Search a number
-
+
242163191540 = 225171993579119
BaseRepresentation
bin1110000110001000001…
…1010000111011110100
3212011001202202201221002
43201202003100323310
512431422234112130
6303125341342432
723332013110454
oct3414203207364
9764052681832
10242163191540
1193778899046
123ab23b67a18
1319ab35b611a
14ba13aa7d64
156474d06b45
hex38620d0ef4

242163191540 has 48 divisors (see below), whose sum is σ = 541162944000. Its totient is φ = 90709166592.

The previous prime is 242163191539. The next prime is 242163191579. The reversal of 242163191540 is 45191361242.

It is a super-2 number, since 2×2421631915402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242163191494 and 242163191503.

It is a congruent number.

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, 1721900 + ... + 1857219.

It is an arithmetic number, because the mean of its divisors is an integer number (11274228000).

Almost surely, 2242163191540 is an apocalyptic number.

242163191540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242163191540 is an abundant number, since it is smaller than the sum of its proper divisors (298999752460).

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

242163191540 is a wasteful number, since it uses less digits than its factorization.

242163191540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579344 (or 3579342 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 242163191540 in words is "two hundred forty-two billion, one hundred sixty-three million, one hundred ninety-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 340 398 796 995 1990 3383 3980 6766 13532 16915 33830 67660 3579119 7158238 14316476 17895595 35791190 60845023 71582380 121690046 243380092 304225115 608450230 712244681 1216900460 1424489362 2848978724 3561223405 7122446810 12108159577 14244893620 24216319154 48432638308 60540797885 121081595770 242163191540