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2144313010 = 25725418089
BaseRepresentation
bin111111111001111…
…1001111010110010
312112102220101110101
41333303321322302
513342421004020
6552440023014
7104065234300
oct17763717262
95472811411
102144313010
11a00455114
124ba161a6a
13282334888
14164b03270
15c83bc00a
hex7fcf9eb2

2144313010 has 48 divisors (see below), whose sum is σ = 4498784280. Its totient is φ = 733743360.

The previous prime is 2144312959. The next prime is 2144313013. The reversal of 2144313010 is 103134412.

It can be written as a sum of positive squares in 4 ways, for example, as 927628849 + 1216684161 = 30457^2 + 34881^2 .

It is not an unprimeable number, because it can be changed into a prime (2144313013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261046 + ... + 269134.

Almost surely, 22144313010 is an apocalyptic number.

2144313010 is an abundant number, since it is smaller than the sum of its proper divisors (2354471270).

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

2144313010 is a wasteful number, since it uses less digits than its factorization.

2144313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2144313010 is about 46306.7274810043. The cubic root of 2144313010 is about 1289.5238933690.

Adding to 2144313010 its reverse (103134412), we get a palindrome (2247447422).

It can be divided in two parts, 21443 and 13010, that added together give a triangular number (34453 = T262).

The spelling of 2144313010 in words is "two billion, one hundred forty-four million, three hundred thirteen thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 541 1082 2705 3787 5410 7574 8089 16178 18935 26509 37870 40445 53018 56623 80890 113246 132545 265090 283115 396361 566230 792722 1981805 3963610 4376149 8752298 21880745 30633043 43761490 61266086 153165215 214431301 306330430 428862602 1072156505 2144313010