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4014452106 = 232734115859
BaseRepresentation
bin1110111101000111…
…1010110110001010
3101100202220022000100
43233101322312022
531210144431411
61502203350230
7201324165000
oct35721726612
911322808010
104014452106
111780065315
12940522376
134bc911862
142a1236a70
1518767c456
hexef47ad8a

4014452106 has 96 divisors (see below), whose sum is σ = 10391472000. Its totient is φ = 1118940480.

The previous prime is 4014452081. The next prime is 4014452129. The reversal of 4014452106 is 6012544104.

4014452106 is a `hidden beast` number, since 4 + 0 + 1 + 445 + 210 + 6 = 666.

It is a super-2 number, since 2×40144521062 = 32231651422735670472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014452106.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 245205 + ... + 261063.

It is an arithmetic number, because the mean of its divisors is an integer number (108244500).

Almost surely, 24014452106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014452106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195736000).

4014452106 is an abundant number, since it is smaller than the sum of its proper divisors (6377019894).

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

4014452106 is a wasteful number, since it uses less digits than its factorization.

4014452106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15929 (or 15912 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4014452106 is about 63359.7041186273. The cubic root of 4014452106 is about 1589.3105281708.

The spelling of 4014452106 in words is "four billion, fourteen million, four hundred fifty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 343 369 441 574 686 738 861 882 1029 1722 2009 2058 2583 3087 4018 5166 6027 6174 12054 14063 15859 18081 28126 31718 36162 42189 47577 84378 95154 111013 126567 142731 222026 253134 285462 333039 650219 666078 777091 999117 1300438 1554182 1950657 1998234 2331273 3901314 4551533 4662546 5439637 5851971 6993819 9103066 10879274 11703942 13654599 13987638 16318911 27309198 31860731 32637822 40963797 48956733 63721462 81927594 95582193 97913466 191164386 223025117 286746579 446050234 573493158 669075351 1338150702 2007226053 4014452106