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440423358736 = 2425126612
BaseRepresentation
bin1100110100010110100…
…01110010000100010000
31120002210212020202111111
412122023101302010100
524203441334434421
6534154441023104
743551046531564
oct6321321620420
91502725222444
10440423358736
1115a867560099
1271434a84a94
13326bb32031a
1417460a956a4
15b6ca659ee1
hex668b472110

440423358736 has 45 divisors (see below), whose sum is σ = 858031562469. Its totient is φ = 219002520000.

The previous prime is 440423358679. The next prime is 440423358761. The reversal of 440423358736 is 637853324044.

The square root of 440423358736 is 663644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 349701918736 + 90721440000 = 591356^2 + 301200^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 440423358736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 666298246 + ... + 666298906.

Almost surely, 2440423358736 is an apocalyptic number.

440423358736 is the 663644-th square number.

It is an amenable number.

440423358736 is a deficient number, since it is larger than the sum of its proper divisors (417608203733).

440423358736 is an frugal number, since it uses more digits than its factorization.

440423358736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 49.

Multiplying 440423358736 by its sum of digits (49), we get a square (21580744578064 = 46455082).

The spelling of 440423358736 in words is "four hundred forty billion, four hundred twenty-three million, three hundred fifty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 251 502 661 1004 1322 2008 2644 4016 5288 10576 63001 126002 165911 252004 331822 436921 504008 663644 873842 1008016 1327288 1747684 2654576 3495368 6990736 41643661 83287322 109667171 166574644 219334342 333149288 438668684 666298576 877337368 1754674736 27526459921 55052919842 110105839684 220211679368 440423358736