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4144014342 = 232131931107281
BaseRepresentation
bin1111011100000000…
…1010010000000110
3101200210200201222200
43313000022100012
531441331424332
61523112335330
7204456353316
oct36700122006
911623621880
104144014342
111837208346
129779a4546
13510705cc0
142b4521446
15193c2117c
hexf700a406

4144014342 has 192 divisors, whose sum is σ = 10642544640. Its totient is φ = 1153958400.

The previous prime is 4144014341. The next prime is 4144014377. The reversal of 4144014342 is 2434104414.

4144014342 is a `hidden beast` number, since 41 + 440 + 143 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144014341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14747242 + ... + 14747522.

It is an arithmetic number, because the mean of its divisors is an integer number (55429920).

Almost surely, 24144014342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144014342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321272320).

4144014342 is an abundant number, since it is smaller than the sum of its proper divisors (6498530298).

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

4144014342 is a wasteful number, since it uses less digits than its factorization.

4144014342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4144014342 is about 64374.0191536927. The cubic root of 4144014342 is about 1606.2275966494.

Adding to 4144014342 its reverse (2434104414), we get a palindrome (6578118756).

The spelling of 4144014342 in words is "four billion, one hundred forty-four million, fourteen thousand, three hundred forty-two".