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424415123080 = 23513978414257
BaseRepresentation
bin1100010110100010001…
…11001101011010001000
31111120111012221010111121
412023101013031122020
523423200232414310
6522550145005024
742443255010604
oct6132107153210
91446435833447
10424415123080
11153aa22aa773
126a307923774
1331039942630
14167829bc504
15b0900890da
hex62d11cd688

424415123080 has 64 divisors (see below), whose sum is σ = 1038992577840. Its totient is φ = 155091566592.

The previous prime is 424415123071. The next prime is 424415123081. The reversal of 424415123080 is 80321514424.

It can be written as a sum of positive squares in 8 ways, for example, as 29802497956 + 394612625124 = 172634^2 + 628182^2 .

It is not an unprimeable number, because it can be changed into a prime (424415123081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4156689 + ... + 4257568.

Almost surely, 2424415123080 is an apocalyptic number.

424415123080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424415123080 is an abundant number, since it is smaller than the sum of its proper divisors (614577454760).

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

424415123080 is a wasteful number, since it uses less digits than its factorization.

424415123080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8414378 (or 8414374 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 424415123080 in words is "four hundred twenty-four billion, four hundred fifteen million, one hundred twenty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 194 260 388 485 520 776 970 1261 1940 2522 3880 5044 6305 10088 12610 25220 50440 8414257 16828514 33657028 42071285 67314056 84142570 109385341 168285140 218770682 336570280 437541364 546926705 816182929 875082728 1093853410 1632365858 2187706820 3264731716 4080914645 4375413640 6529463432 8161829290 10610378077 16323658580 21220756154 32647317160 42441512308 53051890385 84883024616 106103780770 212207561540 424415123080