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2130142144 = 261314917183
BaseRepresentation
bin111111011110111…
…0110001111000000
312111110020102200111
41332331312033000
513330304022034
6551212201104
7103533623644
oct17675661700
95443212614
102130142144
119a3456359
124b5469194
1327c412750
14162c94c24
15c701d364
hex7ef763c0

2130142144 has 56 divisors (see below), whose sum is σ = 4582972800. Its totient is φ = 976487424.

The previous prime is 2130142111. The next prime is 2130142163. The reversal of 2130142144 is 4412410312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115377 + ... + 132559.

It is an arithmetic number, because the mean of its divisors is an integer number (81838800).

Almost surely, 22130142144 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 2130142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291486400).

2130142144 is an abundant number, since it is smaller than the sum of its proper divisors (2452830656).

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

2130142144 is a wasteful number, since it uses less digits than its factorization.

2130142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17357 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2130142144 is about 46153.4629686657. The cubic root of 2130142144 is about 1286.6769717676.

Adding to 2130142144 its reverse (4412410312), we get a palindrome (6542552456).

The spelling of 2130142144 in words is "two billion, one hundred thirty million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 149 208 298 416 596 832 1192 1937 2384 3874 4768 7748 9536 15496 17183 30992 34366 61984 68732 123968 137464 223379 274928 446758 549856 893516 1099712 1787032 2560267 3574064 5120534 7148128 10241068 14296256 20482136 33283471 40964272 66566942 81928544 133133884 163857088 266267768 532535536 1065071072 2130142144