Search a number
-
+
41514774032125 = 531936389269341
BaseRepresentation
bin10010111000001111010010…
…10110111110111011111101
312102222202212222111202002001
421130013221112332323331
520420134224123012000
6224143342432502301
711513225541631162
oct1134075126767375
9172882788452061
1041514774032125
1112256353720469
1247a5a119aa991
131a21a987801c4
14a3747bd48069
154bed6414246a
hex25c1e95beefd

41514774032125 has 32 divisors (see below), whose sum is σ = 52087230580320. Its totient is φ = 33034443264000.

The previous prime is 41514774032113. The next prime is 41514774032129. The reversal of 41514774032125 is 52123047741514.

It can be written as a sum of positive squares in 16 ways, for example, as 40838784213529 + 675989818596 = 6390523^2 + 822186^2 .

It is not a de Polignac number, because 41514774032125 - 221 = 41514771934973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41514774032129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153999955 + ... + 154269295.

It is an arithmetic number, because the mean of its divisors is an integer number (1627725955635).

Almost surely, 241514774032125 is an apocalyptic number.

It is an amenable number.

41514774032125 is a deficient number, since it is larger than the sum of its proper divisors (10572456548195).

41514774032125 is a wasteful number, since it uses less digits than its factorization.

41514774032125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275938 (or 275928 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 41514774032125 in words is "forty-one trillion, five hundred fourteen billion, seven hundred seventy-four million, thirty-two thousand, one hundred twenty-five".

Divisors: 1 5 25 125 193 965 4825 6389 24125 31945 159725 269341 798625 1233077 1346705 6165385 6733525 30826925 33667625 51982813 154134625 259914065 1299570325 1720819649 6497851625 8604098245 43020491225 215102456125 332118192257 1660590961285 8302954806425 41514774032125