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40341723984 = 2432280150861
BaseRepresentation
bin100101100100100011…
…011101101101010000
310212010111001220200100
4211210203131231100
51130104440131414
630311023052400
72625463665432
oct454443355520
9125114056610
1040341723984
1116121940361
12799a441100
133a5bacb7c3
141d49b22652
1510b19d8609
hex9648ddb50

40341723984 has 30 divisors (see below), whose sum is σ = 112900797386. Its totient is φ = 13447241280.

The previous prime is 40341723973. The next prime is 40341723997. The reversal of 40341723984 is 48932714304.

40341723984 is a `hidden beast` number, since 403 + 4 + 1 + 7 + 239 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28103169600 + 12238554384 = 167640^2 + 110628^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140075287 + ... + 140075574.

Almost surely, 240341723984 is an apocalyptic number.

It is an amenable number.

40341723984 is an abundant number, since it is smaller than the sum of its proper divisors (72559073402).

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

40341723984 is a wasteful number, since it uses less digits than its factorization.

40341723984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280150875 (or 280150866 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40341723984 in words is "forty billion, three hundred forty-one million, seven hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 280150861 560301722 840452583 1120603444 1680905166 2241206888 2521357749 3361810332 4482413776 5042715498 6723620664 10085430996 13447241328 20170861992 40341723984