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424401104440044 = 223233919311373379
BaseRepresentation
bin110000001111111011001010…
…1000100101000101011101100
32001122200100102200012001122100
41200133312111010220223230
5421111341430214040134
64102343101551215100
7155251653001316244
oct14037662504505354
92048610380161570
10424401104440044
11113255552384866
123b72393b217490
13152a6b10a12164
1476b31a1940b24
15340e9a77c9999
hex181fd95128aec

424401104440044 has 72 divisors (see below), whose sum is σ = 1073226171064320. Its totient is φ = 141409748642400.

The previous prime is 424401104440007. The next prime is 424401104440073. The reversal of 424401104440044 is 440044401104424.

424401104440044 is a `hidden beast` number, since 4 + 24 + 40 + 110 + 4 + 440 + 0 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 424401104439990 and 424401104440008.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136462947 + ... + 1136836325.

It is an arithmetic number, because the mean of its divisors is an integer number (14905919042560).

Almost surely, 2424401104440044 is an apocalyptic number.

It is an amenable number.

424401104440044 is an abundant number, since it is smaller than the sum of its proper divisors (648825066624276).

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

424401104440044 is a wasteful number, since it uses less digits than its factorization.

424401104440044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386091 (or 386086 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 424401104440044 its reverse (440044401104424), we get a palindrome (864445505544468).

The spelling of 424401104440044 in words is "four hundred twenty-four trillion, four hundred one billion, one hundred four million, four hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3391 6782 9311 10173 13564 18622 20346 27933 30519 37244 40692 55866 61038 83799 111732 122076 167598 335196 373379 746758 1120137 1493516 2240274 3360411 4480548 6720822 13441644 31573601 63147202 94720803 126294404 189441606 284162409 378883212 568324818 1136649636 1266128189 2532256378 3476531869 3798384567 5064512756 6953063738 7596769134 10429595607 11395153701 13906127476 15193538268 20859191214 22790307402 31288786821 41718382428 45580614804 62577573642 125155147284 11788919567779 23577839135558 35366758703337 47155678271116 70733517406674 106100276110011 141467034813348 212200552220022 424401104440044