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424443141434124 = 2233171722431342163
BaseRepresentation
bin110000010000001110101111…
…0101011000010101100001100
32001122211100221022012121201000
41200200131132223002230030
5421113034023201342444
64102414253134020300
7155255001502010301
oct14040353653025414
92048740838177630
10424443141434124
1111327136414768a
123b72bb11347690
13152aaa7cac2357
1476b522c8770a8
153410b18030469
hex182075eac2b0c

424443141434124 has 96 divisors (see below), whose sum is σ = 1165145667920640. Its totient is φ = 133157760309504.

The previous prime is 424443141434099. The next prime is 424443141434153. The reversal of 424443141434124 is 421434141344424.

424443141434124 is a `hidden beast` number, since 4 + 2 + 4 + 443 + 1 + 4 + 143 + 41 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 424443141434124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315567067 + ... + 316909229.

It is an arithmetic number, because the mean of its divisors is an integer number (12136934040840).

Almost surely, 2424443141434124 is an apocalyptic number.

It is an amenable number.

424443141434124 is an abundant number, since it is smaller than the sum of its proper divisors (740702526486516).

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

424443141434124 is a wasteful number, since it uses less digits than its factorization.

424443141434124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514436 (or 1514428 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 45.

Adding to 424443141434124 its reverse (421434141344424), we get a palindrome (845877282778548).

The spelling of 424443141434124 in words is "four hundred twenty-four trillion, four hundred forty-three billion, one hundred forty-one million, four hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 172243 344486 516729 688972 1033458 1342163 1550187 2066916 2684326 2928131 3100374 4026489 4650561 5368652 5856262 6200748 8052978 8784393 9301122 11712524 12079467 16105956 17568786 18602244 22816771 24158934 26353179 35137572 36238401 45633542 48317868 52706358 68450313 72476802 79059537 91267084 105412716 136900626 144953604 158119074 205350939 273801252 316238148 410701878 616052817 821403756 1232105634 2464211268 231178181609 462356363218 693534544827 924712726436 1387069089654 2080603634481 2774138179308 3930029087353 4161207268962 6241810903443 7860058174706 8322414537924 11790087262059 12483621806886 15720116349412 23580174524118 24967243613772 35370261786177 47160349048236 70740523572354 106110785358531 141481047144708 212221570717062 424443141434124