Search a number
-
+
21214035644305 = 5721729091750913
BaseRepresentation
bin1001101001011010001110…
…00011110000111110010001
32210010001010121201020000011
410310231013003300332101
510240032321111104210
6113041332103154521
74316443402520500
oct464550703607621
983101117636004
1021214035644305
116839905088469
122467509745a41
13bab6236aa6ca
14534a9c89a837
1526bc5bd95d8a
hex134b470f0f91

21214035644305 has 48 divisors (see below), whose sum is σ = 31365803359440. Its totient is φ = 13686360834048.

The previous prime is 21214035644293. The next prime is 21214035644341. The reversal of 21214035644305 is 50344653041212.

It can be written as a sum of positive squares in 8 ways, for example, as 30256167249 + 21183779477056 = 173943^2 + 4602584^2 .

It is not a de Polignac number, because 21214035644305 - 29 = 21214035643793 is a prime.

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, 11240529 + ... + 12991441.

It is an arithmetic number, because the mean of its divisors is an integer number (653454236655).

Almost surely, 221214035644305 is an apocalyptic number.

It is an amenable number.

21214035644305 is a deficient number, since it is larger than the sum of its proper divisors (10151767715135).

21214035644305 is a wasteful number, since it uses less digits than its factorization.

21214035644305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753858 (or 1753851 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 21214035644305 its reverse (50344653041212), we get a palindrome (71558688685517).

The spelling of 21214035644305 in words is "twenty-one trillion, two hundred fourteen billion, thirty-five million, six hundred forty-four thousand, three hundred five".

Divisors: 1 5 7 17 35 49 85 119 245 595 833 2909 4165 14545 20363 49453 101815 142541 247265 346171 712705 1730855 1750913 2423197 8754565 12115985 12256391 29765521 61281955 85794737 148827605 208358647 428973685 1041793235 1458510529 5093405917 7292552645 25467029585 35653841419 86587900589 178269207095 249576889933 432939502945 606115304123 1247884449665 3030576520615 4242807128861 21214035644305