Search a number
-
+
41307906285 = 335617495923
BaseRepresentation
bin100110011110001001…
…001010000011101101
310221121211010001122000
4212132021022003231
51134044311000120
630550535442513
72661435260442
oct463611120355
9127554101560
1041307906285
1116578266428
128009b26439
133b840280c9
141ddc1899c9
15111b739990
hex99e24a0ed

41307906285 has 32 divisors (see below), whose sum is σ = 73555447680. Its totient is φ = 21995132544.

The previous prime is 41307906259. The next prime is 41307906307. The reversal of 41307906285 is 58260970314.

41307906285 is a `hidden beast` number, since 4 + 13 + 0 + 7 + 9 + 0 + 628 + 5 = 666.

It is not a de Polignac number, because 41307906285 - 212 = 41307902189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41307906285.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 164667 + ... + 331256.

It is an arithmetic number, because the mean of its divisors is an integer number (2298607740).

It is a 1-persistent number, because it is pandigital, but 2⋅41307906285 = 82615812570 is not.

Almost surely, 241307906285 is an apocalyptic number.

41307906285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41307906285 is a deficient number, since it is larger than the sum of its proper divisors (32247541395).

41307906285 is a wasteful number, since it uses less digits than its factorization.

41307906285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496554 (or 496548 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 41307906285 in words is "forty-one billion, three hundred seven million, nine hundred six thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 617 1851 3085 5553 9255 16659 27765 83295 495923 1487769 2479615 4463307 7438845 13389921 22316535 66949605 305984491 917953473 1529922455 2753860419 4589767365 8261581257 13769302095 41307906285