Search a number
-
+
2125120144 = 247236431283
BaseRepresentation
bin111111010101010…
…1100001010010000
312111002210021210111
41332222230022100
513323012321034
6550512411104
7103443136360
oct17652541220
95432707714
102125120144
119a0636244
124b3846a94
1327b374954
141623489a0
15c687a364
hex7eaac290

2125120144 has 80 divisors (see below), whose sum is σ = 4921684992. Its totient is φ = 869134464.

The previous prime is 2125120117. The next prime is 2125120147. The reversal of 2125120144 is 4410215212.

It is a super-2 number, since 2×21251201442 = 9032271252869161472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2125120147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655727 + ... + 1657009.

Almost surely, 22125120144 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 2125120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460842496).

2125120144 is an abundant number, since it is smaller than the sum of its proper divisors (2796564848).

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

2125120144 is a wasteful number, since it uses less digits than its factorization.

2125120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2125120144 is about 46099.0254126918. The cubic root of 2125120144 is about 1285.6650242102.

Adding to 2125120144 its reverse (4410215212), we get a palindrome (6535335356).

The spelling of 2125120144 in words is "two billion, one hundred twenty-five million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 643 644 1283 1286 1288 2566 2572 2576 4501 5132 5144 8981 9002 10264 10288 14789 17962 18004 20528 29509 29578 35924 36008 59018 59156 71848 72016 103523 118036 118312 143696 206563 207046 236072 236624 413126 414092 472144 824969 826252 828184 1649938 1652504 1656368 3299876 3305008 5774783 6599752 11549566 13199504 18974287 23099132 37948574 46198264 75897148 92396528 132820009 151794296 265640018 303588592 531280036 1062560072 2125120144