Search a number
-
+
40945649976 = 23327117385579
BaseRepresentation
bin100110001000100011…
…010000100100111000
310220200120110112101200
4212020203100210320
51132324041244401
630450555214200
72646446165550
oct461043204470
9126616415350
1040945649976
111640182a950
127b28747360
133b26c7036a
141da600c160
1510e9a2e686
hex9888d0938

40945649976 has 96 divisors (see below), whose sum is σ = 138258057600. Its totient is φ = 10635232320.

The previous prime is 40945649959. The next prime is 40945650001. The reversal of 40945649976 is 67994654904.

40945649976 is a `hidden beast` number, since 4 + 0 + 94 + 56 + 499 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3687246 + ... + 3698333.

It is an arithmetic number, because the mean of its divisors is an integer number (1440188100).

Almost surely, 240945649976 is an apocalyptic number.

It is an amenable number.

40945649976 is an abundant number, since it is smaller than the sum of its proper divisors (97312407624).

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

40945649976 is a wasteful number, since it uses less digits than its factorization.

40945649976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385609 (or 7385602 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 40945649976 in words is "forty billion, nine hundred forty-five million, six hundred forty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 7385579 14771158 22156737 29542316 44313474 51699053 59084632 66470211 81241369 88626948 103398106 132940422 155097159 162482738 177253896 206796212 243724107 265880844 310194318 324965476 413592424 465291477 487448214 531761688 568689583 620388636 649930952 731172321 930582954 974896428 1137379166 1240777272 1462344642 1706068749 1861165908 1949792856 2274758332 2924689284 3412137498 3722331816 4549516664 5118206247 5849378568 6824274996 10236412494 13648549992 20472824988 40945649976