Search a number
-
+
140025044352 = 273647563599
BaseRepresentation
bin1000001001101000100…
…1001001110110000000
3111101102120211021010210
42002122021021312000
54243232402404402
6144154314354120
713054644144624
oct2023211116600
9441376737123
10140025044352
115442553a356
122317a12b940
1310286b2043b
146ac4aab184
15399801c06c
hex209a249d80

140025044352 has 64 divisors (see below), whose sum is σ = 372517056000. Its totient is φ = 46602791424.

The previous prime is 140025044347. The next prime is 140025044353. The reversal of 140025044352 is 253440520041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140025044353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33352 + ... + 530247.

It is an arithmetic number, because the mean of its divisors is an integer number (5820579000).

Almost surely, 2140025044352 is an apocalyptic number.

140025044352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140025044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186258528000).

140025044352 is an abundant number, since it is smaller than the sum of its proper divisors (232492011648).

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

140025044352 is an equidigital number, since it uses as much as digits as its factorization.

140025044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564263 (or 564251 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 140025044352 its reverse (253440520041), we get a palindrome (393465564393).

The spelling of 140025044352 in words is "one hundred forty billion, twenty-five million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 647 1294 1941 2588 3882 5176 7764 10352 15528 20704 31056 41408 62112 82816 124224 248448 563599 1127198 1690797 2254396 3381594 4508792 6763188 9017584 13526376 18035168 27052752 36070336 54105504 72140672 108211008 216422016 364648553 729297106 1093945659 1458594212 2187891318 2917188424 4375782636 5834376848 8751565272 11668753696 17503130544 23337507392 35006261088 46675014784 70012522176 140025044352