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203240013444 = 2232133413127241
BaseRepresentation
bin1011110101001000001…
…1000111111010000100
3201102121010221102101100
42331102003013322010
511312213420412234
6233211150500100
720453322416226
oct2752203077204
9642533842340
10203240013444
1179214764266
1233480804630
131621c65a6b0
149ba0524416
155447b28399
hex2f520c7e84

203240013444 has 72 divisors (see below), whose sum is σ = 553430935512. Its totient is φ = 62516574720.

The previous prime is 203240013443. The next prime is 203240013491. The reversal of 203240013444 is 444310042302.

It is a happy number.

203240013444 is a `hidden beast` number, since 203 + 2 + 4 + 0 + 0 + 13 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7593031044 + 195646982400 = 87138^2 + 442320^2 .

It is a super-2 number, since 2×2032400134442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203240013443) 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, 1533664 + ... + 1660904.

It is an arithmetic number, because the mean of its divisors is an integer number (7686540771).

Almost surely, 2203240013444 is an apocalyptic number.

It is an amenable number.

203240013444 is an abundant number, since it is smaller than the sum of its proper divisors (350190922068).

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

203240013444 is a wasteful number, since it uses less digits than its factorization.

203240013444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130677 (or 130672 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 203240013444 its reverse (444310042302), we get a palindrome (647550055746).

The spelling of 203240013444 in words is "two hundred three billion, two hundred forty million, thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3413 6826 10239 13652 20478 30717 40956 44369 61434 88738 122868 127241 133107 177476 254482 266214 381723 399321 508964 532428 763446 798642 1145169 1526892 1597284 1654133 2290338 3308266 4580676 4962399 6616532 9924798 14887197 19849596 29774394 59548788 434273533 868547066 1302820599 1737094132 2605641198 3908461797 5211282396 5645555929 7816923594 11291111858 15633847188 16936667787 22582223716 33873335574 50810003361 67746671148 101620006722 203240013444