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1429442560000 = 21554713259
BaseRepresentation
bin10100110011010001011…
…010101000000000000000
312001122122022100210221001
4110303101122220000000
5141404444243410000
63012402110541344
7205162630166260
oct24632132500000
95048568323831
101429442560000
11501250072404
121b1051507854
13a4a46655200
144d2849c97a0
15272b2d7646a
hex14cd16a8000

1429442560000 has 960 divisors, whose sum is σ = 4495900226400. Its totient is φ = 444727296000.

The previous prime is 1429442559997. The next prime is 1429442560009. The reversal of 1429442560000 is 652449241.

It is not an unprimeable number, because it can be changed into a prime (1429442560009) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 24227839971 + ... + 24227840029.

Almost surely, 21429442560000 is an apocalyptic number.

1429442560000 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 1429442560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247950113200).

1429442560000 is an abundant number, since it is smaller than the sum of its proper divisors (3066457666400).

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

1429442560000 is an frugal number, since it uses more digits than its factorization.

1429442560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 1429442560000 in words is "one trillion, four hundred twenty-nine billion, four hundred forty-two million, five hundred sixty thousand".