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2142702144 = 2632113110909
BaseRepresentation
bin111111110110111…
…0000101001000000
312112022212112202200
41333231300221000
513342012432034
6552341313200
7104045445012
oct17755605100
95468775680
102142702144
119aa554920
124b9705800
13281bbc5bb
141648041b2
15c819ea99
hex7fb70a40

2142702144 has 168 divisors, whose sum is σ = 6916765440. Its totient is φ = 628300800.

The previous prime is 2142702131. The next prime is 2142702193. The reversal of 2142702144 is 4412072412.

2142702144 is a `hidden beast` number, since 21 + 427 + 0 + 214 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190962 + ... + 201870.

Almost surely, 22142702144 is an apocalyptic number.

2142702144 is a gapful number since it is divisible by the number (24) 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 2142702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458382720).

2142702144 is an abundant number, since it is smaller than the sum of its proper divisors (4774063296).

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

2142702144 is a wasteful number, since it uses less digits than its factorization.

2142702144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10969 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2142702144 is about 46289.3307793491. The cubic root of 2142702144 is about 1289.2009040532.

Adding to 2142702144 its reverse (4412072412), we get a palindrome (6554774556).

The spelling of 2142702144 in words is "two billion, one hundred forty-two million, seven hundred two thousand, one hundred forty-four".