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8035014142848 = 273711318766031
BaseRepresentation
bin111010011101100110000…
…1010011110101110000000
31001110010202221200011010210
41310323030022132232000
52023121202110032343
625031122354354120
71456340066215320
oct164731412365600
931403687604123
108035014142848
1126186a3013a80
12a992a5b8b940
13463910a2a294
141dac7a9cb280
15de020d8b333
hex74ecc29eb80

8035014142848 has 256 divisors, whose sum is σ = 27467835310080. Its totient is φ = 2019693312000.

The previous prime is 8035014142811. The next prime is 8035014142871. The reversal of 8035014142848 is 8482414105308.

It is a happy number.

It is a super-2 number, since 2×80350141428482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8035014142797 and 8035014142806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3466408 + ... + 5299623.

It is an arithmetic number, because the mean of its divisors is an integer number (107296231680).

Almost surely, 28035014142848 is an apocalyptic number.

8035014142848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8035014142848 is an abundant number, since it is smaller than the sum of its proper divisors (19432821167232).

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

8035014142848 is a wasteful number, since it uses less digits than its factorization.

8035014142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766097 (or 8766085 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 8035014142848 in words is "eight trillion, thirty-five billion, fourteen million, one hundred forty-two thousand, eight hundred forty-eight".