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140410224144 = 2433734452379
BaseRepresentation
bin1000001011000100011…
…0011111111000010000
3111102102102121102111000
42002301012133320100
54300030004133034
6144300434222000
713100332133031
oct2026106377020
9442372542430
10140410224144
1154602a02663
1223267124900
1310318873188
146b1dcd4a88
1539bbc54599
hex20b119fe10

140410224144 has 80 divisors (see below), whose sum is σ = 408550388800. Its totient is φ = 46162255104.

The previous prime is 140410224131. The next prime is 140410224173. The reversal of 140410224144 is 441422014041.

It is a happy number.

140410224144 is a `hidden beast` number, since 1 + 4 + 0 + 410 + 2 + 241 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2194654 + ... + 2257725.

It is an arithmetic number, because the mean of its divisors is an integer number (5106879860).

Almost surely, 2140410224144 is an apocalyptic number.

It is an amenable number.

140410224144 is an abundant number, since it is smaller than the sum of its proper divisors (268140164656).

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

140410224144 is a wasteful number, since it uses less digits than its factorization.

140410224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452469 (or 4452457 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 140410224144 its reverse (441422014041), we get a palindrome (581832238185).

The spelling of 140410224144 in words is "one hundred forty billion, four hundred ten million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 4452379 8904758 13357137 17809516 26714274 35619032 40071411 53428548 71238064 80142822 106857096 120214233 160285644 213714192 240428466 320571288 325023667 480856932 641142576 650047334 961713864 975071001 1300094668 1923427728 1950142002 2600189336 2925213003 3900284004 5200378672 5850426006 7800568008 8775639009 11700852012 15601136016 17551278018 23401704024 35102556036 46803408048 70205112072 140410224144