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314144278420 = 225713931151907
BaseRepresentation
bin1001001001001000111…
…01010100011110010100
31010000212020212211002211
410210210131110132110
520121331413402140
6400152122043204
731460534210560
oct4444435243624
91100766784084
10314144278420
11111256289aa5
1250a72349504
13238152b531b
14112c18546a0
1582892e12ea
hex4924754794

314144278420 has 96 divisors (see below), whose sum is σ = 761826723840. Its totient is φ = 106585856640.

The previous prime is 314144278397. The next prime is 314144278477. The reversal of 314144278420 is 24872441413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6026107 + ... + 6078013.

It is an arithmetic number, because the mean of its divisors is an integer number (7935695040).

Almost surely, 2314144278420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314144278420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380913361920).

314144278420 is an abundant number, since it is smaller than the sum of its proper divisors (447682445420).

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

314144278420 is a wasteful number, since it uses less digits than its factorization.

314144278420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52373 (or 52371 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 314144278420 in words is "three hundred fourteen billion, one hundred forty-four million, two hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 311 556 622 695 973 1244 1390 1555 1946 2177 2780 3110 3892 4354 4865 6220 8708 9730 10885 19460 21770 43229 43540 51907 86458 103814 172916 207628 216145 259535 302603 363349 432290 519070 605206 726698 864580 1038140 1210412 1453396 1513015 1816745 3026030 3633490 6052060 7215073 7266980 14430146 16143077 28860292 32286154 36075365 50505511 64572308 72150730 80715385 101011022 113001539 144301460 161430770 202022044 226003078 252527555 322861540 452006156 505055110 565007695 1010110220 1130015390 2243887703 2260030780 4487775406 8975550812 11219438515 15707213921 22438877030 31414427842 44877754060 62828855684 78536069605 157072139210 314144278420