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7144140042 = 2321323763473
BaseRepresentation
bin1101010011101001…
…01110110100001010
3200102212221220202100
412221310232310022
5104112344440132
63140523414230
7342016121424
oct65164566412
920385856670
107144140042
113036754176
121474684376
1389b132800
144bab5b814
152bc2dc37c
hex1a9d2ed0a

7144140042 has 72 divisors (see below), whose sum is σ = 17214529644. Its totient is φ = 2138752512.

The previous prime is 7144140041. The next prime is 7144140071. The reversal of 7144140042 is 2400414417.

It can be written as a sum of positive squares in 6 ways, for example, as 1535777721 + 5608362321 = 39189^2 + 74889^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7144139988 and 7144140015.

It is not an unprimeable number, because it can be changed into a prime (7144140041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80818 + ... + 144290.

Almost surely, 27144140042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7144140042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607264822).

7144140042 is an abundant number, since it is smaller than the sum of its proper divisors (10070389602).

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

7144140042 is a wasteful number, since it uses less digits than its factorization.

7144140042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63544 (or 63528 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7144140042 is about 84523.0148657749. The cubic root of 7144140042 is about 1925.9720770530.

Adding to 7144140042 its reverse (2400414417), we get a palindrome (9544554459).

The spelling of 7144140042 in words is "seven billion, one hundred forty-four million, one hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 169 222 234 333 338 481 507 666 962 1014 1443 1521 2886 3042 4329 6253 8658 12506 18759 37518 56277 63473 112554 126946 190419 380838 571257 825149 1142514 1650298 2348501 2475447 4697002 4950894 7045503 7426341 10726937 14091006 14852682 21136509 21453874 30530513 32180811 42273018 61061026 64361622 91591539 96542433 183183078 193084866 274774617 396896669 549549234 793793338 1190690007 2381380014 3572070021 7144140042