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5141322234 = 2349723373
BaseRepresentation
bin1001100100111001…
…00101100111111010
3111021022022020020000
410302130211213322
541012134302414
62210100213430
7241256342436
oct46234454772
914238266200
105141322234
1121a9162544
12bb599a276
1363c20ca09
1436ab6b9c6
1520156eb09
hex1327259fa

5141322234 has 60 divisors (see below), whose sum is σ = 11643812334. Its totient is φ = 1695603456.

The previous prime is 5141322229. The next prime is 5141322247. The reversal of 5141322234 is 4322231415.

It can be written as a sum of positive squares in 3 ways, for example, as 5087255625 + 54066609 = 71325^2 + 7353^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5141322198 and 5141322207.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1522572 + ... + 1525944.

Almost surely, 25141322234 is an apocalyptic number.

5141322234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141322234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821906167).

5141322234 is an abundant number, since it is smaller than the sum of its proper divisors (6502490100).

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

5141322234 is an equidigital number, since it uses as much as digits as its factorization.

5141322234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3475 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5141322234 is about 71703.0141207467. The cubic root of 5141322234 is about 1725.9370092667.

Adding to 5141322234 its reverse (4322231415), we get a palindrome (9463553649).

The spelling of 5141322234 in words is "five billion, one hundred forty-one million, three hundred twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 3373 5238 6746 7857 9409 10119 15714 18818 20238 28227 30357 56454 60714 84681 91071 169362 182142 254043 273213 327181 508086 546426 654362 762129 981543 1524258 1963086 2944629 5889258 8833887 17667774 26501661 31736557 53003322 63473114 95209671 190419342 285629013 571258026 856887039 1713774078 2570661117 5141322234