Search a number
-
+
1027014436361 = 2989397913381
BaseRepresentation
bin11101111000111101101…
…01001010011000001001
310122011220101211222111002
432330132311022120021
5113311311143430421
62103445351344345
7134125242446504
oct16743665123011
93564811758432
101027014436361
11366610969861
121470610820b5
1375b01c62324
14379ca16613b
151baad1edb0b
hexef1ed4a609

1027014436361 has 8 divisors (see below), whose sum is σ = 1074366131400. Its totient is φ = 980458568320.

The previous prime is 1027014436291. The next prime is 1027014436417. The reversal of 1027014436361 is 1636344107201.

It can be written as a sum of positive squares in 4 ways, for example, as 66504673225 + 960509763136 = 257885^2 + 980056^2 .

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 1027014436361 - 218 = 1027014174217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027014436661) 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, 198954110 + ... + 198959271.

It is an arithmetic number, because the mean of its divisors is an integer number (134295766425).

Almost surely, 21027014436361 is an apocalyptic number.

It is an amenable number.

1027014436361 is a deficient number, since it is larger than the sum of its proper divisors (47351695039).

1027014436361 is an equidigital number, since it uses as much as digits as its factorization.

1027014436361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397913499.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 1027014436361 in words is "one trillion, twenty-seven billion, fourteen million, four hundred thirty-six thousand, three hundred sixty-one".

Divisors: 1 29 89 2581 397913381 11539488049 35414290909 1027014436361