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440444220240 = 24351835184251
BaseRepresentation
bin1100110100011001000…
…01010111001101010000
31120002212022111122002210
412122030201113031100
524204012210021430
6534200504112120
743551422046363
oct6321441271520
91502768448083
10440444220240
1115a878309702
127143ba65640
13326c27458cb
14174637660da
15b6cc3cb2b0
hex668c857350

440444220240 has 40 divisors (see below), whose sum is σ = 1365377083488. Its totient is φ = 117451792000.

The previous prime is 440444220179. The next prime is 440444220253. The reversal of 440444220240 is 42022444044.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4404442202402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 440444220198 and 440444220207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917591886 + ... + 917592365.

Almost surely, 2440444220240 is an apocalyptic number.

440444220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440444220240 is an abundant number, since it is smaller than the sum of its proper divisors (924932863248).

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

440444220240 is a wasteful number, since it uses less digits than its factorization.

440444220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835184267 (or 1835184261 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 440444220240 its reverse (42022444044), we get a palindrome (482466664284).

The spelling of 440444220240 in words is "four hundred forty billion, four hundred forty-four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1835184251 3670368502 5505552753 7340737004 9175921255 11011105506 14681474008 18351842510 22022211012 27527763765 29362948016 36703685020 44044422024 55055527530 73407370040 88088844048 110111055060 146814740080 220222110120 440444220240