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440444040400 = 245271312100111
BaseRepresentation
bin1100110100011001000…
…00101011010011010000
31120002212022011111102001
412122030200223103100
524204012133243100
6534200500203344
743551420400150
oct6321440532320
91502768144361
10440444040400
1115a8781a6581
127143b999554
13326c26b1ab0
141746371a760
15b6cc392d6a
hex668c82b4d0

440444040400 has 120 divisors (see below), whose sum is σ = 1302359254784. Its totient is φ = 139393267200.

The previous prime is 440444040397. The next prime is 440444040451. The reversal of 440444040400 is 4040444044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6013656 + ... + 6086455.

Almost surely, 2440444040400 is an apocalyptic number.

440444040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440444040400 is an abundant number, since it is smaller than the sum of its proper divisors (861915214384).

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

440444040400 is a wasteful number, since it uses less digits than its factorization.

440444040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12100149 (or 12100138 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 440444040400 its reverse (4040444044), we get a palindrome (444484484444).

The spelling of 440444040400 in words is "four hundred forty billion, four hundred forty-four million, forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 12100111 24200222 48400444 60500555 84700777 96800888 121001110 157301443 169401554 193601776 242002220 302502775 314602886 338803108 423503885 484004440 605005550 629205772 677606216 786507215 847007770 968008880 1101110101 1210011100 1258411544 1355212432 1573014430 1694015540 2117519425 2202220202 2420022200 2516823088 3146028860 3388031080 3932536075 4235038850 4404440404 4840044400 5505550505 6292057720 6776062160 7865072150 8470077700 8808880808 11011101010 12584115440 15730144300 16940155400 17617761616 22022202020 27527752525 31460288600 33880310800 44044404040 55055505050 62920577200 88088808080 110111010100 220222020200 440444040400