Search a number
-
+
1134951446281 = 372287932
BaseRepresentation
bin10000100001000000011…
…000001011011100001001
311000111111201101012111011
4100201000120023130021
5122043340032240111
62225220044203521
7144666104055562
oct20410030133411
94014451335434
101134951446281
113a836a559994
12163b64b395a1
1383043c2bc33
143cd09375169
151e7c9140021
hex1084060b709

1134951446281 has 9 divisors (see below), whose sum is σ = 1166495359701. Its totient is φ = 1104238730592.

The previous prime is 1134951446263. The next prime is 1134951446309. The reversal of 1134951446281 is 1826441594311.

The square root of 1134951446281 is 1065341.

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

It can be written as a sum of positive squares in 4 ways, for example, as 53226642681 + 1081724803600 = 230709^2 + 1040060^2 .

It is not a de Polignac number, because 1134951446281 - 29 = 1134951445769 is a prime.

It is a super-2 number, since 2×11349514462812 (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 (1134951416281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39403221 + ... + 39432013.

Almost surely, 21134951446281 is an apocalyptic number.

1134951446281 is the 1065341-st square number.

1134951446281 is the 532671-st centered octagonal number.

It is an amenable number.

1134951446281 is a deficient number, since it is larger than the sum of its proper divisors (31543913420).

1134951446281 is an frugal number, since it uses more digits than its factorization.

1134951446281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57660 (or 28830 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

Multiplying 1134951446281 by its sum of digits (49), we get a square (55612620867769 = 74573872).

The spelling of 1134951446281 in words is "one trillion, one hundred thirty-four billion, nine hundred fifty-one million, four hundred forty-six thousand, two hundred eighty-one".

Divisors: 1 37 1369 28793 1065341 39417617 829036849 30674363413 1134951446281