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1132443035984 = 241389229267133
BaseRepresentation
bin10000011110101010110…
…111010110100101010000
311000021000220100202110002
4100132222313112211100
5122023220404122414
62224123120225132
7144546664661201
oct20365267264520
94007026322402
101132443035984
113a72a2631127
12163584a6b1a8
1382a343466a0
143cb4c1755a8
151e6cdd024de
hex107aadd6950

1132443035984 has 80 divisors (see below), whose sum is σ = 2399878429200. Its totient is φ = 514534699008.

The previous prime is 1132443035963. The next prime is 1132443036001. The reversal of 1132443035984 is 4895303442311.

It can be written as a sum of positive squares in 8 ways, for example, as 2984218384 + 1129458817600 = 54628^2 + 1062760^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4105682 + ... + 4372814.

It is an arithmetic number, because the mean of its divisors is an integer number (29998480365).

Almost surely, 21132443035984 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 1132443035984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199939214600).

1132443035984 is an abundant number, since it is smaller than the sum of its proper divisors (1267435393216).

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

1132443035984 is a wasteful number, since it uses less digits than its factorization.

1132443035984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267472 (or 267466 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 1132443035984 in words is "one trillion, one hundred thirty-two billion, four hundred forty-three million, thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 229 356 458 712 916 1157 1424 1832 2314 2977 3664 4628 5954 9256 11908 18512 20381 23816 40762 47632 81524 163048 264953 267133 326096 529906 534266 1059812 1068532 2119624 2137064 3472729 4239248 4274128 6945458 13890916 23774837 27781832 47549674 55563664 61173457 95099348 122346914 190198696 244693828 309072881 380397392 489387656 618145762 795254941 978775312 1236291524 1590509882 2472583048 3181019764 4945166096 5444437673 6362039528 10888875346 12724079056 21777750692 43555501384 70777689749 87111002768 141555379498 283110758996 566221517992 1132443035984