Search a number
-
+
254024142321 = 32330761919373
BaseRepresentation
bin1110110010010100000…
…1001100110111110001
3220021200101020110121110
43230211001030313301
513130220140023241
6312410322543533
724231645404055
oct3544501146761
9807611213543
10254024142321
1198805007a04
1241294207ba9
131ac539b42b1
14c41b04bc65
15691b25c816
hex3b2504cdf1

254024142321 has 32 divisors (see below), whose sum is σ = 355167267840. Its totient is φ = 161189607744.

The previous prime is 254024142313. The next prime is 254024142343. The reversal of 254024142321 is 123241420452.

It is a happy number.

254024142321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 254024142321 - 23 = 254024142313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (254024142311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13102591 + ... + 13121963.

It is an arithmetic number, because the mean of its divisors is an integer number (11098977120).

Almost surely, 2254024142321 is an apocalyptic number.

It is an amenable number.

254024142321 is a deficient number, since it is larger than the sum of its proper divisors (101143125519).

254024142321 is a wasteful number, since it uses less digits than its factorization.

254024142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20325.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 254024142321 its reverse (123241420452), we get a palindrome (377265562773).

The spelling of 254024142321 in words is "two hundred fifty-four billion, twenty-four million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 23 69 307 619 921 1857 7061 14237 19373 21183 42711 58119 190033 445579 570099 1336737 4370759 5947511 11991887 13112277 17842533 35975661 136792753 275813401 410378259 827440203 3681509309 11044527927 84674714107 254024142321