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14048295140880 = 243557111343103163
BaseRepresentation
bin1100110001101101111110…
…1001000011111000010000
31211202000002211202022100000
43030123133221003320100
53320131402024002010
645513410411330000
72646645564312420
oct314333751037020
954660084668300
1014048295140880
114526937406860
1216aa7a1750900
137ab9967357a0
14367d265b0480
15195665c7e7c0
hexcc6dfa43e10

14048295140880 has 3840 divisors, whose sum is σ = 68287853297664. Its totient is φ = 2590370979840.

The previous prime is 14048295140849. The next prime is 14048295140899. The reversal of 14048295140880 is 8804159284041.

14048295140880 is a `hidden beast` number, since 1 + 4 + 0 + 48 + 2 + 9 + 514 + 0 + 8 + 80 = 666.

14048295140880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 86185859679 + ... + 86185859841.

Almost surely, 214048295140880 is an apocalyptic number.

14048295140880 is a gapful number since it is divisible by the number (10) 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 14048295140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34143926648832).

14048295140880 is an abundant number, since it is smaller than the sum of its proper divisors (54239558156784).

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

14048295140880 is a wasteful number, since it uses less digits than its factorization.

14048295140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 14048295140880 in words is "fourteen trillion, forty-eight billion, two hundred ninety-five million, one hundred forty thousand, eight hundred eighty".