Search a number
-
+
11438944209 = 32721124632
BaseRepresentation
bin10101010011101000…
…00110111111010001
31002112012101120111100
422221310012333101
5141411332203314
65131024135013
7553316264400
oct125164067721
932465346440
1011438944209
11493aa93100
122272a67469
131103b53054
147a72d1637
1546e396c09
hex2a9d06fd1

11438944209 has 81 divisors (see below), whose sum is σ = 21172436649. Its totient is φ = 5929474320.

The previous prime is 11438944183. The next prime is 11438944211. The reversal of 11438944209 is 90244983411.

11438944209 = 13 + 23 + ... + 4623.

The square root of 11438944209 is 106953.

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

11438944209 is a `hidden beast` number, since 1 + 1 + 438 + 9 + 4 + 4 + 209 = 666.

It is not a de Polignac number, because 11438944209 - 211 = 11438942161 is a prime.

It is a super-2 number, since 2×114389442092 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11438940209) 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, 24705912 + ... + 24706374.

Almost surely, 211438944209 is an apocalyptic number.

11438944209 is the 106953-rd square number.

11438944209 is the 53477-th centered octagonal number.

It is an amenable number.

11438944209 is a deficient number, since it is larger than the sum of its proper divisors (9733492440).

11438944209 is an equidigital number, since it uses as much as digits as its factorization.

11438944209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11438944209 in words is "eleven billion, four hundred thirty-eight million, nine hundred forty-four thousand, two hundred nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 463 539 693 847 1089 1389 1617 2541 3241 4167 4851 5093 5929 7623 9723 15279 17787 22687 29169 35651 45837 53361 56023 68061 106953 168069 204183 214369 249557 320859 392161 504207 643107 748671 1176483 1500583 1929321 2246013 2358059 2745127 3529449 4501749 7074177 8235381 10504081 13505247 16506413 21222531 24706143 25938649 31512243 49519239 77815947 94536729 115544891 148557717 181570543 233447841 346634673 544711629 1039904019 1270993801 1634134887 3812981403 11438944209