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14240540000 = 2554799013
BaseRepresentation
bin11010100001100110…
…10110010101100000
31100202110002101102102
431100303112111200
5213131034240000
610313024105532
71012615410221
oct152063262540
940673071372
1014240540000
116048460525
1229151652a8
13145c3bb73b
1499140d248
155852e93d5
hex350cd6560

14240540000 has 120 divisors (see below), whose sum is σ = 35481267360. Its totient is φ = 5623488000.

The previous prime is 14240539997. The next prime is 14240540009. The reversal of 14240540000 is 4504241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240540009) 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, 1575494 + ... + 1584506.

It is an arithmetic number, because the mean of its divisors is an integer number (295677228).

Almost surely, 214240540000 is an apocalyptic number.

14240540000 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 14240540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740633680).

14240540000 is an abundant number, since it is smaller than the sum of its proper divisors (21240727360).

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

14240540000 is an frugal number, since it uses more digits than its factorization.

14240540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 14240540000 in words is "fourteen billion, two hundred forty million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 625 632 790 800 1000 1250 1264 1580 1975 2000 2500 2528 3160 3950 4000 5000 6320 7900 9013 9875 10000 12640 15800 18026 19750 20000 31600 36052 39500 45065 49375 63200 72104 79000 90130 98750 144208 158000 180260 197500 225325 288416 316000 360520 395000 450650 712027 721040 790000 901300 1126625 1424054 1442080 1580000 1802600 2253250 2848108 3560135 3605200 4506500 5633125 5696216 7120270 7210400 9013000 11266250 11392432 14240540 17800675 18026000 22532500 22784864 28481080 35601350 36052000 45065000 56962160 71202700 89003375 90130000 113924320 142405400 178006750 180260000 284810800 356013500 445016875 569621600 712027000 890033750 1424054000 1780067500 2848108000 3560135000 7120270000 14240540000