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11413311444 = 22326715131337
BaseRepresentation
bin10101010000100100…
…10100111111010100
31002110102011021221200
422220102110333110
5141333301431234
65124310512500
7552555355323
oct125022247724
932412137850
1011413311444
1149275758a7
122266365730
1310cb749b32
147a3b3c0ba
1546bed1d99
hex2a8494fd4

11413311444 has 72 divisors (see below), whose sum is σ = 29475770688. Its totient is φ = 3722716800.

The previous prime is 11413311401. The next prime is 11413311461. The reversal of 11413311444 is 44411331411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348544 + ... + 379880.

It is an arithmetic number, because the mean of its divisors is an integer number (409385704).

Almost surely, 211413311444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11413311444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737885344).

11413311444 is an abundant number, since it is smaller than the sum of its proper divisors (18062459244).

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

11413311444 is a wasteful number, since it uses less digits than its factorization.

11413311444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31565 (or 31560 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 11413311444 its reverse (44411331411), we get a palindrome (55824642855).

The spelling of 11413311444 in words is "eleven billion, four hundred thirteen million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 151 201 268 302 402 453 603 604 804 906 1206 1359 1812 2412 2718 5436 10117 20234 30351 31337 40468 60702 62674 91053 94011 121404 125348 182106 188022 282033 364212 376044 564066 1128132 2099579 4199158 4731887 6298737 8398316 9463774 12597474 14195661 18896211 18927548 25194948 28391322 37792422 42586983 56782644 75584844 85173966 170347932 317036429 634072858 951109287 1268145716 1902218574 2853327861 3804437148 5706655722 11413311444