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424434434424 = 2337111317667101
BaseRepresentation
bin1100010110100100100…
…00111000000101111000
31111120112120021020200120
412023102100320011320
523423220203400144
6522552114533240
742443611111110
oct6132220700570
91446476236616
10424434434424
1115400219a660
126a312297220
1331040944470
14167853a8040
15b091b00e19
hex62d2438178

424434434424 has 128 divisors (see below), whose sum is σ = 1424675105280. Its totient is φ = 101762496000.

The previous prime is 424434434401. The next prime is 424434434443.

424434434424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

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, 8809527 + ... + 8857574.

It is an arithmetic number, because the mean of its divisors is an integer number (11130274260).

Almost surely, 2424434434424 is an apocalyptic number.

424434434424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424434434424 is an abundant number, since it is smaller than the sum of its proper divisors (1000240670856).

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

424434434424 is a wasteful number, since it uses less digits than its factorization.

424434434424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17667141 (or 17667137 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 424434 and 434424, that added together give a palindrome (858858).

The spelling of 424434434424 in words is "four hundred twenty-four billion, four hundred thirty-four million, four hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 17667101 35334202 53001303 70668404 106002606 123669707 141336808 194338111 212005212 229672313 247339414 371009121 388676222 424010424 459344626 494678828 583014333 689016939 742018242 777352444 918689252 989357656 1166028666 1360366777 1378033878 1484036484 1554704888 1607706191 1837378504 2332057332 2526395443 2720733554 2756067756 2968072968 3215412382 4081100331 4664114664 4823118573 5052790886 5441467108 5512135512 6430824764 7579186329 8162200662 9646237146 10105581772 10882934216 12861649528 15158372658 16324401324 17684768101 19292474292 20211163544 30316745316 32648802648 35369536202 38584948584 53054304303 60633490632 70739072404 106108608606 141478144808 212217217212 424434434424