Search a number
-
+
34545241310224 = 2423593208375997
BaseRepresentation
bin1111101101011001100001…
…10101100100010000010000
311112022111022021002212010011
413312230300311210100100
514011442123233411344
6201245510442444304
710163545166150431
oct766546065442020
9145274267085104
1034545241310224
11100096111440a7
123a5b123503694
1316377aa285ba8
14875dda235488
153ed9035bed34
hex1f6b30d64410

34545241310224 has 80 divisors (see below), whose sum is σ = 69993749434752. Its totient is φ = 16485640833024.

The previous prime is 34545241310213. The next prime is 34545241310231. The reversal of 34545241310224 is 42201314254543.

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, 454522594 + ... + 454598590.

Almost surely, 234545241310224 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 34545241310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34996874717376).

34545241310224 is an abundant number, since it is smaller than the sum of its proper divisors (35448508124528).

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

34545241310224 is a wasteful number, since it uses less digits than its factorization.

34545241310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78704 (or 78698 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 34545241310224 its reverse (42201314254543), we get a palindrome (76746555564767).

The spelling of 34545241310224 in words is "thirty-four trillion, five hundred forty-five billion, two hundred forty-one million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 593 1186 2083 2372 4166 4744 8332 9488 13639 16664 27278 33328 47909 54556 75997 95818 109112 151994 191636 218224 303988 383272 607976 766544 1215952 1235219 1747931 2470438 3495862 4940876 6991724 9881752 13983448 19763504 27966896 28410037 45066221 56820074 90132442 113640148 158301751 180264884 227280296 316603502 360529768 454560592 633207004 721059536 1036523083 1266414008 2073046166 2532828016 3640940273 4146092332 7281880546 8292184664 14563761092 16584369328 29127522184 58255044368 93872938343 187745876686 375491753372 750983506744 1501967013488 2159077581889 4318155163778 8636310327556 17272620655112 34545241310224