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440040404000 = 2553110010101
BaseRepresentation
bin1100110011101000111…
…00111011010000100000
31120001211011122122100202
412121310130323100200
524202200320412000
6534052441004332
743535416501511
oct6316434732040
91501734578322
10440040404000
1115a69037757a
12713487836a8
1332659b992a2
1417425c8aa08
15b6a6c11dd5
hex667473b420

440040404000 has 48 divisors (see below), whose sum is σ = 1081179282456. Its totient is φ = 176016160000.

The previous prime is 440040403973. The next prime is 440040404009. The reversal of 440040404000 is 404040044.

It can be written as a sum of positive squares in 4 ways, for example, as 23741879056 + 416298524944 = 154084^2 + 645212^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (440040404009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55001051 + ... + 55009050.

Almost surely, 2440040404000 is an apocalyptic number.

440040404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440040404000 is an abundant number, since it is smaller than the sum of its proper divisors (641138878456).

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

440040404000 is a wasteful number, since it uses less digits than its factorization.

440040404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110010126 (or 110010108 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 440040404000 its reverse (404040044), we get a palindrome (440444444044).

It can be divided in two parts, 4 and 40040404000, that added together give a palindrome (40040404004).

The spelling of 440040404000 in words is "four hundred forty billion, forty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 110010101 220020202 440040404 550050505 880080808 1100101010 1760161616 2200202020 2750252525 3520323232 4400404040 5500505050 8800808080 11001010100 13751262625 17601616160 22002020200 27502525250 44004040400 55005050500 88008080800 110010101000 220020202000 440040404000