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14241602648 = 23721313720399
BaseRepresentation
bin11010100001101110…
…11001110001011000
31100202112002101002202
431100313121301120
5213131322241043
610313102545332
71012630424300
oct152067316130
940675071082
1014241602648
116049016949
122915598248
13145c6a1320
14991608600
155854591b8
hex350dd9c58

14241602648 has 96 divisors (see below), whose sum is σ = 33697944000. Its totient is φ = 5592642048.

The previous prime is 14241602597. The next prime is 14241602707. The reversal of 14241602648 is 84620614241.

14241602648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142416026482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687953 + ... + 708351.

It is an arithmetic number, because the mean of its divisors is an integer number (351020250).

Almost surely, 214241602648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241602648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848972000).

14241602648 is an abundant number, since it is smaller than the sum of its proper divisors (19456341352).

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

14241602648 is a wasteful number, since it uses less digits than its factorization.

14241602648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20569 (or 20558 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 14241602648 in words is "fourteen billion, two hundred forty-one million, six hundred two thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 137 182 196 274 364 392 548 637 728 959 1096 1274 1781 1918 2548 3562 3836 5096 6713 7124 7672 12467 13426 14248 20399 24934 26852 40798 49868 53704 81596 87269 99736 142793 163192 174538 265187 285586 349076 530374 571172 698152 999551 1060748 1142344 1856309 1999102 2121496 2794663 3712618 3998204 5589326 7425236 7996408 11178652 12994163 14850472 19562641 22357304 25988326 36330619 39125282 51976652 72661238 78250564 103953304 136938487 145322476 156501128 254314333 273876974 290644952 508628666 547753948 1017257332 1095507896 1780200331 2034514664 3560400662 7120801324 14241602648