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4412146014 = 23229531011579
BaseRepresentation
bin1000001101111110…
…00000000101011110
3102101111020020111100
410012333000011132
533014002133024
62005451333530
7214223423313
oct40677000536
912344206440
104412146014
1119645a5671
12a317512a6
135541265b3
142dbd9ad0a
151ac5377c9
hex106fc015e

4412146014 has 96 divisors (see below), whose sum is σ = 10182088800. Its totient is φ = 1378540800.

The previous prime is 4412146003. The next prime is 4412146019. The reversal of 4412146014 is 4106412144.

4412146014 is a `hidden beast` number, since 4 + 41 + 2 + 14 + 601 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412146019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2793477 + ... + 2795055.

It is an arithmetic number, because the mean of its divisors is an integer number (106063425).

Almost surely, 24412146014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412146014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091044400).

4412146014 is an abundant number, since it is smaller than the sum of its proper divisors (5769942786).

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

4412146014 is a wasteful number, since it uses less digits than its factorization.

4412146014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4412146014 is about 66423.9867367203. The cubic root of 4412146014 is about 1640.1489570730.

Adding to 4412146014 its reverse (4106412144), we get a palindrome (8518558158).

It can be divided in two parts, 4412 and 146014, that added together give a triangular number (150426 = T548).

The spelling of 4412146014 in words is "four billion, four hundred twelve million, one hundred forty-six thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 53 58 87 101 106 159 174 202 261 303 318 477 522 606 909 954 1537 1579 1818 2929 3074 3158 4611 4737 5353 5858 8787 9222 9474 10706 13833 14211 16059 17574 26361 27666 28422 32118 45791 48177 52722 83687 91582 96354 137373 155237 159479 167374 251061 274746 310474 318958 412119 465711 478437 502122 753183 824238 931422 956874 1397133 1435311 1506366 2426923 2794266 2870622 4624891 4853846 7280769 8452387 9249782 13874673 14561538 16904774 21842307 25357161 27749346 41624019 43684614 50714322 76071483 83248038 152142966 245119223 490238446 735357669 1470715338 2206073007 4412146014