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14005144224 = 2532471034659
BaseRepresentation
bin11010000101100010…
…11000101010100000
31100011001011001010100
431002301120222200
5212140304103344
610233414502400
71004026522161
oct150261305240
940131131110
1014005144224
115a375a2165
12286a364a00
1314226c04b6
1496c055768
1556e7ec569
hex342c58aa0

14005144224 has 72 divisors (see below), whose sum is σ = 40674553920. Its totient is φ = 4569049728.

The previous prime is 14005144217. The next prime is 14005144273. The reversal of 14005144224 is 42244150041.

14005144224 is a `hidden beast` number, since 140 + 0 + 514 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×140051442242 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 503794 + ... + 530865.

It is an arithmetic number, because the mean of its divisors is an integer number (564924360).

Almost surely, 214005144224 is an apocalyptic number.

It is an amenable number.

14005144224 is an abundant number, since it is smaller than the sum of its proper divisors (26669409696).

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

14005144224 is a wasteful number, since it uses less digits than its factorization.

14005144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034722 (or 1034711 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14005144224 its reverse (42244150041), we get a palindrome (56249294265).

The spelling of 14005144224 in words is "fourteen billion, five million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 1034659 2069318 3103977 4138636 6207954 8277272 9311931 12415908 16554544 18623862 24831816 33109088 37247724 48628973 49663632 74495448 97257946 99327264 145886919 148990896 194515892 291773838 297981792 389031784 437660757 583547676 778063568 875321514 1167095352 1556127136 1750643028 2334190704 3501286056 4668381408 7002572112 14005144224