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14235340000 = 25547101681
BaseRepresentation
bin11010100000111111…
…00000110011100000
31100202002022012100211
431100133200303200
5213123221340000
610312320423504
71012523251660
oct152037406340
940662265324
1014235340000
116045529702
122913477b94
13145b2ba90b
149908581a0
15584b1d7ba
hex3507e0ce0

14235340000 has 120 divisors (see below), whose sum is σ = 40024475568. Its totient is φ = 4880640000.

The previous prime is 14235339977. The next prime is 14235340057. The reversal of 14235340000 is 4353241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89160 + ... + 190840.

Almost surely, 214235340000 is an apocalyptic number.

14235340000 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 14235340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20012237784).

14235340000 is an abundant number, since it is smaller than the sum of its proper divisors (25789135568).

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

14235340000 is an equidigital number, since it uses as much as digits as its factorization.

14235340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101718 (or 101695 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 14235340000 its reverse (4353241), we get a palindrome (14239693241).

It can be divided in two parts, 14 and 235340000, that multiplied together give a square (3294760000 = 574002).

The spelling of 14235340000 in words is "fourteen billion, two hundred thirty-five million, three hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 101681 140000 203362 406724 508405 711767 813448 1016810 1423534 1626896 2033620 2542025 2847068 3253792 3558835 4067240 5084050 5694136 7117670 8134480 10168100 11388272 12710125 14235340 16268960 17794175 20336200 22776544 25420250 28470680 35588350 40672400 50840500 56941360 63550625 71176700 81344800 88970875 101681000 113882720 127101250 142353400 177941750 203362000 254202500 284706800 355883500 406724000 444854375 508405000 569413600 711767000 889708750 1016810000 1423534000 1779417500 2033620000 2847068000 3558835000 7117670000 14235340000