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1914534144 = 2834127727
BaseRepresentation
bin111001000011101…
…0111100100000000
311221102112102010000
41302013113210000
512410110043034
6513551040000
765305162125
oct16207274400
94842472100
101914534144
118a2782926
12455210000
13246852153
141423ac74c
15b312e599
hex721d7900

1914534144 has 180 divisors, whose sum is σ = 5761659904. Its totient is φ = 632282112.

The previous prime is 1914534133. The next prime is 1914534157. The reversal of 1914534144 is 4414354191.

1914534144 is a `hidden beast` number, since 191 + 4 + 53 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1914534099 and 1914534108.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2633109 + ... + 2633835.

Almost surely, 21914534144 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 1914534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880829952).

1914534144 is an abundant number, since it is smaller than the sum of its proper divisors (3847125760).

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

1914534144 is an equidigital number, since it uses as much as digits as its factorization.

1914534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 859 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1914534144 is about 43755.3898851330. The cubic root of 1914534144 is about 1241.7124588150.

The spelling of 1914534144 in words is "one billion, nine hundred fourteen million, five hundred thirty-four thousand, one hundred forty-four".