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40404442401 = 32231992773541
BaseRepresentation
bin100101101000010010…
…101101110100100001
310212021212002100011200
4211220102231310201
51130222014124101
630321143231413
72630155044111
oct455022556441
9125255070150
1040404442401
1116154288664
1279b7448569
133a6bababab
141d541ab041
1510b7276986
hex9684add21

40404442401 has 48 divisors (see below), whose sum is σ = 61443782400. Its totient is φ = 25535917440.

The previous prime is 40404442373. The next prime is 40404442417. The reversal of 40404442401 is 10424440404.

It is not a de Polignac number, because 40404442401 - 213 = 40404434209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40404442451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11408691 + ... + 11412231.

It is an arithmetic number, because the mean of its divisors is an integer number (1280078800).

Almost surely, 240404442401 is an apocalyptic number.

It is an amenable number.

40404442401 is a deficient number, since it is larger than the sum of its proper divisors (21039339999).

40404442401 is a wasteful number, since it uses less digits than its factorization.

40404442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 40404442401 its reverse (10424440404), we get a palindrome (50828882805).

The spelling of 40404442401 in words is "forty billion, four hundred four million, four hundred forty-two thousand, four hundred one".

Divisors: 1 3 9 23 69 199 207 277 597 831 1791 2493 3541 4577 6371 10623 13731 19113 31869 41193 55123 57339 81443 165369 244329 496107 704659 732987 980857 1267829 2113977 2942571 3803487 6341931 8827713 11410461 16207157 22559711 48621471 67679133 145864413 195190543 203037399 585571629 1756714887 4489382489 13468147467 40404442401