Search a number
-
+
12214454142000 = 2435311216824317
BaseRepresentation
bin1011000110111110011000…
…1100110100010000110000
31121020200122022101021120110
42301233212030310100300
53100110200230021000
641551124234341320
72400315363105135
oct261574614642060
947220568337513
1012214454142000
11398a136a29900
1214532abb8a840
136a7a834379b6
1430327b5d258c
15162ad52d3850
hexb1be6334430

12214454142000 has 240 divisors, whose sum is σ = 43284797783136. Its totient is φ = 2961079616000.

The previous prime is 12214454141999. The next prime is 12214454142017. The reversal of 12214454142000 is 24145441221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7686159 + ... + 9138158.

Almost surely, 212214454142000 is an apocalyptic number.

12214454142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214454142000 is an abundant number, since it is smaller than the sum of its proper divisors (31070343641136).

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

12214454142000 is a wasteful number, since it uses less digits than its factorization.

12214454142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16824365 (or 16824338 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 12214454142000 its reverse (24145441221), we get a palindrome (12238599583221).

The spelling of 12214454142000 in words is "twelve trillion, two hundred fourteen billion, four hundred fifty-four million, one hundred forty-two thousand".