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14003440000 = 27541115913
BaseRepresentation
bin11010000101010101…
…11000100110000000
31100010220221110100221
431002222320212000
5212134340040000
610233314152424
71004006163454
oct150252704600
940126843327
1014003440000
115a36638810
122869882714
131422244894
1496bb30664
1556e5b261a
hex342ab8980

14003440000 has 160 divisors (see below), whose sum is σ = 38032232040. Its totient is φ = 5091840000.

The previous prime is 14003439959. The next prime is 14003440013. The reversal of 14003440000 is 4430041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 872044 + ... + 887956.

Almost surely, 214003440000 is an apocalyptic number.

14003440000 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 14003440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016116020).

14003440000 is an abundant number, since it is smaller than the sum of its proper divisors (24028792040).

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

14003440000 is an equidigital number, since it uses as much as digits as its factorization.

14003440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15958 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14003440000 its reverse (4430041), we get a palindrome (14007870041).

The spelling of 14003440000 in words is "fourteen billion, three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 15913 16000 17600 20000 22000 27500 31826 35200 40000 44000 55000 63652 79565 80000 88000 110000 127304 159130 175043 176000 220000 254608 318260 350086 397825 440000 509216 636520 700172 795650 875215 880000 1018432 1273040 1400344 1591300 1750430 1989125 2036864 2546080 2800688 3182600 3500860 3978250 4376075 5092160 5601376 6365200 7001720 7956500 8752150 9945625 10184320 11202752 12730400 14003440 15913000 17504300 19891250 21880375 22405504 25460800 28006880 31826000 35008600 39782500 43760750 50921600 56013760 63652000 70017200 79565000 87521500 109401875 112027520 127304000 140034400 159130000 175043000 218803750 254608000 280068800 318260000 350086000 437607500 560137600 636520000 700172000 875215000 1273040000 1400344000 1750430000 2800688000 3500860000 7001720000 14003440000