Search a number
-
+
9444502922481 = 3211223240492
BaseRepresentation
bin1000100101101111100000…
…1111011110010011110001
31020102212220122110220020100
42021123320033132103301
52214214320222004411
632030424510503013
71663225405162044
oct211337017362361
936385818426210
109444502922481
113011433755900
1210864a8b04a69
135367c743b353
1424918b4c2c5b
15115a17076456
hex896f83de4f1

9444502922481 has 81 divisors (see below), whose sum is σ = 15679165743787. Its totient is φ = 5473721953920.

The previous prime is 9444502922473. The next prime is 9444502922521. The reversal of 9444502922481 is 1842292054449.

The square root of 9444502922481 is 3073191.

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

9444502922481 is a `hidden beast` number, since 9 + 4 + 4 + 4 + 502 + 92 + 2 + 48 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2306628900081 + 7137874022400 = 1518759^2 + 2671680^2 .

It is not a de Polignac number, because 9444502922481 - 23 = 9444502922473 is a prime.

It is a super-2 number, since 2×94445029224812 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9444502922411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2332549945 + ... + 2332553993.

Almost surely, 29444502922481 is an apocalyptic number.

9444502922481 is the 3073191-st square number.

9444502922481 is the 1536596-th centered octagonal number.

It is an amenable number.

9444502922481 is a deficient number, since it is larger than the sum of its proper divisors (6234662821306).

9444502922481 is an equidigital number, since it uses as much as digits as its factorization.

9444502922481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 9444502922481 in words is "nine trillion, four hundred forty-four billion, five hundred two million, nine hundred twenty-two thousand, four hundred eighty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 529 759 1089 1587 2277 2783 4049 4761 5819 8349 12147 17457 25047 36441 44539 52371 64009 93127 133617 192027 279381 400851 489929 576081 838143 1024397 1469787 2141921 3073191 4409361 6425763 9219573 11268367 16394401 19277289 23561131 33805101 49183203 70683393 101415303 147549609 180338411 212050179 259172441 377071223 541015233 777517323 1131213669 1623045699 1983722521 2332551969 3393641007 4147783453 5951167563 8672638129 12443350359 17853502689 26017914387 37330051077 45625617983 78053743161 95399019419 136876853949 286197058257 410630561847 858591174771 1049389213609 3148167640827 9444502922481