Search a number
-
+
15438840000 = 26354128657
BaseRepresentation
bin11100110000011101…
…00000000011000000
31110211221220022222220
432120032200003000
5223104320340000
611031551531040
71054405655223
oct163016400300
943757808886
1015438840000
116602906001
122baa529a80
1315c07391ac
14a666195ba
156055eb1a0
hex3983a00c0

15438840000 has 140 divisors (see below), whose sum is σ = 51044804184. Its totient is φ = 4116992000.

The previous prime is 15438839989. The next prime is 15438840029. The reversal of 15438840000 is 4883451.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55672 + ... + 184328.

Almost surely, 215438840000 is an apocalyptic number.

15438840000 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 15438840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25522402092).

15438840000 is an abundant number, since it is smaller than the sum of its proper divisors (35605964184).

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

15438840000 is an equidigital number, since it uses as much as digits as its factorization.

15438840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128692 (or 128667 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 15438840000 in words is "fifteen billion, four hundred thirty-eight million, eight hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 128657 257314 385971 514628 643285 771942 1029256 1286570 1543884 1929855 2058512 2573140 3087768 3216425 3859710 4117024 5146280 6175536 6432850 7719420 8234048 9649275 10292560 12351072 12865700 15438840 16082125 19298550 20585120 24702144 25731400 30877680 32164250 38597100 41170240 48246375 51462800 61755360 64328500 77194200 80410625 96492750 102925600 123510720 128657000 154388400 160821250 192985500 205851200 241231875 257314000 308776800 321642500 385971000 482463750 514628000 617553600 643285000 771942000 964927500 1029256000 1286570000 1543884000 1929855000 2573140000 3087768000 3859710000 5146280000 7719420000 15438840000