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544214311050 = 2352113109129429
BaseRepresentation
bin1111110101101011011…
…00110110000010001010
31221000201020020102200110
413322311230312002022
532404022330423200
61054001505215150
754214065214314
oct7726554660212
91830636212613
10544214311050
1119a888877833
12895803314b6
133c41c349bc7
141c4a93b07b4
15e2525c4b50
hex7eb5b3608a

544214311050 has 96 divisors (see below), whose sum is σ = 1362889644480. Its totient is φ = 143702809600.

The previous prime is 544214310947. The next prime is 544214311093. The reversal of 544214311050 is 50113412445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 544214310999 and 544214311017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18477736 + ... + 18507164.

It is an arithmetic number, because the mean of its divisors is an integer number (14196767130).

Almost surely, 2544214311050 is an apocalyptic number.

544214311050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 544214311050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681444822240).

544214311050 is an abundant number, since it is smaller than the sum of its proper divisors (818675333430).

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

544214311050 is a wasteful number, since it uses less digits than its factorization.

544214311050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30648 (or 30643 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 544214311050 its reverse (50113412445), we get a palindrome (594327723495).

The spelling of 544214311050 in words is "five hundred forty-four billion, two hundred fourteen million, three hundred eleven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 226 339 565 678 1091 1130 1695 2182 2825 3273 3390 5455 5650 6546 8475 10910 16365 16950 27275 29429 32730 54550 58858 81825 88287 123283 147145 163650 176574 246566 294290 369849 441435 616415 735725 739698 882870 1232830 1471450 1849245 2207175 3082075 3325477 3698490 4414350 6164150 6650954 9246225 9976431 16627385 18492450 19952862 32107039 33254770 49882155 64214078 83136925 96321117 99764310 160535195 166273850 192642234 249410775 321070390 481605585 498821550 802675975 963211170 1605351950 2408027925 3628095407 4816055850 7256190814 10884286221 18140477035 21768572442 36280954070 54421431105 90702385175 108842862210 181404770350 272107155525 544214311050