Search a number
-
+
14314324140100 = 2252257556977593
BaseRepresentation
bin1101000001001101000000…
…1101001010000001000100
31212200102202212020200201001
43100103100031022001010
53334011213434440400
650235524300143044
73005114203432345
oct320232015120104
955612685220631
1014314324140100
1146197418923a6
121732266237a84
137caab15921aa
14376b61b420cc
1519c535dbba6a
hexd04d034a044

14314324140100 has 36 divisors (see below), whose sum is σ = 31182947577684. Its totient is φ = 5703450542080.

The previous prime is 14314324140073. The next prime is 14314324140163. The reversal of 14314324140100 is 104142341341.

It can be written as a sum of positive squares in 6 ways, for example, as 2764345167424 + 11549978972676 = 1662632^2 + 3398526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278463097 + ... + 278514496.

It is an arithmetic number, because the mean of its divisors is an integer number (866192988269).

Almost surely, 214314324140100 is an apocalyptic number.

14314324140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314324140100 is an abundant number, since it is smaller than the sum of its proper divisors (16868623437584).

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

14314324140100 is a wasteful number, since it uses less digits than its factorization.

14314324140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556977864 (or 556977857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14314324140100 its reverse (104142341341), we get a palindrome (14418466481441).

The spelling of 14314324140100 in words is "fourteen trillion, three hundred fourteen billion, three hundred twenty-four million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 1028 1285 2570 5140 6425 12850 25700 556977593 1113955186 2227910372 2784887965 5569775930 11139551860 13924439825 27848879650 55697759300 143143241401 286286482802 572572965604 715716207005 1431432414010 2862864828020 3578581035025 7157162070050 14314324140100