Search a number
-
+
11411431444 = 2272292107647
BaseRepresentation
bin10101010000010110…
…01010000000010100
31002110021121210002001
422220023022000110
5141332311301234
65124202325044
7552533365300
oct125013120024
932407553061
1011411431444
114926501386
1222657b9784
1310cb23c1ca
147a37acd00
1546bc5ed14
hex2a82ca014

11411431444 has 108 divisors (see below), whose sum is σ = 24321469536. Its totient is φ = 4670611008.

The previous prime is 11411431433. The next prime is 11411431501. The reversal of 11411431444 is 44413411411.

It is a happy number.

It is a super-2 number, since 2×114114314442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17637129 + ... + 17637775.

It is an arithmetic number, because the mean of its divisors is an integer number (225198792).

Almost surely, 211411431444 is an apocalyptic number.

11411431444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11411431444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12160734768).

11411431444 is an abundant number, since it is smaller than the sum of its proper divisors (12910038092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11411431444 is a wasteful number, since it uses less digits than its factorization.

11411431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 792 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

Adding to 11411431444 its reverse (44413411411), we get a palindrome (55824842855).

The spelling of 11411431444 in words is "eleven billion, four hundred eleven million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 107 116 196 203 214 406 428 647 749 812 841 1294 1421 1498 1682 2588 2842 2996 3103 3364 4529 5243 5684 5887 6206 9058 10486 11774 12412 18116 18763 20972 21721 23548 31703 37526 41209 43442 63406 69229 75052 82418 86884 89987 126812 131341 138458 152047 164836 179974 262682 276916 304094 359948 484603 525364 544127 608188 629909 919387 969206 1088254 1259818 1838774 1938412 2007641 2176508 2519636 3392221 3677548 3808889 4015282 4409363 6784442 7617778 8030564 8818726 13568884 14053487 15235556 17637452 26662223 28106974 53324446 56213948 58221589 98374409 106648892 116443178 196748818 232886356 393497636 407551123 815102246 1630204492 2852857861 5705715722 11411431444