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424334031444 = 2232191016142291
BaseRepresentation
bin1100010110011000100…
…01110111101001010100
31111120021120100020200200
412023030101313221110
523423014003001234
6522534130540500
742441251520051
oct6131421675124
91446246306620
10424334031444
11153a60553394
126a2a4737730
1331025bbc40b
1416775d10028
15b087dbbd99
hex62cc477a54

424334031444 has 72 divisors (see below), whose sum is σ = 1140255086880. Its totient is φ = 132673464000.

The previous prime is 424334031397. The next prime is 424334031479. The reversal of 424334031444 is 444130433424.

424334031444 is a `hidden beast` number, since 4 + 2 + 4 + 334 + 0 + 314 + 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 = 424334031399 and 424334031408.

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 23 ways as a sum of consecutive naturals, for example, 3002062 + ... + 3140229.

Almost surely, 2424334031444 is an apocalyptic number.

It is an amenable number.

424334031444 is an abundant number, since it is smaller than the sum of its proper divisors (715921055436).

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

424334031444 is a wasteful number, since it uses less digits than its factorization.

424334031444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142421 (or 6142416 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 424334031444 its reverse (444130433424), we get a palindrome (868464464868).

The spelling of 424334031444 in words is "four hundred twenty-four billion, three hundred thirty-four million, thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 404 606 684 909 1212 1818 1919 3636 3838 5757 7676 11514 17271 23028 34542 69084 6142291 12284582 18426873 24569164 36853746 55280619 73707492 110561238 116703529 221122476 233407058 350110587 466814116 620371391 700221174 1050331761 1240742782 1400442348 1861114173 2100663522 2481485564 3722228346 4201327044 5583342519 7444456692 11166685038 11787056429 22333370076 23574112858 35361169287 47148225716 70722338574 106083507861 141444677148 212167015722 424334031444