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14024000000 = 29561753
BaseRepresentation
bin11010000111110010…
…10100001000000000
31100012100122000101102
431003321110020000
5212210121000000
610235330553532
71004346014243
oct150371241000
940170560342
1014024000000
115a4720084a
1228747388a8
131426592b6a
1497076325a
155712c43d5
hex343e54200

14024000000 has 140 divisors (see below), whose sum is σ = 35045293602. Its totient is φ = 5606400000.

The previous prime is 14023999961. The next prime is 14024000041. The reversal of 14024000000 is 42041.

It can be written as a sum of positive squares in 7 ways, for example, as 11433597184 + 2590402816 = 106928^2 + 50896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999124 + ... + 8000876.

Almost surely, 214024000000 is an apocalyptic number.

14024000000 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 14024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522646801).

14024000000 is an abundant number, since it is smaller than the sum of its proper divisors (21021293602).

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

14024000000 is an frugal number, since it uses more digits than its factorization.

14024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 14024000000 its reverse (42041), we get a palindrome (14024042041).

The spelling of 14024000000 in words is "fourteen billion, twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 1753 2000 2500 2560 3125 3200 3506 4000 5000 6250 6400 7012 8000 8765 10000 12500 12800 14024 15625 16000 17530 20000 25000 28048 31250 32000 35060 40000 43825 50000 56096 62500 64000 70120 80000 87650 100000 112192 125000 140240 160000 175300 200000 219125 224384 250000 280480 320000 350600 400000 438250 448768 500000 560960 701200 800000 876500 897536 1000000 1095625 1121920 1402400 1600000 1753000 2000000 2191250 2243840 2804800 3506000 4000000 4382500 4487680 5478125 5609600 7012000 8000000 8765000 10956250 11219200 14024000 17530000 21912500 22438400 27390625 28048000 35060000 43825000 54781250 56096000 70120000 87650000 109562500 112192000 140240000 175300000 219125000 280480000 350600000 438250000 560960000 701200000 876500000 1402400000 1753000000 2804800000 3506000000 7012000000 14024000000