Search a number
-
+
51408060717141 = 345668111197181
BaseRepresentation
bin10111011000001010111110…
…01100101001100001010101
320202000120012010210220210000
423230011133030221201111
523214232202020422031
6301200312001121513
713554052445143212
oct1354053714514125
9222016163726700
1051408060717141
1115420044084487
125923287629299
13228b9b430b45b
14c9a2405a4b09
155e23957b03e6
hex2ec15f329855

51408060717141 has 20 divisors (see below), whose sum is σ = 76796119085004. Its totient is φ = 34271432769600.

The previous prime is 51408060717131. The next prime is 51408060717151. The reversal of 51408060717141 is 14171706080415.

51408060717141 is a `hidden beast` number, since 5 + 14 + 0 + 8 + 0 + 607 + 17 + 14 + 1 = 666.

51408060717141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51408060717131) and next prime (51408060717151).

It can be written as a sum of positive squares in 2 ways, for example, as 37843056092241 + 13565004624900 = 6151671^2 + 3683070^2 .

It is not a de Polignac number, because 51408060717141 - 29 = 51408060716629 is a prime.

It is a super-2 number, since 2×514080607171412 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51408060717131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1007430 + ... + 10189751.

Almost surely, 251408060717141 is an apocalyptic number.

It is an amenable number.

51408060717141 is a deficient number, since it is larger than the sum of its proper divisors (25388058367863).

51408060717141 is a wasteful number, since it uses less digits than its factorization.

51408060717141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11253874 (or 11253865 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

Adding to 51408060717141 its reverse (14171706080415), we get a palindrome (65579766797556).

The spelling of 51408060717141 in words is "fifty-one trillion, four hundred eight billion, sixty million, seven hundred seventeen thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 56681 170043 510129 1530387 4591161 11197181 33591543 100774629 302323887 906971661 634667416261 1904002248783 5712006746349 17136020239047 51408060717141