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14440046500 = 22531117154439
BaseRepresentation
bin11010111001011000…
…11001111110100100
31101021100111100220001
431130230121332210
5214033122442000
610344512151044
71020560240635
oct153454317644
941240440801
1014440046500
116140036730
12296bb38484
131491832219
149adb0388c
15597aa746a
hex35cb19fa4

14440046500 has 96 divisors (see below), whose sum is σ = 36428071680. Its totient is φ = 4942016000.

The previous prime is 14440046479. The next prime is 14440046501. The reversal of 14440046500 is 564004441.

It is not an unprimeable number, because it can be changed into a prime (14440046501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16281 + ... + 170719.

It is an arithmetic number, because the mean of its divisors is an integer number (379459080).

Almost surely, 214440046500 is an apocalyptic number.

14440046500 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 14440046500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214035840).

14440046500 is an abundant number, since it is smaller than the sum of its proper divisors (21988025180).

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

14440046500 is a wasteful number, since it uses less digits than its factorization.

14440046500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154486 (or 154474 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 14440046500 in words is "fourteen billion, four hundred forty million, forty-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 125 170 187 220 250 275 340 374 425 500 550 748 850 935 1100 1375 1700 1870 2125 2750 3740 4250 4675 5500 8500 9350 18700 23375 46750 93500 154439 308878 617756 772195 1544390 1698829 2625463 3088780 3397658 3860975 5250926 6795316 7721950 8494145 10501852 13127315 15443900 16988290 19304875 26254630 28880093 33976580 38609750 42470725 52509260 57760186 65636575 77219500 84941450 115520372 131273150 144400465 169882900 212353625 262546300 288800930 328182875 424707250 577601860 656365750 722002325 849414500 1312731500 1444004650 2888009300 3610011625 7220023250 14440046500