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10314340000 = 25541927143
BaseRepresentation
bin10011001101100100…
…00101011010100000
3222121211020202112121
421212302011122200
5132110432340000
64423252034024
7513412305046
oct114662053240
928554222477
1010314340000
1144131a3338
121bba302914
13c84b69383
146dbbca396
154057a0b1a
hex266c856a0

10314340000 has 120 divisors (see below), whose sum is σ = 26711324640. Its totient is φ = 3908448000.

The previous prime is 10314339913. The next prime is 10314340027. The reversal of 10314340000 is 4341301.

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

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, 366429 + ... + 393571.

It is an arithmetic number, because the mean of its divisors is an integer number (222594372).

Almost surely, 210314340000 is an apocalyptic number.

10314340000 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 10314340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355662320).

10314340000 is an abundant number, since it is smaller than the sum of its proper divisors (16396984640).

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

10314340000 is an equidigital number, since it uses as much as digits as its factorization.

10314340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27192 (or 27169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10314340000 its reverse (4341301), we get a palindrome (10318681301).

The spelling of 10314340000 in words is "ten billion, three hundred fourteen million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3800 4000 4750 5000 7600 9500 10000 11875 15200 19000 20000 23750 27143 38000 47500 54286 76000 95000 108572 135715 190000 217144 271430 380000 434288 515717 542860 678575 868576 1031434 1085720 1357150 2062868 2171440 2578585 2714300 3392875 4125736 4342880 5157170 5428600 6785750 8251472 10314340 10857200 12892925 13571500 16502944 16964375 20628680 21714400 25785850 27143000 33928750 41257360 51571700 54286000 64464625 67857500 82514720 103143400 108572000 128929250 135715000 206286800 257858500 271430000 322323125 412573600 515717000 542860000 644646250 1031434000 1289292500 2062868000 2578585000 5157170000 10314340000