Search a number
-
+
40323102948 = 22321497517357
BaseRepresentation
bin100101100011011100…
…011011100011100100
310212002012000212102100
4211203130123203210
51130040203243243
630305120012100
72625146501622
oct454334334344
9125065025370
1040323102948
1116112382077
127994161030
133a57cabc3b
141d47476512
1510b005b0d3
hex96371b8e4

40323102948 has 36 divisors (see below), whose sum is σ = 102611936700. Its totient is φ = 13350824256.

The previous prime is 40323102877. The next prime is 40323102949. The reversal of 40323102948 is 84920132304.

40323102948 is a `hidden beast` number, since 40 + 323 + 1 + 0 + 294 + 8 = 666.

40323102948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10363647204 + 29959455744 = 101802^2 + 173088^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40323102949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3753315 + ... + 3764042.

It is an arithmetic number, because the mean of its divisors is an integer number (2850331575).

Almost surely, 240323102948 is an apocalyptic number.

It is an amenable number.

40323102948 is an abundant number, since it is smaller than the sum of its proper divisors (62288833752).

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

40323102948 is a wasteful number, since it uses less digits than its factorization.

40323102948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7517516 (or 7517511 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40323102948 in words is "forty billion, three hundred twenty-three million, one hundred two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 7517357 15034714 22552071 30069428 45104142 67656213 90208284 135312426 270624852 1120086193 2240172386 3360258579 4480344772 6720517158 10080775737 13441034316 20161551474 40323102948