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2144130252 = 22311311134637
BaseRepresentation
bin111111111001100…
…1101010011001100
312112102120002202120
41333303031103030
513342344132002
6552432052540
7104063543415
oct17763152314
95472502676
102144130252
11a0033a880
124ba094150
1328229c634
14164a9680c
15c8382cbc
hex7fccd4cc

2144130252 has 96 divisors (see below), whose sum is σ = 5684926464. Its totient is φ = 623078400.

The previous prime is 2144130203. The next prime is 2144130277. The reversal of 2144130252 is 2520314412.

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 31 ways as a sum of consecutive naturals, for example, 460078 + ... + 464714.

It is an arithmetic number, because the mean of its divisors is an integer number (59217984).

Almost surely, 22144130252 is an apocalyptic number.

2144130252 is a gapful number since it is divisible by the number (22) 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 2144130252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842463232).

2144130252 is an abundant number, since it is smaller than the sum of its proper divisors (3540796212).

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

2144130252 is a wasteful number, since it uses less digits than its factorization.

2144130252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4797 counting only the distinct ones).

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

The square root of 2144130252 is about 46304.7540971767. The cubic root of 2144130252 is about 1289.4872573147.

Adding to 2144130252 its reverse (2520314412), we get a palindrome (4664444664).

The spelling of 2144130252 in words is "two billion, one hundred forty-four million, one hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 113 124 132 186 226 339 341 372 452 678 682 1023 1243 1356 1364 2046 2486 3503 3729 4092 4637 4972 7006 7458 9274 10509 13911 14012 14916 18548 21018 27822 38533 42036 51007 55644 77066 102014 115599 143747 153021 154132 204028 231198 287494 306042 431241 462396 523981 574988 612084 862482 1047962 1571943 1581217 1724964 2095924 3143886 3162434 4743651 5763791 6287772 6324868 9487302 11527582 16243411 17291373 18974604 23055164 32486822 34582746 48730233 64973644 69165492 97460466 178677521 194920932 357355042 536032563 714710084 1072065126 2144130252