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14578818007040 = 214572331181197
BaseRepresentation
bin1101010000100110010101…
…0001001100000000000000
31220121201110220010021110222
43110021211101030000000
53402324404402211130
651001225545442212
73033166462262060
oct324114521140000
956551426107428
1014578818007040
114710929772381
1217755807a0368
13819a133785c1
143858934673a0
151a436636ece5
hexd426544c000

14578818007040 has 960 divisors, whose sum is σ = 43528701984768. Its totient is φ = 4577977958400.

The previous prime is 14578818007003. The next prime is 14578818007067. The reversal of 14578818007040 is 4070081887541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74004152222 + ... + 74004152418.

Almost surely, 214578818007040 is an apocalyptic number.

14578818007040 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 14578818007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764350992384).

14578818007040 is an abundant number, since it is smaller than the sum of its proper divisors (28949883977728).

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

14578818007040 is a wasteful number, since it uses less digits than its factorization.

14578818007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 53.

The spelling of 14578818007040 in words is "fourteen trillion, five hundred seventy-eight billion, eight hundred eighteen million, seven thousand, forty".