because the mean of its divisors is an integer number (515225224035).

Almost surely, 23982414142893 is an apocalyptic number.

It is an amenable number.

3982414142893 is a deficient number, since it is larger than the sum of its proper divisors (139387649387).

3982414142893 is a wasteful number, since it uses less digits than its factorization.

3982414142893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68767487.

The product of its digits is 11943936, while the sum is 58.

The spelling of 3982414142893 in words is "three trillion, nine hundred eighty-two billion, four hundred fourteen million, one hundred forty-two thousand, eight hundred ninety-three".

Divisors: 1 29 1997 57913 68765461 1994198369 137324625617 3982414142893