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144514200123314 = 27192337638409479
BaseRepresentation
bin100000110110111101010101…
…100100000011011110110010
3200221200102102002011221220222
4200312331111210003132302
5122420210040212421224
61231204523530133042
742303543412160150
oct4066752544033662
9627612362157828
10144514200123314
114205714554610a
121425b9a1281182
136283827564218
14279874b73c3d0
1511a922ca8db5e
hex836f559037b2

144514200123314 has 64 divisors (see below), whose sum is σ = 279470133964800. Its totient is φ = 54606993110208.

The previous prime is 144514200123259. The next prime is 144514200123343. The reversal of 144514200123314 is 413321002415441.

144514200123314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318978374 + ... + 319431105.

It is an arithmetic number, because the mean of its divisors is an integer number (4366720843200).

Almost surely, 2144514200123314 is an apocalyptic number.

144514200123314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144514200123314 is a deficient number, since it is larger than the sum of its proper divisors (134955933841486).

144514200123314 is a wasteful number, since it uses less digits than its factorization.

144514200123314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638409567.

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 144514200123314 its reverse (413321002415441), we get a palindrome (557835202538755).

The spelling of 144514200123314 in words is "one hundred forty-four trillion, five hundred fourteen billion, two hundred million, one hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 7 14 19 23 37 38 46 74 133 161 259 266 322 437 518 703 851 874 1406 1702 3059 4921 5957 6118 9842 11914 16169 32338 113183 226366 638409479 1276818958 4468866353 8937732706 12129780101 14683418017 23621150723 24259560202 29366836034 47242301446 84908460707 102783926119 165348055061 169816921414 205567852238 278984942323 330696110122 448801863737 543286466629 557969884646 897603727474 1086572933258 1952894596261 3141613046159 3803005266403 3905789192522 6283226092318 7606010532806 10322442865951 20644885731902 72257100061657 144514200123314