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9940460840640 = 2633511104592391
BaseRepresentation
bin1001000010100111000110…
…1000110010011011000000
31022012022001210210120121000
42100221301220302123000
52300331030433400030
633050330142132000
72044113613006311
oct220516150623300
938168053716530
109940460840640
1131927a8aa73a0
121146640281000
135714c6022405
1426519995a608
15123892dc0860
hex90a71a326c0

9940460840640 has 224 divisors, whose sum is σ = 38255713297920. Its totient is φ = 2409808665600.

The previous prime is 9940460840621. The next prime is 9940460840641. The reversal of 9940460840640 is 460480640499.

It is a happy number.

9940460840640 is a `hidden beast` number, since 9 + 9 + 40 + 460 + 84 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9940460840641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52201156 + ... + 52391235.

Almost surely, 29940460840640 is an apocalyptic number.

9940460840640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9940460840640 is an abundant number, since it is smaller than the sum of its proper divisors (28315252457280).

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

9940460840640 is a wasteful number, since it uses less digits than its factorization.

9940460840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104592428 (or 104592412 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 9940460840640 in words is "nine trillion, nine hundred forty billion, four hundred sixty million, eight hundred forty thousand, six hundred forty".