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1141343104 = 27117431091
BaseRepresentation
bin100010000000111…
…1000001110000000
32221112122020101211
41010001320032000
54314140434404
6305130535504
740166153626
oct10401701600
92845566354
101141343104
11536292a70
1227a297594
131525c7965
14ab821516
156a300b04
hex44078380

1141343104 has 64 divisors (see below), whose sum is σ = 2486090880. Its totient is φ = 517619200.

The previous prime is 1141343083. The next prime is 1141343113. The reversal of 1141343104 is 4013431411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1045599 + ... + 1046689.

It is an arithmetic number, because the mean of its divisors is an integer number (38845170).

Almost surely, 21141343104 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 1141343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243045440).

1141343104 is an abundant number, since it is smaller than the sum of its proper divisors (1344747776).

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

1141343104 is a wasteful number, since it uses less digits than its factorization.

1141343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1141343104 is about 33783.7698310890. The cubic root of 1141343104 is about 1045.0540188646.

Adding to 1141343104 its reverse (4013431411), we get a palindrome (5154774515).

The spelling of 1141343104 in words is "one billion, one hundred forty-one million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 743 1091 1408 1486 2182 2972 4364 5944 8173 8728 11888 12001 16346 17456 23776 24002 32692 34912 47552 48004 65384 69824 95104 96008 130768 139648 192016 261536 384032 523072 768064 810613 1046144 1536128 1621226 3242452 6484904 8916743 12969808 17833486 25939616 35666972 51879232 71333944 103758464 142667888 285335776 570671552 1141343104