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1434525818880 = 2133572113179
BaseRepresentation
bin10100111000000000011…
…001101110000000000000
312002010202120102010012110
4110320000121232000000
5142000402102201010
63015002334455320
7205432613162100
oct24700031560000
95063676363173
101434525818880
11503419477000
121b202b964540
13a53768155bb
144d607b61200
15274ae277120
hex14e0066e000

1434525818880 has 1344 divisors, whose sum is σ = 5905995482880. Its totient is φ = 296418017280.

The previous prime is 1434525818879. The next prime is 1434525818909. The reversal of 1434525818880 is 888185254341.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 1434525818880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8014110631 + ... + 8014110809.

Almost surely, 21434525818880 is an apocalyptic number.

1434525818880 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 1434525818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952997741440).

1434525818880 is an abundant number, since it is smaller than the sum of its proper divisors (4471469664000).

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

1434525818880 is an equidigital number, since it uses as much as digits as its factorization.

1434525818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 57.

The spelling of 1434525818880 in words is "one trillion, four hundred thirty-four billion, five hundred twenty-five million, eight hundred eighteen thousand, eight hundred eighty".