Search a number
-
+
114302324000 = 255337772313
BaseRepresentation
bin110101001110011110…
…0110000110100100000
3101221000220222200101102
41222130330300310200
53333042343332000
6124302035253532
711154342503054
oct1523474606440
9357026880342
10114302324000
1144525755887
121a19b74a2a8
13aa17951157
145764753c64
152e8eb8a3d5
hex1a9cf30d20

114302324000 has 96 divisors (see below), whose sum is σ = 288431475696. Its totient is φ = 44485171200.

The previous prime is 114302323979. The next prime is 114302324041. The reversal of 114302324000 is 423203411.

It can be written as a sum of positive squares in 8 ways, for example, as 23650748944 + 90651575056 = 153788^2 + 301084^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 238157 + ... + 534156.

Almost surely, 2114302324000 is an apocalyptic number.

114302324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114302324000 is an abundant number, since it is smaller than the sum of its proper divisors (174129151696).

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

114302324000 is an equidigital number, since it uses as much as digits as its factorization.

114302324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772375 (or 772357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 114302324000 its reverse (423203411), we get a palindrome (114725527411).

The spelling of 114302324000 in words is "one hundred fourteen billion, three hundred two million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 740 800 925 1000 1184 1480 1850 2000 2960 3700 4000 4625 5920 7400 9250 14800 18500 29600 37000 74000 148000 772313 1544626 3089252 3861565 6178504 7723130 12357008 15446260 19307825 24714016 28575581 30892520 38615650 57151162 61785040 77231300 96539125 114302324 123570080 142877905 154462600 193078250 228604648 285755810 308925200 386156500 457209296 571511620 617850400 714389525 772313000 914418592 1143023240 1428779050 1544626000 2286046480 2857558100 3089252000 3571947625 4572092960 5715116200 7143895250 11430232400 14287790500 22860464800 28575581000 57151162000 114302324000