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1141121844 = 223415722433
BaseRepresentation
bin100010000000100…
…0010001100110100
32221112012222220000
41010001002030310
54314111344334
6305122111300
740164242562
oct10401021464
92845188800
101141121844
11536151805
1227a1ab530
1315254b035
14ab7a4a32
156a2aa299
hex44042334

1141121844 has 60 divisors (see below), whose sum is σ = 3002252484. Its totient is φ = 377934336.

The previous prime is 1141121843. The next prime is 1141121879. The reversal of 1141121844 is 4481211411.

It can be written as a sum of positive squares in 2 ways, for example, as 719312400 + 421809444 = 26820^2 + 20538^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141121843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39652 + ... + 62084.

Almost surely, 21141121844 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 1141121844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501126242).

1141121844 is an abundant number, since it is smaller than the sum of its proper divisors (1861130640).

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

1141121844 is a wasteful number, since it uses less digits than its factorization.

1141121844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22606 (or 22595 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 1141121844 is about 33780.4950230159. The cubic root of 1141121844 is about 1044.9864833458.

The spelling of 1141121844 in words is "one billion, one hundred forty-one million, one hundred twenty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 2826 4239 5652 8478 12717 16956 22433 25434 44866 50868 67299 89732 134598 201897 269196 403794 605691 807588 1211382 1817073 2422764 3521981 3634146 7043962 7268292 10565943 14087924 21131886 31697829 42263772 63395658 95093487 126791316 190186974 285280461 380373948 570560922 1141121844