Search a number
-
+
242202246440 = 23571178637093
BaseRepresentation
bin1110000110010001100…
…0001111110100101000
3212011011111020221011212
43201210120033310220
512432012233341230
6303133254412252
723332666061240
oct3414430176450
9764144227155
10242202246440
1193798943620
123ab35061088
1319abb70b72b
14ba18d52b20
15647846d895
hex386460fd28

242202246440 has 64 divisors (see below), whose sum is σ = 679424492160. Its totient is φ = 75491608320.

The previous prime is 242202246413. The next prime is 242202246497. The reversal of 242202246440 is 44642202242.

It is a junction number, because it is equal to n+sod(n) for n = 242202246397 and 242202246406.

It is an unprimeable number.

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, 39315467 + ... + 39321626.

It is an arithmetic number, because the mean of its divisors is an integer number (10616007690).

Almost surely, 2242202246440 is an apocalyptic number.

242202246440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242202246440 is an abundant number, since it is smaller than the sum of its proper divisors (437222245720).

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

242202246440 is a wasteful number, since it uses less digits than its factorization.

242202246440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78637122 (or 78637118 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 242202246440 its reverse (44642202242), we get a palindrome (286844448682).

The spelling of 242202246440 in words is "two hundred forty-two billion, two hundred two million, two hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 78637093 157274186 314548372 393185465 550459651 629096744 786370930 865008023 1100919302 1572741860 1730016046 2201838604 2752298255 3145483720 3460032092 4325040115 4403677208 5504596510 6055056161 6920064184 8650080230 11009193020 12110112322 17300160460 22018386040 24220224644 30275280805 34600320920 48440449288 60550561610 121101123220 242202246440