Search a number
-
+
40558378319 = 233759853947
BaseRepresentation
bin100101110001011101…
…111011110101001111
310212200120202002112222
4211301131323311033
51131030421101234
630344322445555
72634034345634
oct456135736517
9125616662488
1040558378319
1116223168a28
127a3ab038bb
133a94967434
141d6a7dc18b
1510c5a3242e
hex97177bd4f

40558378319 has 32 divisors (see below), whose sum is σ = 44300874240. Its totient is φ = 37024048512.

The previous prime is 40558378261. The next prime is 40558378339. The reversal of 40558378319 is 91387385504.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40558378319 is a prime.

It is a super-2 number, since 2×405583783192 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40558378339) 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 31 ways as a sum of consecutive naturals, for example, 42827804 + ... + 42828750.

It is an arithmetic number, because the mean of its divisors is an integer number (1384402320).

Almost surely, 240558378319 is an apocalyptic number.

40558378319 is a deficient number, since it is larger than the sum of its proper divisors (3742495921).

40558378319 is a wasteful number, since it uses less digits than its factorization.

40558378319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919.

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 40558378319 in words is "forty billion, five hundred fifty-eight million, three hundred seventy-eight thousand, three hundred nineteen".

Divisors: 1 23 37 59 851 853 947 1357 2183 19619 21781 31561 35039 50209 50327 55873 725903 805897 807791 1157521 1285079 1862099 2067301 18579193 29888267 42828277 47547923 47659669 687430141 1096172387 1763407753 40558378319