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1144334022340 = 2251713012587001
BaseRepresentation
bin10000101001101111100…
…111110111011011000100
311001101201121100110012011
4100221233213313123010
5122222044002203330
62233411053304004
7145450443461665
oct20515747673304
94041647313164
101144334022340
114013447a5183
12165943195004
1383baaa2caa2
143d5594d736c
151eb77bdc82a
hex10a6f9f76c4

1144334022340 has 48 divisors (see below), whose sum is σ = 2546417112624. Its totient is φ = 430476800000.

The previous prime is 1144334022329. The next prime is 1144334022353. The reversal of 1144334022340 is 432204334411.

It can be written as a sum of positive squares in 8 ways, for example, as 9631852164 + 1134702170176 = 98142^2 + 1065224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851161 + ... + 1735840.

It is an arithmetic number, because the mean of its divisors is an integer number (53050356513).

Almost surely, 21144334022340 is an apocalyptic number.

1144334022340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144334022340 is an abundant number, since it is smaller than the sum of its proper divisors (1402083090284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1144334022340 is a wasteful number, since it uses less digits than its factorization.

1144334022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588328 (or 2588326 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1144334022340 its reverse (432204334411), we get a palindrome (1576538356751).

The spelling of 1144334022340 in words is "one trillion, one hundred forty-four billion, three hundred thirty-four million, twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1301 2602 5204 6505 13010 22117 26020 44234 88468 110585 221170 442340 2587001 5174002 10348004 12935005 25870010 43979017 51740020 87958034 175916068 219895085 439790170 879580340 3365688301 6731376602 13462753204 16828441505 33656883010 57216701117 67313766020 114433402234 228866804468 286083505585 572167011170 1144334022340