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424424402120340 = 223256198033943111
BaseRepresentation
bin110000010000000110000000…
…1101110001110111010010100
32001122202120120022212211211100
41200200030001232032322110
5421112232133420322330
64102401513441310100
7155253436225324356
oct14040140156167224
92048676508784740
10424424402120340
111132644183038a6
123b728361635330
13152a90846692bb
1476b4371b9b0d6
1534103bccdb060
hex1820301b8ee94

424424402120340 has 144 divisors (see below), whose sum is σ = 1308659757664896. Its totient is φ = 111313048953600.

The previous prime is 424424402120339. The next prime is 424424402120413. The reversal of 424424402120340 is 43021204424424.

424424402120340 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 2 + 4 + 402 + 1 + 203 + 40 = 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 = 424424402120295 and 424424402120304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105665385 + ... + 109608495.

It is an arithmetic number, because the mean of its divisors is an integer number (9087914983784).

Almost surely, 2424424402120340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424424402120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654329878832448).

424424402120340 is an abundant number, since it is smaller than the sum of its proper divisors (884235355544556).

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

424424402120340 is a wasteful number, since it uses less digits than its factorization.

424424402120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952990 (or 3952985 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 424424402120340 its reverse (43021204424424), we get a palindrome (467445606544764).

The spelling of 424424402120340 in words is "four hundred twenty-four trillion, four hundred twenty-four billion, four hundred two million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 9803 10980 19606 29409 39212 49015 58818 88227 98030 117636 147045 176454 196060 294090 352908 441135 588180 597983 882270 1195966 1764540 1793949 2391932 2989915 3587898 3943111 5381847 5979830 7175796 7886222 8969745 10763694 11829333 11959660 15772444 17939490 19715555 21527388 23658666 26909235 35487999 35878980 39431110 47317332 53818470 59146665 70975998 78862220 107636940 118293330 141951996 177439995 236586660 240529771 354879990 481059542 709759980 721589313 962119084 1202648855 1443178626 2164767939 2405297710 2886357252 3607946565 4329535878 4810595420 7215893130 8659071756 10823839695 14431786260 21647679390 38654317133 43295358780 77308634266 115962951399 154617268532 193271585665 231925902798 347888854197 386543171330 463851805596 579814756995 695777708394 773086342660 1159629513990 1391555416788 1739444270985 2319259027980 2357913345113 3478888541970 4715826690226 6957777083940 7073740035339 9431653380452 11789566725565 14147480070678 21221220106017 23579133451130 28294960141356 35368700176695 42442440212034 47158266902260 70737400353390 84884880424068 106106100530085 141474800706780 212212201060170 424424402120340