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1434430080000 = 21033541719257
BaseRepresentation
bin10100110111111010101…
…100100000010000000000
312002010111220021002011000
4110313322230200100000
5142000203100030000
63014545034452000
7205430341335021
oct24677254402000
95063456232130
101434430080000
1150337a425a65
121b2003894000
13a535ca34488
144d5d915cc48
15274a5b65000
hex14dfab20400

1434430080000 has 1760 divisors, whose sum is σ = 5939516246400. Its totient is φ = 339738624000.

The previous prime is 1434430079989. The next prime is 1434430080029. The reversal of 1434430080000 is 800344341.

1434430080000 is a `hidden beast` number, since 14 + 344 + 300 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5581439872 + ... + 5581440128.

It is an arithmetic number, because the mean of its divisors is an integer number (3374725140).

Almost surely, 21434430080000 is an apocalyptic number.

1434430080000 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 1434430080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969758123200).

1434430080000 is an abundant number, since it is smaller than the sum of its proper divisors (4505086166400).

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

1434430080000 is a wasteful number, since it uses less digits than its factorization.

1434430080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 1434430080000 in words is "one trillion, four hundred thirty-four billion, four hundred thirty million, eighty thousand".