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4400440444404 = 2232126653965113
BaseRepresentation
bin100000000001000111010…
…1100001000010111110100
3120120200022021000222001200
41000002032230020113310
51034044100223210104
613205311234252500
7632631005424444
oct100021654102764
916520267028050
104400440444404
111447241a03404
125b0a02727130
1325bc62769264
14112da7bd4124
15796eb3a5b39
hex4008eb085f4

4400440444404 has 36 divisors (see below), whose sum is σ = 11123434918596. Its totient is φ = 1466800380288.

The previous prime is 4400440444327. The next prime is 4400440444447. The reversal of 4400440444404 is 4044440440044.

It can be written as a sum of positive squares in 2 ways, for example, as 450093392100 + 3950347052304 = 670890^2 + 1987548^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×44004404444042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4076952 + ... + 5042064.

Almost surely, 24400440444404 is an apocalyptic number.

It is an amenable number.

4400440444404 is an abundant number, since it is smaller than the sum of its proper divisors (6722994474192).

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

4400440444404 is a wasteful number, since it uses less digits than its factorization.

4400440444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091776 (or 1091771 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4400440444404 its reverse (4044440440044), we get a palindrome (8444880884448).

The spelling of 4400440444404 in words is "four trillion, four hundred billion, four hundred forty million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 126653 253306 379959 506612 759918 965113 1139877 1519836 1930226 2279754 2895339 3860452 4559508 5790678 8686017 11581356 17372034 34744068 122234456789 244468913578 366703370367 488937827156 733406740734 1100110111101 1466813481468 2200220222202 4400440444404