Base | Representation |
---|---|
bin | 100010001010000… |
… | …1110010000001000 |
3 | 2221212200112220000 |
4 | 1010110032100020 |
5 | 4321403330234 |
6 | 305422003000 |
7 | 40255062600 |
oct | 10424162010 |
9 | 2855615800 |
10 | 1146151944 |
11 | 538a77a13 |
12 | 27ba16460 |
13 | 1535bc722 |
14 | ac313c00 |
15 | 6a950899 |
hex | 4450e408 |
1146151944 has 120 divisors (see below), whose sum is σ = 3734518590. Its totient is φ = 327462912.
The previous prime is 1146151913. The next prime is 1146151969. The reversal of 1146151944 is 4491516411.
1146151944 is a `hidden beast` number, since 1 + 1 + 461 + 5 + 194 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1098127044 + 48024900 = 33138^2 + 6930^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1146151899 and 1146151908.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13704 + ... + 49800.
Almost surely, 21146151944 is an apocalyptic number.
1146151944 is a gapful number since it is divisible by the number (14) 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 1146151944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867259295).
1146151944 is an abundant number, since it is smaller than the sum of its proper divisors (2588366646).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1146151944 is a wasteful number, since it uses less digits than its factorization.
1146151944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36129 (or 36109 counting only the distinct ones).
The product of its digits is 17280, while the sum is 36.
The square root of 1146151944 is about 33854.8658836511. The cubic root of 1146151944 is about 1046.5196768894.
The spelling of 1146151944 in words is "one billion, one hundred forty-six million, one hundred fifty-one thousand, nine hundred forty-four".
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