Search a number
-
+
1139444100 = 2232524329443
BaseRepresentation
bin100001111101010…
…1000100110000100
32221102001202110100
41003322220212010
54313144202400
6305022124100
740144054314
oct10372504604
92842052410
101139444100
11535206243
12279720630
131520b14a2
14ab489444
156a078100
hex43ea8984

1139444100 has 108 divisors (see below), whose sum is σ = 3654707056. Its totient is φ = 296775360.

The previous prime is 1139444083. The next prime is 1139444107. The reversal of 1139444100 is 14449311.

1139444100 is a `hidden beast` number, since 113 + 9 + 444 + 100 = 666.

It is not an unprimeable number, because it can be changed into a prime (1139444107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23979 + ... + 53421.

Almost surely, 21139444100 is an apocalyptic number.

1139444100 is a gapful number since it is divisible by the number (10) 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 1139444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827353528).

1139444100 is an abundant number, since it is smaller than the sum of its proper divisors (2515262956).

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

1139444100 is a wasteful number, since it uses less digits than its factorization.

1139444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29506 (or 29496 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1139444100 is about 33755.6528599285. The cubic root of 1139444100 is about 1044.4740987590.

The spelling of 1139444100 in words is "one billion, one hundred thirty-nine million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 387 430 450 516 645 774 860 900 1075 1290 1548 1935 2150 2580 3225 3870 4300 6450 7740 9675 12900 19350 29443 38700 58886 88329 117772 147215 176658 264987 294430 353316 441645 529974 588860 736075 883290 1059948 1266049 1324935 1472150 1766580 2208225 2532098 2649870 2944300 3798147 4416450 5064196 5299740 6330245 6624675 7596294 8832900 11394441 12660490 13249350 15192588 18990735 22788882 25320980 26498700 31651225 37981470 45577764 56972205 63302450 75962940 94953675 113944410 126604900 189907350 227888820 284861025 379814700 569722050 1139444100