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440444000444 = 227661112321191
BaseRepresentation
bin1100110100011001000…
…00100001100010111100
31120002212022002110121012
412122030200201202330
524204012131003234
6534200455254352
743551420142520
oct6321440414274
91502768073535
10440444000444
1115a878179558
127143b97a3b8
13326c2699856
1417463709d80
15b6cc3860ce
hex668c8218bc

440444000444 has 48 divisors (see below), whose sum is σ = 883047922176. Its totient is φ = 188299425600.

The previous prime is 440444000351. The next prime is 440444000453. The reversal of 440444000444 is 444000444044.

It is a super-2 number, since 2×4404440004442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 440444000444.

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, 20773889 + ... + 20795079.

It is an arithmetic number, because the mean of its divisors is an integer number (18396831712).

Almost surely, 2440444000444 is an apocalyptic number.

It is an amenable number.

440444000444 is an abundant number, since it is smaller than the sum of its proper divisors (442603921732).

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

440444000444 is a wasteful number, since it uses less digits than its factorization.

440444000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22986 (or 22984 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 440444000444 its reverse (444000444044), we get a palindrome (884444444488).

The spelling of 440444000444 in words is "four hundred forty billion, four hundred forty-four million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 661 1123 1322 2246 2644 4492 4627 7861 9254 15722 18508 21191 31444 42382 84764 148337 296674 593348 742303 1484606 2969212 5196121 10392242 14007251 20784484 23797493 28014502 47594986 56029004 95189972 98050757 166582451 196101514 333164902 392203028 666329804 15730142873 31460285746 62920571492 110111000111 220222000222 440444000444