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2453142120 = 23351113592423
BaseRepresentation
bin1001001000110111…
…1111101001101000
320022222000112100120
42102031333221220
520011001021440
61043231203240
7114535235562
oct22215775150
96288015316
102453142120
111049809a90
12585676520
133013042b0
14193b34332
15e5571dd0
hex9237fa68

2453142120 has 256 divisors, whose sum is σ = 8796211200. Its totient is φ = 539427840.

The previous prime is 2453142101. The next prime is 2453142149. The reversal of 2453142120 is 212413542.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011229 + ... + 1013651.

It is an arithmetic number, because the mean of its divisors is an integer number (34360200).

Almost surely, 22453142120 is an apocalyptic number.

2453142120 is a gapful number since it is divisible by the number (20) 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 2453142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398105600).

2453142120 is an abundant number, since it is smaller than the sum of its proper divisors (6343069080).

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

2453142120 is a wasteful number, since it uses less digits than its factorization.

2453142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2453142120 is about 49529.2047180247. The cubic root of 2453142120 is about 1348.6758154164.

Adding to 2453142120 its reverse (212413542), we get a palindrome (2665555662).

The spelling of 2453142120 in words is "two billion, four hundred fifty-three million, one hundred forty-two thousand, one hundred twenty".