Search a number
-
+
1228641450481 = 19222722572
BaseRepresentation
bin10001111000010000101…
…111001011100111110001
311100110100010122112202201
4101320100233023213301
5130112224202403411
62340232522143201
7154523611005064
oct21702057134761
94313303575681
101228641450481
11434078082825
1217a151651b01
138bb25385143
14436763708db
1521e5e40b3c1
hex11e10bcb9f1

1228641450481 has 27 divisors (see below), whose sum is σ = 1307535383019. Its totient is φ = 1154339324928.

The previous prime is 1228641450467. The next prime is 1228641450497. The reversal of 1228641450481 is 1840541468221.

The square root of 1228641450481 is 1108441.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1209593034225 + 19048416256 = 1099815^2 + 138016^2 .

It is a de Polignac number, because none of the positive numbers 2k-1228641450481 is a prime.

It is a super-2 number, since 2×12286414504812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1228641450451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4780705905 + ... + 4780706161.

Almost surely, 21228641450481 is an apocalyptic number.

1228641450481 is the 1108441-st square number.

1228641450481 is the 554221-st centered octagonal number.

It is an amenable number.

1228641450481 is a deficient number, since it is larger than the sum of its proper divisors (78893932538).

1228641450481 is an frugal number, since it uses more digits than its factorization.

1228641450481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 1228641450481 in words is "one trillion, two hundred twenty-eight billion, six hundred forty-one million, four hundred fifty thousand, four hundred eighty-one".

Divisors: 1 19 227 257 361 4313 4883 51529 58339 66049 81947 92777 979051 1108441 1254931 13242953 14993123 18601969 21060379 23843689 251616107 284869337 3403438921 4780706033 5412517403 64665339499 1228641450481