Search a number
-
+
4121344544 = 251710637127
BaseRepresentation
bin1111010110100110…
…1011101000100000
3101122020000222212112
43311221223220200
531420031011134
61520542414452
7204062564522
oct36551535040
911566028775
104121344544
111825434179
12970291428
13508ac9615
142b14dda12
15191c441ce
hexf5a6ba20

4121344544 has 48 divisors (see below), whose sum is σ = 8600473728. Its totient is φ = 1937359872.

The previous prime is 4121344537. The next prime is 4121344547. The reversal of 4121344544 is 4454431214.

4121344544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4121344544.

It is not an unprimeable number, because it can be changed into a prime (4121344547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574709 + ... + 581835.

It is an arithmetic number, because the mean of its divisors is an integer number (179176536).

Almost surely, 24121344544 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 4121344544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300236864).

4121344544 is an abundant number, since it is smaller than the sum of its proper divisors (4479129184).

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

4121344544 is a wasteful number, since it uses less digits than its factorization.

4121344544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8217 (or 8209 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 4121344544 is about 64197.6988995712. The cubic root of 4121344544 is about 1603.2932875931.

Adding to 4121344544 its reverse (4454431214), we get a palindrome (8575775758).

The spelling of 4121344544 in words is "four billion, one hundred twenty-one million, three hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1063 2126 4252 7127 8504 14254 17008 18071 28508 34016 36142 57016 72284 114032 121159 144568 228064 242318 289136 484636 578272 969272 1938544 3877088 7576001 15152002 30304004 60608008 121216016 128792017 242432032 257584034 515168068 1030336136 2060672272 4121344544