Search a number
-
+
44061788281 = 7215721912
BaseRepresentation
bin101001000010010010…
…011000100001111001
311012201202000202112111
4221002102120201321
51210214304211111
632124113012321
73116615010100
oct510222304171
9135652022474
1044061788281
1117760804765
1286582540a1
134202728b94
1421bdc07037
15122d3b4a21
hexa42498879

44061788281 has 27 divisors (see below), whose sum is σ = 51855585327. Its totient is φ = 37330216560.

The previous prime is 44061788263. The next prime is 44061788327. The reversal of 44061788281 is 18288716044.

The square root of 44061788281 is 209909.

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., 12915186025 + 31146602256 = 113645^2 + 176484^2 .

It is not a de Polignac number, because 44061788281 - 223 = 44053399673 is a prime.

It is a super-2 number, since 2×440617882812 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (44061788081) 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, 230689896 + ... + 230690086.

Almost surely, 244061788281 is an apocalyptic number.

44061788281 is the 209909-th square number.

44061788281 is the 104955-th centered octagonal number.

It is an amenable number.

44061788281 is a deficient number, since it is larger than the sum of its proper divisors (7793797046).

44061788281 is an frugal number, since it uses more digits than its factorization.

44061788281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

Multiplying 44061788281 by its sum of digits (49), we get a square (2159027625769 = 14693632).

44061788281 divided by its sum of digits (49) gives a square (899220169 = 299872).

The spelling of 44061788281 in words is "forty-four billion, sixty-one million, seven hundred eighty-eight thousand, two hundred eighty-one".

Divisors: 1 7 49 157 191 1099 1337 7693 9359 24649 29987 36481 172543 209909 255367 1207801 1469363 1787569 4707959 5727517 32955713 40092619 230689991 280648333 899220169 6294541183 44061788281