Search a number
-
+
141132014000 = 245370566007
BaseRepresentation
bin1000001101110000011…
…1111010000110110000
3111111021201210011000122
42003130013322012300
54303014243422000
6144500220505412
713124245216445
oct2033407720660
9444251704018
10141132014000
1154943384aaa
12234289ab268
1310402271573
146b8bb019cc
153a102cd085
hex20dc1fa1b0

141132014000 has 40 divisors (see below), whose sum is σ = 341257214688. Its totient is φ = 56452804800.

The previous prime is 141132013999. The next prime is 141132014039. The reversal of 141132014000 is 410231141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1411320140003 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141132014000.

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 7 ways as a sum of consecutive naturals, for example, 35281004 + ... + 35285003.

Almost surely, 2141132014000 is an apocalyptic number.

141132014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141132014000 is an abundant number, since it is smaller than the sum of its proper divisors (200125200688).

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

141132014000 is an equidigital number, since it uses as much as digits as its factorization.

141132014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70566030 (or 70566014 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 141132014000 its reverse (410231141), we get a palindrome (141542245141).

The spelling of 141132014000 in words is "one hundred forty-one billion, one hundred thirty-two million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 70566007 141132014 282264028 352830035 564528056 705660070 1129056112 1411320140 1764150175 2822640280 3528300350 5645280560 7056600700 8820750875 14113201400 17641501750 28226402800 35283003500 70566007000 141132014000