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4144152012 = 22371113345001
BaseRepresentation
bin1111011100000010…
…1011110111001100
3101200210221201211120
43313000223313030
531441400331022
61523115320540
7204460465560
oct36700536714
911623851746
104144152012
1118372a1820
12977a50150
13510753870
142b45596a0
15193c4bd5c
hexf702bdcc

4144152012 has 96 divisors (see below), whose sum is σ = 12983115264. Its totient is φ = 993600000.

The previous prime is 4144152011. The next prime is 4144152053. The reversal of 4144152012 is 2102514414.

It is not an unprimeable number, because it can be changed into a prime (4144152011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160489 + ... + 184512.

It is an arithmetic number, because the mean of its divisors is an integer number (135240784).

Almost surely, 24144152012 is an apocalyptic number.

4144152012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4144152012 is an abundant number, since it is smaller than the sum of its proper divisors (8838963252).

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

4144152012 is a wasteful number, since it uses less digits than its factorization.

4144152012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345039 (or 345037 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4144152012 is about 64375.0884426577. The cubic root of 4144152012 is about 1606.2453835010.

Adding to 4144152012 its reverse (2102514414), we get a palindrome (6246666426).

The spelling of 4144152012 in words is "four billion, one hundred forty-four million, one hundred fifty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 345001 690002 1035003 1380004 2070006 2415007 3795011 4140012 4485013 4830014 7245021 7590022 8970026 9660028 11385033 13455039 14490042 15180044 17940052 22770066 26565077 26910078 28980084 31395091 45540132 49335143 53130154 53820156 62790182 79695231 94185273 98670286 106260308 125580364 148005429 159390462 188370546 197340572 296010858 318780924 345346001 376741092 592021716 690692002 1036038003 1381384004 2072076006 4144152012