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1141411104 = 253236710799
BaseRepresentation
bin100010000001000…
…1000110100100000
32221112202200200100
41010002020310200
54314200123404
6305132222400
740166556111
oct10402106440
92845680610
101141411104
1153632a069
1227a30aa00
1315261c8b2
14ab83c208
156a315d39
hex44088d20

1141411104 has 72 divisors (see below), whose sum is σ = 3255033600. Its totient is φ = 379398528.

The previous prime is 1141411091. The next prime is 1141411151. The reversal of 1141411104 is 4011141411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100297 + ... + 111095.

It is an arithmetic number, because the mean of its divisors is an integer number (45208800).

Almost surely, 21141411104 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 1141411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627516800).

1141411104 is an abundant number, since it is smaller than the sum of its proper divisors (2113622496).

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

1141411104 is a wasteful number, since it uses less digits than its factorization.

1141411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1141411104 is about 33784.7762165150. The cubic root of 1141411104 is about 1045.0747728522.

Adding to 1141411104 its reverse (4011141411), we get a palindrome (5152552515).

The spelling of 1141411104 in words is "one billion, one hundred forty-one million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 367 734 1101 1468 2202 2936 3303 4404 5872 6606 8808 10799 11744 13212 17616 21598 26424 32397 35232 43196 52848 64794 86392 97191 105696 129588 172784 194382 259176 345568 388764 518352 777528 1036704 1555056 3110112 3963233 7926466 11889699 15852932 23779398 31705864 35669097 47558796 63411728 71338194 95117592 126823456 142676388 190235184 285352776 380470368 570705552 1141411104