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4142114448 = 243251343801
BaseRepresentation
bin1111011011100011…
…1010011010010000
3101200200010012211020
43312320322122100
531440340130243
61523003515440
7204434251263
oct36670723220
911620105736
104142114448
11183612a98a
12977228b80
135101bc2c4
142b4188cda
15193998283
hexf6e3a690

4142114448 has 40 divisors (see below), whose sum is σ = 10743124896. Its totient is φ = 1375200000.

The previous prime is 4142114429. The next prime is 4142114453. The reversal of 4142114448 is 8444112414.

It is a super-2 number, since 2×41421144482 = 34314224200660689408, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 159853 + ... + 183948.

Almost surely, 24142114448 is an apocalyptic number.

4142114448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4142114448 is an abundant number, since it is smaller than the sum of its proper divisors (6601010448).

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

4142114448 is a wasteful number, since it uses less digits than its factorization.

4142114448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344063 (or 344057 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 4142114448 is about 64359.2607788498. The cubic root of 4142114448 is about 1605.9820916549.

The spelling of 4142114448 in words is "four billion, one hundred forty-two million, one hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 251 502 753 1004 1506 2008 3012 4016 6024 12048 343801 687602 1031403 1375204 2062806 2750408 4125612 5500816 8251224 16502448 86294051 172588102 258882153 345176204 517764306 690352408 1035528612 1380704816 2071057224 4142114448