Search a number
-
+
424037997124 = 227219322412
BaseRepresentation
bin1100010101110101010…
…00100101101001000100
31111112111221022010221121
412022322220211221010
523421412211401444
6522444513523324
742431025335200
oct6127250455104
91445457263847
10424037997124
11153919438425
126a221573544
1330ca977c691
141674888db00
15b06bde3084
hex62baa25a44

424037997124 has 81 divisors (see below), whose sum is σ = 871331447511. Its totient is φ = 180038799360.

The previous prime is 424037997121. The next prime is 424037997143. The reversal of 424037997124 is 421799730424.

It is a happy number.

The square root of 424037997124 is 651182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18232900 + 424019764224 = 4270^2 + 651168^2 .

It is not an unprimeable number, because it can be changed into a prime (424037997121) 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 26 ways as a sum of consecutive naturals, for example, 1759493644 + ... + 1759493884.

Almost surely, 2424037997124 is an apocalyptic number.

424037997124 is the 651182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424037997124

424037997124 is an abundant number, since it is smaller than the sum of its proper divisors (447293450387).

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

424037997124 is an equidigital number, since it uses as much as digits as its factorization.

424037997124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 424037997124 in words is "four hundred twenty-four billion, thirty-seven million, nine hundred ninety-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 193 196 241 386 482 772 964 1351 1687 2702 3374 5404 6748 9457 11809 18914 23618 37249 37828 46513 47236 58081 74498 93026 116162 148996 186052 232324 260743 325591 406567 521486 651182 813134 1042972 1302364 1626268 1825201 2279137 2845969 3650402 4558274 5691938 7300804 8977009 9116548 11209633 11383876 17954018 22419266 35908036 44838532 62839063 78467431 125678126 156934862 251356252 313869724 439873441 549272017 879746882 1098544034 1759493764 2163459169 2197088068 4326918338 8653836676 15144214183 30288428366 60576856732 106009499281 212018998562 424037997124