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142213104000 = 2733531129927
BaseRepresentation
bin1000010001110010001…
…1111100000110000000
3111121002002001012201000
42010130203330012000
54312223023312000
6145155400212000
713163113303362
oct2043443740600
9447062035630
10142213104000
1155348653a10
122368aa6a000
1310545230ca6
146c5151ad32
153a7517b000
hex211c8fc180

142213104000 has 512 divisors, whose sum is σ = 571457203200. Its totient is φ = 34474752000.

The previous prime is 142213103939. The next prime is 142213104023. The reversal of 142213104000 is 401312241.

142213104000 is a `hidden beast` number, since 1 + 42 + 213 + 10 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4737037 + ... + 4766963.

It is an arithmetic number, because the mean of its divisors is an integer number (1116127350).

Almost surely, 2142213104000 is an apocalyptic number.

142213104000 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 142213104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285728601600).

142213104000 is an abundant number, since it is smaller than the sum of its proper divisors (429244099200).

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

142213104000 is a wasteful number, since it uses less digits than its factorization.

142213104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29976 (or 29948 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 142213104000 its reverse (401312241), we get a palindrome (142614416241).

The spelling of 142213104000 in words is "one hundred forty-two billion, two hundred thirteen million, one hundred four thousand".