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11221141041404 = 2272474992441083
BaseRepresentation
bin1010001101001010000000…
…1000000011000011111100
31110201201201121112112121022
42203102200020003003330
52432321344101311104
635510530535323312
72235462223053500
oct243224010030374
943651647475538
1011221141041404
11363694a646458
121312895520538
136351c263b388
142ab16b2c2300
15146d4ab3abbe
hexa34a02030fc

11221141041404 has 72 divisors (see below), whose sum is σ = 23375820384000. Its totient is φ = 4697305742304.

The previous prime is 11221141041403. The next prime is 11221141041413. The reversal of 11221141041404 is 40414014112211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221141041401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3376247 + ... + 5817329.

It is an arithmetic number, because the mean of its divisors is an integer number (324664172000).

Almost surely, 211221141041404 is an apocalyptic number.

11221141041404 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 11221141041404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687910192000).

11221141041404 is an abundant number, since it is smaller than the sum of its proper divisors (12154679342596).

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

11221141041404 is a wasteful number, since it uses less digits than its factorization.

11221141041404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441647 (or 2441638 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 11221141041404 its reverse (40414014112211), we get a palindrome (51635155153615).

The spelling of 11221141041404 in words is "eleven trillion, two hundred twenty-one billion, one hundred forty-one million, forty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 499 658 998 1316 1996 2303 3493 4606 6986 9212 13972 23453 24451 46906 48902 93812 97804 164171 328342 656684 1149197 2298394 2441083 4596788 4882166 9764332 17087581 34175162 68350324 114730901 119613067 229461802 239226134 458923604 478452268 803116307 1218100417 1606232614 2436200834 3212465228 4872401668 5621814149 8526702919 11243628298 17053405838 22487256596 34106811676 57250719599 59686920433 114501439198 119373840866 229002878396 238747681732 400755037193 801510074386 1603020148772 2805285260351 5610570520702 11221141041404