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1914114384 = 243271343279
BaseRepresentation
bin111001000010111…
…0001000101010000
311221101202002022100
41302011301011100
512410003130014
6513534040400
765301463260
oct16205610520
94841662270
101914114384
118a2516516
12455049100
13246736080
141422dd7a0
15b309a009
hex72171150

1914114384 has 360 divisors, whose sum is σ = 6835395840. Its totient is φ = 486839808.

The previous prime is 1914114353. The next prime is 1914114401. The reversal of 1914114384 is 4834114191.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24229257 + ... + 24229335.

Almost surely, 21914114384 is an apocalyptic number.

1914114384 is a gapful number since it is divisible by the number (14) 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 1914114384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417697920).

1914114384 is an abundant number, since it is smaller than the sum of its proper divisors (4921281456).

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

1914114384 is a wasteful number, since it uses less digits than its factorization.

1914114384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 147 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1914114384 is about 43750.5929559818. The cubic root of 1914114384 is about 1241.6217040448.

The spelling of 1914114384 in words is "one billion, nine hundred fourteen million, one hundred fourteen thousand, three hundred eighty-four".