Search a number
-
+
61340410330641 = 3313347503628253
BaseRepresentation
bin11011111001001111011010…
…10111100011111000010001
322001012002022122220110112000
431330213231113203320101
531020000130021040031
6334243221231424213
715630461356650141
oct1574475527437021
9261162278813460
1061340410330641
11185aa35a543872
126a68223385069
13282c4b6a45980
141120c6ab82921
157159115143e6
hex37c9ed5e3e11

61340410330641 has 32 divisors (see below), whose sum is σ = 98147074139520. Its totient is φ = 37639161041472.

The previous prime is 61340410330631. The next prime is 61340410330651. The reversal of 61340410330641 is 14603301404316.

61340410330641 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 0 + 4 + 1 + 0 + 3 + 3 + 0 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (61340410330631) and next prime (61340410330651).

It is not a de Polignac number, because 61340410330641 - 229 = 61339873459729 is a prime.

It is a super-2 number, since 2×613404103306412 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61340410330596 and 61340410330605.

It is not an unprimeable number, because it can be changed into a prime (61340410330631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251692330 + ... + 251935923.

It is an arithmetic number, because the mean of its divisors is an integer number (3067096066860).

Almost surely, 261340410330641 is an apocalyptic number.

It is an amenable number.

61340410330641 is a deficient number, since it is larger than the sum of its proper divisors (36806663808879).

61340410330641 is a wasteful number, since it uses less digits than its factorization.

61340410330641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503628622 (or 503628616 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 61340410330641 its reverse (14603301404316), we get a palindrome (75943711734957).

The spelling of 61340410330641 in words is "sixty-one trillion, three hundred forty billion, four hundred ten million, three hundred thirty thousand, six hundred forty-one".

Divisors: 1 3 9 13 27 39 117 347 351 1041 3123 4511 9369 13533 40599 121797 503628253 1510884759 4532654277 6547167289 13597962831 19641501867 58924505601 174759003791 176773516803 524277011373 1572831034119 2271867049283 4718493102357 6815601147849 20446803443547 61340410330641