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14107704048 = 24321749911549
BaseRepresentation
bin11010010001110001…
…00111101011110000
31100102012010121202100
431020320213223300
5212343033012143
610251521020400
71006413335334
oct151070475360
940365117670
1014107704048
115a8a481949
122898784700
13143aa1c199
1497b9117c4
1557880a6d3
hex348e27af0

14107704048 has 120 divisors (see below), whose sum is σ = 41891850000. Its totient is φ = 4416694272.

The previous prime is 14107704029. The next prime is 14107704059. The reversal of 14107704048 is 84040770141.

14107704048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1215778 + ... + 1227326.

It is an arithmetic number, because the mean of its divisors is an integer number (349098750).

Almost surely, 214107704048 is an apocalyptic number.

14107704048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14107704048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20945925000).

14107704048 is an abundant number, since it is smaller than the sum of its proper divisors (27784145952).

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

14107704048 is a wasteful number, since it uses less digits than its factorization.

14107704048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 14107704048 in words is "fourteen billion, one hundred seven million, seven hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 499 612 816 998 1224 1497 1996 2448 2994 3992 4491 5988 7984 8483 8982 11549 11976 16966 17964 23098 23952 25449 33932 34647 35928 46196 50898 67864 69294 71856 76347 92392 101796 103941 135728 138588 152694 184784 196333 203592 207882 277176 305388 392666 407184 415764 554352 588999 610776 785332 831528 1177998 1221552 1570664 1663056 1766997 2355996 3141328 3533994 4711992 5762951 7067988 9423984 11525902 14135976 17288853 23051804 28271952 34577706 46103608 51866559 69155412 92207216 97970167 103733118 138310824 195940334 207466236 276621648 293910501 391880668 414932472 587821002 783761336 829864944 881731503 1175642004 1567522672 1763463006 2351284008 3526926012 4702568016 7053852024 14107704048