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440187781044 = 2231111932795269
BaseRepresentation
bin1100110011111010011…
…11000111111110110100
31120002012102222011122210
412121331033013332310
524203001032443134
6534115223453420
743542156255264
oct6317517077664
91502172864583
10440187781044
1115a756588090
1271389bb7270
133268158a33b
141743b6917a4
15b6b4b242e9
hex667d3c7fb4

440187781044 has 48 divisors (see below), whose sum is σ = 1121417599680. Its totient is φ = 133278378240.

The previous prime is 440187781013. The next prime is 440187781123.

440187781044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 440187780984 and 440187781002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240159 + ... + 1555110.

It is an arithmetic number, because the mean of its divisors is an integer number (23362866660).

Almost surely, 2440187781044 is an apocalyptic number.

440187781044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440187781044 is an abundant number, since it is smaller than the sum of its proper divisors (681229818636).

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

440187781044 is a wasteful number, since it uses less digits than its factorization.

440187781044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796480 (or 2796478 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 440187781044 in words is "four hundred forty billion, one hundred eighty-seven million, seven hundred eighty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1193 2386 3579 4772 7158 13123 14316 26246 39369 52492 78738 157476 2795269 5590538 8385807 11181076 16771614 30747959 33543228 61495918 92243877 122991836 184487754 368975508 3334755917 6669511834 10004267751 13339023668 20008535502 36682315087 40017071004 73364630174 110046945261 146729260348 220093890522 440187781044