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440448880040 = 23513847017077
BaseRepresentation
bin1100110100011001100…
…11001000110110101000
31120002212122021101010222
412122030303020312220
524204014403130130
6534201152025212
743551506464661
oct6321463106650
91502778241128
10440448880040
1115a87aa01684
1271441532208
13326c36b78a0
141746421a368
15b6cc9ebce5
hex668ccc8da8

440448880040 has 32 divisors (see below), whose sum is σ = 1067241518280. Its totient is φ = 162627278592.

The previous prime is 440448880009. The next prime is 440448880099. The reversal of 440448880040 is 40088844044.

It can be written as a sum of positive squares in 4 ways, for example, as 226307615524 + 214141264516 = 475718^2 + 462754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 440448879973 and 440448880000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423508019 + ... + 423509058.

Almost surely, 2440448880040 is an apocalyptic number.

440448880040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440448880040 is an abundant number, since it is smaller than the sum of its proper divisors (626792638240).

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

440448880040 is a wasteful number, since it uses less digits than its factorization.

440448880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847017101 (or 847017097 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 440448880040 in words is "four hundred forty billion, four hundred forty-eight million, eight hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 847017077 1694034154 3388068308 4235085385 6776136616 8470170770 11011222001 16940341540 22022444002 33880683080 44044888004 55056110005 88089776008 110112220010 220224440020 440448880040