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4435312140 = 2234572271723
BaseRepresentation
bin1000010000101110…
…10111111000001100
3102110002211012110000
410020113113320030
533040414442030
62012040044300
7214624350120
oct41027277014
912402735400
104435312140
111976688726
12a39463690
13558b77b6c
143010ab580
151ae5b1860
hex1085d7e0c

4435312140 has 240 divisors, whose sum is σ = 15980735232. Its totient is φ = 1008733824.

The previous prime is 4435312103. The next prime is 4435312159. The reversal of 4435312140 is 412135344.

It is a happy number.

4435312140 is a `hidden beast` number, since 443 + 5 + 3 + 1 + 214 + 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 79 ways as a sum of consecutive naturals, for example, 2573319 + ... + 2575041.

Almost surely, 24435312140 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 4435312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990367616).

4435312140 is an abundant number, since it is smaller than the sum of its proper divisors (11545423092).

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

4435312140 is a wasteful number, since it uses less digits than its factorization.

4435312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4435312140 is about 66598.1391631928. The cubic root of 4435312140 is about 1643.0145007325.

Adding to 4435312140 its reverse (412135344), we get a palindrome (4847447484).

The spelling of 4435312140 in words is "four billion, four hundred thirty-five million, three hundred twelve thousand, one hundred forty".