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1434373209984 = 2731113234792371
BaseRepresentation
bin10100110111110111010…
…011100011111110000000
312002010100221020210011010
4110313313103203332000
5142000044020204414
63014535243520520
7205426051055151
oct24676723437600
95063327223133
101434373209984
11503350312750
121b1ba8829140
13a5351012090
144d5d1797928
15274a0b7e959
hex14df74e3f80

1434373209984 has 512 divisors, whose sum is σ = 4682487398400. Its totient is φ = 382816051200.

The previous prime is 1434373209943. The next prime is 1434373210031. The reversal of 1434373209984 is 4899023734341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604964319 + ... + 604966689.

It is an arithmetic number, because the mean of its divisors is an integer number (9145483200).

Almost surely, 21434373209984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434373209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341243699200).

1434373209984 is an abundant number, since it is smaller than the sum of its proper divisors (3248114188416).

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

1434373209984 is a wasteful number, since it uses less digits than its factorization.

1434373209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 1434373209984 in words is "one trillion, four hundred thirty-four billion, three hundred seventy-three million, two hundred nine thousand, nine hundred eighty-four".