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14330040000 = 26354119417
BaseRepresentation
bin11010101100010001…
…10000111011000000
31100222200111110100020
431112020300323000
5213321442240000
610325542253440
71015053221163
oct152610607300
940880443306
1014330040000
116093a30171
12293b127280
131474ac6c13
1499d269ada
1558d0c7ba0
hex356230ec0

14330040000 has 140 divisors (see below), whose sum is σ = 47378852664. Its totient is φ = 3821312000.

The previous prime is 14330039981. The next prime is 14330040001. The reversal of 14330040000 is 4003341.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (14330040001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60292 + ... + 179708.

Almost surely, 214330040000 is an apocalyptic number.

14330040000 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 14330040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23689426332).

14330040000 is an abundant number, since it is smaller than the sum of its proper divisors (33048812664).

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

14330040000 is an equidigital number, since it uses as much as digits as its factorization.

14330040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119452 (or 119427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 14330040000 its reverse (4003341), we get a palindrome (14334043341).

The spelling of 14330040000 in words is "fourteen billion, three hundred thirty million, 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 119417 120000 238834 358251 477668 597085 716502 955336 1194170 1433004 1791255 1910672 2388340 2866008 2985425 3582510 3821344 4776680 5732016 5970850 7165020 7642688 8956275 9553360 11464032 11941700 14330040 14927125 17912550 19106720 22928064 23883400 28660080 29854250 35825100 38213440 44781375 47766800 57320160 59708500 71650200 74635625 89562750 95533600 114640320 119417000 143300400 149271250 179125500 191067200 223906875 238834000 286600800 298542500 358251000 447813750 477668000 573201600 597085000 716502000 895627500 955336000 1194170000 1433004000 1791255000 2388340000 2866008000 3582510000 4776680000 7165020000 14330040000