Search a number
-
+
3141544500 = 22345377569
BaseRepresentation
bin1011101101000000…
…0010101000110100
322002221100222220000
42323100002220310
522413213411000
61235422111300
7140564454603
oct27320025064
98087328800
103141544500
111372357976
1273811b530
133b0b12893
1421b32da3a
15135c03000
hexbb402a34

3141544500 has 120 divisors (see below), whose sum is σ = 10249479240. Its totient is φ = 837734400.

The previous prime is 3141544463. The next prime is 3141544513. The reversal of 3141544500 is 54451413.

It is a happy number.

3141544500 is a `hidden beast` number, since 3 + 1 + 4 + 154 + 4 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168896016 + 2972648484 = 12996^2 + 54522^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1716 + ... + 79284.

It is an arithmetic number, because the mean of its divisors is an integer number (85412327).

Almost surely, 23141544500 is an apocalyptic number.

3141544500 is a gapful number since it is divisible by the number (30) 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 3141544500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124739620).

3141544500 is an abundant number, since it is smaller than the sum of its proper divisors (7107934740).

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

3141544500 is a wasteful number, since it uses less digits than its factorization.

3141544500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77600 (or 77579 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3141544500 is about 56049.4826024291. The cubic root of 3141544500 is about 1464.5844045505.

Adding to 3141544500 its reverse (54451413), we get a palindrome (3195995913).

The spelling of 3141544500 in words is "three billion, one hundred forty-one million, five hundred forty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 375 405 450 500 540 675 750 810 900 1125 1350 1500 1620 2025 2250 2700 3375 4050 4500 6750 8100 10125 13500 20250 40500 77569 155138 232707 310276 387845 465414 698121 775690 930828 1163535 1396242 1551380 1939225 2094363 2327070 2792484 3490605 3878450 4188726 4654140 5817675 6283089 6981210 7756900 8377452 9696125 10471815 11635350 12566178 13962420 17453025 19392250 20943630 23270700 25132356 29088375 31415445 34906050 38784500 41887260 52359075 58176750 62830890 69812100 87265125 104718150 116353500 125661780 157077225 174530250 209436300 261795375 314154450 349060500 523590750 628308900 785386125 1047181500 1570772250 3141544500