Search a number
-
+
53022144330 = 23251201490537
BaseRepresentation
bin110001011000010111…
…011011011101001010
312001212012112000021100
4301120113123131022
51332042132104310
640205200322230
73554636535111
oct613027333512
9161765460240
1053022144330
11205396888a1
12a339013376
134cccc086cc
1427cdc5cc78
1515a4d5eec0
hexc585db74a

53022144330 has 48 divisors (see below), whose sum is σ = 137972642184. Its totient is φ = 14127436800.

The previous prime is 53022144317. The next prime is 53022144337. The reversal of 53022144330 is 3344122035.

53022144330 is a `hidden beast` number, since 5 + 3 + 0 + 221 + 4 + 433 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40561557201 + 12460587129 = 201399^2 + 111627^2 .

It is a super-3 number, since 3×530221443303 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 53022144294 and 53022144303.

It is not an unprimeable number, because it can be changed into a prime (53022144337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137179 + ... + 353358.

Almost surely, 253022144330 is an apocalyptic number.

53022144330 is an abundant number, since it is smaller than the sum of its proper divisors (84950497854).

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

53022144330 is a wasteful number, since it uses less digits than its factorization.

53022144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491751 (or 491748 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 53022144330 its reverse (3344122035), we get a palindrome (56366266365).

The spelling of 53022144330 in words is "fifty-three billion, twenty-two million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1201 2402 3603 6005 7206 10809 12010 18015 21618 36030 54045 108090 490537 981074 1471611 2452685 2943222 4414833 4905370 7358055 8829666 14716110 22074165 44148330 589134937 1178269874 1767404811 2945674685 3534809622 5302214433 5891349370 8837024055 10604428866 17674048110 26511072165 53022144330