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1427214288192 = 263721179174571
BaseRepresentation
bin10100110001001100100…
…110011100010101000000
312001102220000110212122120
4110301030212130111000
5141340413324210232
63011353031204240
7205053462200100
oct24611446342500
95042800425576
101427214288192
11500307292860
121b072b216680
13a477cb05394
144d112aad200
15271d242292c
hex14c4c99c540

1427214288192 has 336 divisors, whose sum is σ = 4852710558720. Its totient is φ = 366010444800.

The previous prime is 1427214288191. The next prime is 1427214288209. The reversal of 1427214288192 is 2918824127241.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427214288191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8088267 + ... + 8262837.

Almost surely, 21427214288192 is an apocalyptic number.

1427214288192 is a gapful number since it is divisible by the number (12) 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 1427214288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426355279360).

1427214288192 is an abundant number, since it is smaller than the sum of its proper divisors (3425496270528).

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

1427214288192 is a wasteful number, since it uses less digits than its factorization.

1427214288192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174690 (or 174673 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The spelling of 1427214288192 in words is "one trillion, four hundred twenty-seven billion, two hundred fourteen million, two hundred eighty-eight thousand, one hundred ninety-two".