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4401431424464 = 241321208243349
BaseRepresentation
bin100000000001100100111…
…0000011010110111010000
3120120202212022201222010212
41000003021300122313100
51034103112421040324
613205553434343252
7632664400550234
oct100031160326720
916522768658125
104401431424464
111447700326398
125b103a58ab28
1325c08cb689a9
1411305d6745c4
15797583a470e
hex400c9c1add0

4401431424464 has 20 divisors (see below), whose sum is σ = 8534228969700. Its totient is φ = 2199049754880.

The previous prime is 4401431424457. The next prime is 4401431424497. The reversal of 4401431424464 is 4644241341044.

It can be written as a sum of positive squares in 2 ways, for example, as 3332085160000 + 1069346264464 = 1825400^2 + 1034092^2 .

It is a super-2 number, since 2×44014314244642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104100539 + ... + 104142810.

It is an arithmetic number, because the mean of its divisors is an integer number (426711448485).

Almost surely, 24401431424464 is an apocalyptic number.

It is an amenable number.

4401431424464 is a deficient number, since it is larger than the sum of its proper divisors (4132797545236).

4401431424464 is a wasteful number, since it uses less digits than its factorization.

4401431424464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208244678 (or 208244672 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 41.

The spelling of 4401431424464 in words is "four trillion, four hundred one billion, four hundred thirty-one million, four hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 1321 2642 5284 10568 21136 208243349 416486698 832973396 1665946792 3331893584 275089464029 550178928058 1100357856116 2200715712232 4401431424464