Search a number
-
+
121434144 = 2531397303
BaseRepresentation
bin1110011110011…
…11000000100000
322110111111022220
413033033000200
5222041343034
620014431040
73003113256
oct717170040
9273444286
10121434144
11626012a7
1234802480
131c209930
14121b05d6
15a9da749
hex73cf020

121434144 has 48 divisors (see below), whose sum is σ = 343288512. Its totient is φ = 37363968.

The previous prime is 121434109. The next prime is 121434151. The reversal of 121434144 is 441434121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47404 + ... + 49899.

It is an arithmetic number, because the mean of its divisors is an integer number (7151844).

Almost surely, 2121434144 is an apocalyptic number.

It is an amenable number.

121434144 is an abundant number, since it is smaller than the sum of its proper divisors (221854368).

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

121434144 is a wasteful number, since it uses less digits than its factorization.

121434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97329 (or 97321 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 121434144 is about 11019.7161487944. The cubic root of 121434144 is about 495.1995848565.

Adding to 121434144 its reverse (441434121), we get a palindrome (562868265).

The spelling of 121434144 in words is "one hundred twenty-one million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 97303 194606 291909 389212 583818 778424 1167636 1264939 1556848 2335272 2529878 3113696 3794817 4670544 5059756 7589634 9341088 10119512 15179268 20239024 30358536 40478048 60717072 121434144