Search a number
-
+
14732446740 = 22351126982981
BaseRepresentation
bin11011011100001111…
…10100110000010100
31102000201200211121120
431232013310300110
5220133001243430
610433515243540
71031040505524
oct155607646024
942021624546
1014732446740
11628009a320
122a31a495b0
13150a29bb0b
149da899684
155b35b4610
hex36e1f4c14

14732446740 has 96 divisors (see below), whose sum is σ = 45168762240. Its totient is φ = 3558182400.

The previous prime is 14732446723. The next prime is 14732446783. The reversal of 14732446740 is 4764423741.

14732446740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14732446692 and 14732446701.

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 31 ways as a sum of consecutive naturals, for example, 136050 + ... + 219030.

It is an arithmetic number, because the mean of its divisors is an integer number (470507940).

Almost surely, 214732446740 is an apocalyptic number.

14732446740 is a gapful number since it is divisible by the number (10) 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 14732446740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22584381120).

14732446740 is an abundant number, since it is smaller than the sum of its proper divisors (30436315500).

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

14732446740 is a wasteful number, since it uses less digits than its factorization.

14732446740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83273 (or 83271 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 14732446740 in words is "fourteen billion, seven hundred thirty-two million, four hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 269 330 538 660 807 1076 1345 1614 2690 2959 3228 4035 5380 5918 8070 8877 11836 14795 16140 17754 29590 35508 44385 59180 82981 88770 165962 177540 248943 331924 414905 497886 829810 912791 995772 1244715 1659620 1825582 2489430 2738373 3651164 4563955 4978860 5476746 9127910 10953492 13691865 18255820 22321889 27383730 44643778 54767460 66965667 89287556 111609445 133931334 223218890 245540779 267862668 334828335 446437780 491081558 669656670 736622337 982163116 1227703895 1339313340 1473244674 2455407790 2946489348 3683111685 4910815580 7366223370 14732446740