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44340054440 = 23511101997751
BaseRepresentation
bin101001010010110111…
…111000100110101000
311020110010122010221112
4221102313320212220
51211302023220230
632211453125452
73126534146513
oct512267704650
9136403563845
1044340054440
11178938941a0
128715489888
134248287306
142208b5dd7a
151247a2dd95
hexa52df89a8

44340054440 has 64 divisors (see below), whose sum is σ = 109912360320. Its totient is φ = 15964000000.

The previous prime is 44340054433. The next prime is 44340054457. The reversal of 44340054440 is 4445004344.

It is a happy number.

44340054440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44340054397 and 44340054406.

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, 454436 + ... + 543315.

It is an arithmetic number, because the mean of its divisors is an integer number (1717380630).

Almost surely, 244340054440 is an apocalyptic number.

44340054440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44340054440 is an abundant number, since it is smaller than the sum of its proper divisors (65572305880).

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

44340054440 is a wasteful number, since it uses less digits than its factorization.

44340054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997874 (or 997870 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 44340054440 its reverse (4445004344), we get a palindrome (48785058784).

The spelling of 44340054440 in words is "forty-four billion, three hundred forty million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 997751 1995502 3991004 4988755 7982008 9977510 10975261 19955020 21950522 39910040 43901044 54876305 87802088 100772851 109752610 201545702 219505220 403091404 439010440 503864255 806182808 1007728510 1108501361 2015457020 2217002722 4030914040 4434005444 5542506805 8868010888 11085013610 22170027220 44340054440