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144210214413 = 32175091851769
BaseRepresentation
bin1000011001001110011…
…0010011111000001101
3111210020020221221011100
42012103212103320031
54330320303330123
6150125501213313
713263443411616
oct2062346237015
9453206857140
10144210214413
11561829a7591
1223b47861239
13107a2c06025
146da0862c0d
153b4066c643
hex2193993e0d

144210214413 has 24 divisors (see below), whose sum is σ = 220990231800. Its totient is φ = 90307021824.

The previous prime is 144210214411. The next prime is 144210214427. The reversal of 144210214413 is 314412012441.

144210214413 is a `hidden beast` number, since 1 + 4 + 4 + 210 + 2 + 1 + 441 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92293224804 + 51916989609 = 303798^2 + 227853^2 .

It is not a de Polignac number, because 144210214413 - 21 = 144210214411 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144210214411) 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, 848008 + ... + 1003761.

It is an arithmetic number, because the mean of its divisors is an integer number (9207926325).

Almost surely, 2144210214413 is an apocalyptic number.

It is an amenable number.

144210214413 is a deficient number, since it is larger than the sum of its proper divisors (76780017387).

144210214413 is a wasteful number, since it uses less digits than its factorization.

144210214413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852301 (or 1852298 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144210214413 its reverse (314412012441), we get a palindrome (458622226854).

The spelling of 144210214413 in words is "one hundred forty-four billion, two hundred ten million, two hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 153 509 1527 4581 8653 25959 77877 1851769 5555307 16665921 31480073 94440219 283320657 942550421 2827651263 8482953789 16023357157 48070071471 144210214413