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8942942363040 = 2534571741233607
BaseRepresentation
bin1000001000100011000011…
…1001110001110110100000
31011122221022000210112220000
42002020300321301312200
52133010121221104130
631004155255220000
71612051306600410
oct202106071616640
934587260715800
108942942363040
112938753904a64
121005251377600
134cb414bb682a
1422cbaad14640
1510795e435260
hex82230e71da0

8942942363040 has 1920 divisors, whose sum is σ = 39355767779328. Its totient is φ = 1865802055680.

The previous prime is 8942942362997. The next prime is 8942942363077. The reversal of 8942942363040 is 403632492498.

8942942363040 is a `hidden beast` number, since 8 + 94 + 294 + 236 + 30 + 4 + 0 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 14733018417 + ... + 14733019023.

Almost surely, 28942942363040 is an apocalyptic number.

8942942363040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8942942363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677883889664).

8942942363040 is an abundant number, since it is smaller than the sum of its proper divisors (30412825416288).

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

8942942363040 is a wasteful number, since it uses less digits than its factorization.

8942942363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 8942942363040 in words is "eight trillion, nine hundred forty-two billion, nine hundred forty-two million, three hundred sixty-three thousand, forty".