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1434522912480 = 253357192331397
BaseRepresentation
bin10100111000000000001…
…110101000011011100000
312002010202100221110101000
4110320000032220123200
5142000400331144410
63015002152312000
7205432546365450
oct24700016503340
95063670843330
101434522912480
11503417871419
121b202a9a2600
13a5376038738
144d607605d60
15274adda0dc0
hex14e003a86e0

1434522912480 has 1152 divisors, whose sum is σ = 6089587983360. Its totient is φ = 308914974720.

The previous prime is 1434522912443. The next prime is 1434522912509. The reversal of 1434522912480 is 842192254341.

1434522912480 is a `hidden beast` number, since 1 + 4 + 34 + 52 + 2 + 91 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3613407642 + ... + 3613408038.

It is an arithmetic number, because the mean of its divisors is an integer number (5286100680).

Almost surely, 21434522912480 is an apocalyptic number.

1434522912480 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 1434522912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044793991680).

1434522912480 is an abundant number, since it is smaller than the sum of its proper divisors (4655065070880).

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

1434522912480 is a wasteful number, since it uses less digits than its factorization.

1434522912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1434522912480 in words is "one trillion, four hundred thirty-four billion, five hundred twenty-two million, nine hundred twelve thousand, four hundred eighty".