Search a number
-
+
355134787431553 = 616440579039389
BaseRepresentation
bin101000010111111100100001…
…0110110100010110010000001
31201120102112221221112221111201
41100233321002312202302001
5333022012021040302203
63255150400304341201
7134542433045223163
oct12057710266426201
91646375857487451
10355134787431553
11a317a8aa1843a8
12339b7601914801
13123210b38874bc
14639a888a1c933
152b0cd0debbe1d
hex142fe42da2c81

355134787431553 has 8 divisors (see below), whose sum is σ = 360957269566440. Its totient is φ = 349312324663680.

The previous prime is 355134787431511. The next prime is 355134787431601.

355134787431553 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4212046114929 + 350922741316624 = 2052327^2 + 18732932^2 .

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 355134787431553 - 221 = 355134785334401 is a prime.

It is a super-2 number, since 2×3551347874315532 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355134787431253) 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, 34767783 + ... + 43807171.

It is an arithmetic number, because the mean of its divisors is an integer number (45119658695805).

Almost surely, 2355134787431553 is an apocalyptic number.

It is an amenable number.

355134787431553 is a deficient number, since it is larger than the sum of its proper divisors (5822482134887).

355134787431553 is an equidigital number, since it uses as much as digits as its factorization.

355134787431553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683507.

The product of its digits is 317520000, while the sum is 64.

The spelling of 355134787431553 in words is "three hundred fifty-five trillion, one hundred thirty-four billion, seven hundred eighty-seven million, four hundred thirty-one thousand, five hundred fifty-three".

Divisors: 1 61 644057 9039389 39287477 551402729 5821881761173 355134787431553