Search a number
-
+
103444335143344 = 24133739193429781
BaseRepresentation
bin10111100001010100000010…
…110110011010100110110000
3111120021011220120112210220201
4113201110002312122212300
5102024312444244041334
61004001401014244544
730534415025614126
oct2741240266324660
9446234816483821
10103444335143344
112aa62550444688
12b728256656754
1345949b353bcc0
141b78a3810d916
15be5c57cbac14
hex5e1502d9a9b0

103444335143344 has 80 divisors (see below), whose sum is σ = 221730741796480. Its totient is φ = 46441306506240.

The previous prime is 103444335143333. The next prime is 103444335143399. The reversal of 103444335143344 is 443341533444301.

It is a junction number, because it is equal to n+sod(n) for n = 103444335143294 and 103444335143303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28445734 + ... + 31875514.

It is an arithmetic number, because the mean of its divisors is an integer number (2771634272456).

Almost surely, 2103444335143344 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 103444335143344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110865370898240).

103444335143344 is an abundant number, since it is smaller than the sum of its proper divisors (118286406653136).

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

103444335143344 is a wasteful number, since it uses less digits than its factorization.

103444335143344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433758 (or 3433752 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 46.

Adding to 103444335143344 its reverse (443341533444301), we get a palindrome (546785868587645).

The spelling of 103444335143344 in words is "one hundred three trillion, four hundred forty-four billion, three hundred thirty-five million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 3919 7696 7838 15676 31352 50947 62704 101894 145003 203788 290006 407576 580012 815152 1160024 1885039 2320048 3429781 3770078 6859562 7540156 13719124 15080312 27438248 30160624 44587153 54876496 89174306 126901897 178348612 253803794 356697224 507607588 713394448 1015215176 1649724661 2030430352 3299449322 6598898644 13197797288 13441311739 26395594576 26882623478 53765246956 107530493912 174737052607 215060987824 349474105214 497328534343 698948210428 994657068686 1397896420856 1989314137372 2795792841712 3978628274744 6465270946459 7957256549488 12930541892918 25861083785836 51722167571672 103444335143344