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424424420244 = 2233112912319297
BaseRepresentation
bin1100010110100011010…
…10101011001110010100
31111120111212102110211000
412023101222223032110
523423210122421434
6522551120143300
742443430022206
oct6132152531624
91446455373730
10424424420244
11153aa757a880
126a30aa67b30
133103b849306
1416783d1c776
15b090cc3b99
hex62d1aab394

424424420244 has 96 divisors (see below), whose sum is σ = 1241785238400. Its totient is φ = 124178503680.

The previous prime is 424424420243. The next prime is 424424420293. The reversal of 424424420244 is 442024424424.

424424420244 is a `hidden beast` number, since 4 + 2 + 442 + 4 + 4 + 202 + 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 = 424424420199 and 424424420208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424424420243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6125197 + ... + 6194100.

It is an arithmetic number, because the mean of its divisors is an integer number (12935262900).

Almost surely, 2424424420244 is an apocalyptic number.

424424420244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424424420244 is an abundant number, since it is smaller than the sum of its proper divisors (817360818156).

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

424424420244 is a wasteful number, since it uses less digits than its factorization.

424424420244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319350 (or 12319342 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 424424420244 its reverse (442024424424), we get a palindrome (866448844668).

The spelling of 424424420244 in words is "four hundred twenty-four billion, four hundred twenty-four million, four hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 8613 11484 17226 34452 12319297 24638594 36957891 49277188 73915782 110873673 135512267 147831564 221747346 271024534 332621019 357259613 406536801 443494692 542049068 665242038 714519226 813073602 1071778839 1219610403 1330484076 1429038452 1626147204 2143557678 2439220806 3215336517 3658831209 3929855743 4287115356 4878441612 6430673034 7317662418 7859711486 9646009551 11789567229 12861346068 14635324836 15719422972 19292019102 23579134458 35368701687 38584038204 47158268916 70737403374 106106105061 141474806748 212212210122 424424420244