Search a number
-
+
2142780144 = 24344641253
BaseRepresentation
bin111111110111000…
…0011101011110000
312112100000111202120
41333232003223300
513342022431034
6552343114240
7104046221301
oct17756035360
95470014676
102142780144
119aa5a848a
124b9742980
13281c18c5b
141648247a8
15c81b7c49
hex7fb83af0

2142780144 has 20 divisors (see below), whose sum is σ = 5535515496. Its totient is φ = 714260032.

The previous prime is 2142780103. The next prime is 2142780193. The reversal of 2142780144 is 4410872412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22320579 + ... + 22320674.

Almost surely, 22142780144 is an apocalyptic number.

2142780144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142780144 is an abundant number, since it is smaller than the sum of its proper divisors (3392735352).

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

2142780144 is a wasteful number, since it uses less digits than its factorization.

2142780144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44641264 (or 44641258 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2142780144 is about 46290.1732984442. The cubic root of 2142780144 is about 1289.2165472993.

The spelling of 2142780144 in words is "two billion, one hundred forty-two million, seven hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 44641253 89282506 133923759 178565012 267847518 357130024 535695036 714260048 1071390072 2142780144