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40447742976 = 210324388861
BaseRepresentation
bin100101101010110111…
…111001010000000000
310212101212120020101200
4211222313321100000
51130314110233401
630325331301200
72631222066624
oct455267712000
9125355506350
1040447742976
1116176772a63
127a09a4a800
133a77a6bb34
141d59c3d184
1510bae7b686
hex96adf9400

40447742976 has 66 divisors (see below), whose sum is σ = 116792006682. Its totient is φ = 13482577920.

The previous prime is 40447742971. The next prime is 40447743043. The reversal of 40447742976 is 67924774404.

40447742976 is a `hidden beast` number, since 40 + 4 + 477 + 42 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21601944576 + 18845798400 = 146976^2 + 137280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40447742971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2185215 + ... + 2203646.

Almost surely, 240447742976 is an apocalyptic number.

It is an amenable number.

40447742976 is an abundant number, since it is smaller than the sum of its proper divisors (76344263706).

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

40447742976 is a wasteful number, since it uses less digits than its factorization.

40447742976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388887 (or 4388866 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 40447742976 in words is "forty billion, four hundred forty-seven million, seven hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 4388861 8777722 13166583 17555444 26333166 35110888 39499749 52666332 70221776 78999498 105332664 140443552 157998996 210665328 280887104 315997992 421330656 561774208 631995984 842661312 1123548416 1263991968 1685322624 2247096832 2527983936 3370645248 4494193664 5055967872 6741290496 10111935744 13482580992 20223871488 40447742976