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203423441144 = 237112154919381
BaseRepresentation
bin1011110101110011111…
…0110110000011111000
3201110001221002111212212
42331130332312003320
511313102400104034
6233241302154252
720461010501660
oct2753476660370
9643057074785
10203423441144
11792a9258200
1233512122988
131624b6617b1
149bbaa311a0
155458cac2ce
hex2f5cfb60f8

203423441144 has 96 divisors (see below), whose sum is σ = 479471916000. Its totient is φ = 79200633600.

The previous prime is 203423441129. The next prime is 203423441147. The reversal of 203423441144 is 441144324302.

It is a super-4 number, since 4×2034234411444 (a number of 46 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203423441144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203423441147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10486334 + ... + 10505714.

It is an arithmetic number, because the mean of its divisors is an integer number (4994499125).

Almost surely, 2203423441144 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 203423441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239735958000).

203423441144 is an abundant number, since it is smaller than the sum of its proper divisors (276048474856).

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

203423441144 is a wasteful number, since it uses less digits than its factorization.

203423441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20965 (or 20950 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 203423441144 its reverse (441144324302), we get a palindrome (644567765446).

The spelling of 203423441144 in words is "two hundred three billion, four hundred twenty-three million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1549 1694 3098 3388 6196 6776 10843 12392 17039 19381 21686 34078 38762 43372 68156 77524 86744 119273 135667 136312 155048 187429 213191 238546 271334 374858 426382 477092 542668 749716 852764 954184 1085336 1312003 1492337 1499432 1705528 2345101 2624006 2984674 4690202 5248012 5969348 9380404 10496024 11938696 16415707 18760808 30021169 32831414 60042338 65662828 120084676 131325656 210148183 240169352 330232859 420296366 660465718 840592732 1320931436 1681185464 2311630013 2641862872 3632561449 4623260026 7265122898 9246520052 14530245796 18493040104 25427930143 29060491592 50855860286 101711720572 203423441144