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40307730336 = 2532139957397
BaseRepresentation
bin100101100010100001…
…110010011110100000
310212001010002212011100
4211202201302132200
51130022234332321
630303410314400
72624602024536
oct454241623640
9125033085140
1040307730336
1116104732435
12798ab88a00
133a54a58b13
141d453d4156
1510ada21326
hex9628727a0

40307730336 has 36 divisors (see below), whose sum is σ = 114625108962. Its totient is φ = 13435910016.

The previous prime is 40307730277. The next prime is 40307730343. The reversal of 40307730336 is 63303770304.

40307730336 is a `hidden beast` number, since 40 + 307 + 7 + 303 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31350243600 + 8957486736 = 177060^2 + 94644^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 40307730336.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69978411 + ... + 69978986.

Almost surely, 240307730336 is an apocalyptic number.

It is an amenable number.

40307730336 is an abundant number, since it is smaller than the sum of its proper divisors (74317378626).

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

40307730336 is a wasteful number, since it uses less digits than its factorization.

40307730336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139957413 (or 139957402 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 36.

The spelling of 40307730336 in words is "forty billion, three hundred seven million, seven hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 139957397 279914794 419872191 559829588 839744382 1119659176 1259616573 1679488764 2239318352 2519233146 3358977528 4478636704 5038466292 6717955056 10076932584 13435910112 20153865168 40307730336