Search a number
-
+
144233002310453 = 7241971734278257
BaseRepresentation
bin100000110010110111011100…
…110111100001101100110101
3200220200112120220220000002022
4200302313130313201230311
5122401103142042413303
61230431420533122525
742244330153202600
oct4062673467415465
9626615526800068
10144233002310453
1141a58966726351
12142153a4789445
136263162c03444
142788cb37a1337
1511a1c70de3438
hex832ddcde1b35

144233002310453 has 48 divisors (see below), whose sum is σ = 174649135865904. Its totient is φ = 118679505960960.

The previous prime is 144233002310359. The next prime is 144233002310491. The reversal of 144233002310453 is 354013200332441.

It can be written as a sum of positive squares in 8 ways, for example, as 12138827382724 + 132094174927729 = 3484082^2 + 11493223^2 .

It is not a de Polignac number, because 144233002310453 - 242 = 139834955799349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144233002310953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31573901 + ... + 35852157.

It is an arithmetic number, because the mean of its divisors is an integer number (3638523663873).

Almost surely, 2144233002310453 is an apocalyptic number.

It is an amenable number.

144233002310453 is a deficient number, since it is larger than the sum of its proper divisors (30416133555451).

144233002310453 is a wasteful number, since it uses less digits than its factorization.

144233002310453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278582 (or 4278575 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 144233002310453 its reverse (354013200332441), we get a palindrome (498246202642894).

The spelling of 144233002310453 in words is "one hundred forty-four trillion, two hundred thirty-three billion, two million, three hundred ten thousand, four hundred fifty-three".

Divisors: 1 7 41 49 97 173 287 679 1211 2009 3977 4753 7093 8477 16781 27839 49651 117467 194873 347557 688021 822269 4278257 4816147 29947799 33713029 175408537 209634593 414990929 740138461 1227859759 2904936503 5180969227 8595018313 17014628089 20334555521 30345676901 36266784589 71793430717 119102396623 212419738307 502554015019 833716776361 1486938168149 2943530659397 3517878105133 20604714615779 144233002310453