Search a number
-
+
61336241440 = 2551361281669
BaseRepresentation
bin111001000111111011…
…001100010100100000
312212022121221220101221
4321013323030110200
52001104034211230
644102200304424
74300653310225
oct710773142440
9185277856357
1061336241440
1124015789031
12ba79472114
135a26543cb6
142d7c12994c
1518dec0127a
hexe47ecc520

61336241440 has 48 divisors (see below), whose sum is σ = 145013856120. Its totient is φ = 24516382720.

The previous prime is 61336241377. The next prime is 61336241443. The reversal of 61336241440 is 4414263316.

It can be written as a sum of positive squares in 4 ways, for example, as 21382627984 + 39953613456 = 146228^2 + 199884^2 .

It is a super-3 number, since 3×613362414403 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61336241396 and 61336241405.

It is not an unprimeable number, because it can be changed into a prime (61336241443) 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 7 ways as a sum of consecutive naturals, for example, 76926 + ... + 358594.

Almost surely, 261336241440 is an apocalyptic number.

It is an amenable number.

61336241440 is an abundant number, since it is smaller than the sum of its proper divisors (83677614680).

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

61336241440 is a wasteful number, since it uses less digits than its factorization.

61336241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283045 (or 283037 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 61336241440 in words is "sixty-one billion, three hundred thirty-six million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1361 2722 5444 6805 10888 13610 21776 27220 43552 54440 108880 217760 281669 563338 1126676 1408345 2253352 2816690 4506704 5633380 9013408 11266760 22533520 45067040 383351509 766703018 1533406036 1916757545 3066812072 3833515090 6133624144 7667030180 12267248288 15334060360 30668120720 61336241440