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8140935120 = 243533920563
BaseRepresentation
bin1111001010011110…
…01100111111010000
3210000100121100112120
413211033030333100
5113133034410440
63423452254240
7405511543503
oct74517147720
923010540476
108140935120
1134a838905a
1216b2471380
139c97b9c96
145732b313a
15329a88dd0
hex1e53ccfd0

8140935120 has 40 divisors (see below), whose sum is σ = 25236899616. Its totient is φ = 2170915968.

The previous prime is 8140935043. The next prime is 8140935137. The reversal of 8140935120 is 215390418.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16960042 + ... + 16960521.

Almost surely, 28140935120 is an apocalyptic number.

8140935120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8140935120 is an abundant number, since it is smaller than the sum of its proper divisors (17095964496).

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

8140935120 is a wasteful number, since it uses less digits than its factorization.

8140935120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33920579 (or 33920573 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8140935120 is about 90227.1307312828. The cubic root of 8140935120 is about 2011.6762927688.

The spelling of 8140935120 in words is "eight billion, one hundred forty million, nine hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 33920563 67841126 101761689 135682252 169602815 203523378 271364504 339205630 407046756 508808445 542729008 678411260 814093512 1017616890 1356822520 1628187024 2035233780 2713645040 4070467560 8140935120