Search a number
-
+
1214140000 = 2554173571
BaseRepresentation
bin100100001011110…
…0100111001100000
310010121121200222011
41020113210321200
54441304440000
6320251122304
742042006523
oct11027447140
93117550864
101214140000
11573394397
1229a743394
13164705548
14b7370bba
15718d02ba
hex485e4e60

1214140000 has 120 divisors (see below), whose sum is σ = 3163556088. Its totient is φ = 456960000.

The previous prime is 1214139989. The next prime is 1214140027. The reversal of 1214140000 is 414121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 338215 + ... + 341785.

Almost surely, 21214140000 is an apocalyptic number.

1214140000 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 1214140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581778044).

1214140000 is an abundant number, since it is smaller than the sum of its proper divisors (1949416088).

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

1214140000 is an equidigital number, since it uses as much as digits as its factorization.

1214140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1214140000 is about 34844.5117629735. The cubic root of 1214140000 is about 1066.8161682813.

Adding to 1214140000 its reverse (414121), we get a palindrome (1214554121).

The spelling of 1214140000 in words is "one billion, two hundred fourteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3400 3571 4000 4250 5000 6800 7142 8500 10000 10625 13600 14284 17000 17855 20000 21250 28568 34000 35710 42500 57136 60707 68000 71420 85000 89275 114272 121414 142840 170000 178550 242828 285680 303535 340000 357100 446375 485656 571360 607070 714200 892750 971312 1214140 1428400 1517675 1785500 1942624 2231875 2428280 2856800 3035350 3571000 4463750 4856560 6070700 7142000 7588375 8927500 9713120 12141400 14284000 15176750 17855000 24282800 30353500 35710000 37941875 48565600 60707000 71420000 75883750 121414000 151767500 242828000 303535000 607070000 1214140000