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424323420444 = 2232711971578091
BaseRepresentation
bin1100010110010111010…
…01011001000100011100
31111120020211101011010200
412023023221121010130
523423003243423234
6522533111303500
742441062364150
oct6131351310434
91446224334120
10424323420444
11153a55566170
126a2a107ab90
1331023945711
141677474b060
15b086ec2d99
hex62cba5911c

424323420444 has 144 divisors (see below), whose sum is σ = 1351048747776. Its totient is φ = 109077580800.

The previous prime is 424323420431. The next prime is 424323420491. The reversal of 424323420444 is 444024323424.

424323420444 is a `hidden beast` number, since 424 + 3 + 23 + 4 + 204 + 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 = 424323420399 and 424323420408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520162 + ... + 1057929.

Almost surely, 2424323420444 is an apocalyptic number.

424323420444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424323420444 is an abundant number, since it is smaller than the sum of its proper divisors (926725327332).

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

424323420444 is a wasteful number, since it uses less digits than its factorization.

424323420444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578216 (or 1578211 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 424323420444 its reverse (444024323424), we get a palindrome (868347743868).

The spelling of 424323420444 in words is "four hundred twenty-four billion, three hundred twenty-three million, four hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 97 99 126 132 154 194 198 231 252 291 308 388 396 462 582 679 693 873 924 1067 1164 1358 1386 1746 2037 2134 2716 2772 3201 3492 4074 4268 6111 6402 7469 8148 9603 12222 12804 14938 19206 22407 24444 29876 38412 44814 67221 89628 134442 268884 1578091 3156182 4734273 6312364 9468546 11046637 14202819 17359001 18937092 22093274 28405638 33139911 34718002 44186548 52077003 56811276 66279822 69436004 99419733 104154006 121513007 132559644 153074827 156231009 198839466 208308012 243026014 306149654 312462018 364539021 397678932 459224481 486052028 612299308 624924036 729078042 918448962 1071523789 1093617063 1377673443 1458156084 1683823097 1836897924 2143047578 2187234126 2755346886 3214571367 3367646194 4286095156 4374468252 5051469291 5510693772 6429142734 6735292388 9643714101 10102938582 11786761679 12858285468 15154407873 19287428202 20205877164 23573523358 30308815746 35360285037 38574856404 47147046716 60617631492 70720570074 106080855111 141441140148 212161710222 424323420444