Search a number
-
+
424240421010444 = 2233191097188463851
BaseRepresentation
bin110000001110110000010101…
…1100101111111110000001100
32001122002222200100222002111000
41200131200223211333300030
5421101223340234313234
64102141205303500300
7155234234055565023
oct14035405345776014
92048088610862430
10424240421010444
111131a339680a955
123b6b8776757690
1315294913cb852c
1476a94bb3678ba
15340a700d3e899
hex181d82b97fc0c

424240421010444 has 96 divisors (see below), whose sum is σ = 1158826533177600. Its totient is φ = 133848533980800.

The previous prime is 424240421010421. The next prime is 424240421010449. The reversal of 424240421010444 is 444010124042424.

424240421010444 is a `hidden beast` number, since 4 + 2 + 424 + 0 + 4 + 210 + 10 + 4 + 4 + 4 = 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 = 424240421010399 and 424240421010408.

It is not an unprimeable number, because it can be changed into a prime (424240421010449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91980882 + ... + 96482969.

It is an arithmetic number, because the mean of its divisors is an integer number (12071109720600).

Almost surely, 2424240421010444 is an apocalyptic number.

It is an amenable number.

424240421010444 is an abundant number, since it is smaller than the sum of its proper divisors (734586112167156).

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

424240421010444 is a wasteful number, since it uses less digits than its factorization.

424240421010444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188464980 (or 188464972 counting only the distinct ones).

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

Adding to 424240421010444 its reverse (444010124042424), we get a palindrome (868250545052868).

The spelling of 424240421010444 in words is "four hundred twenty-four trillion, two hundred forty billion, four hundred twenty-one million, ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1097 2052 2194 3291 4388 6582 9873 13164 19746 20843 29619 39492 41686 59238 62529 83372 118476 125058 187587 250116 375174 562761 750348 1125522 2251044 188463851 376927702 565391553 753855404 1130783106 1696174659 2261566212 3392349318 3580813169 5088523977 6784698636 7161626338 10177047954 10742439507 14323252676 20354095908 21484879014 32227318521 42969758028 64454637042 96681955563 128909274084 193363911126 206744844547 386727822252 413489689094 620234533641 826979378188 1240469067282 1860703600923 2480938134564 3721407201846 3928152046393 5582110802769 7442814403692 7856304092786 11164221605538 11784456139179 15712608185572 22328443211076 23568912278358 35353368417537 47137824556716 70706736835074 106060105252611 141413473670148 212120210505222 424240421010444