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4130142021200 = 245213794258081
BaseRepresentation
bin111100000110011111101…
…001011110011001010000
3112121211121200212101000102
4330012133221132121100
51020132012324134300
612441205553111532
7604251524636336
oct74063751363120
915554550771012
104130142021200
111352646553398
125685482585a8
1323c617237580
14103c85617b56
157267b5240d5
hex3c19fa5e650

4130142021200 has 60 divisors (see below), whose sum is σ = 10685948235228. Its totient is φ = 1524975513600.

The previous prime is 4130142021199. The next prime is 4130142021233. The reversal of 4130142021200 is 21202410314.

It can be written as a sum of positive squares in 6 ways, for example, as 152143683136 + 3977998338064 = 390056^2 + 1994492^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397123841 + ... + 397134240.

Almost surely, 24130142021200 is an apocalyptic number.

4130142021200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130142021200 is an abundant number, since it is smaller than the sum of its proper divisors (6555806214028).

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

4130142021200 is a wasteful number, since it uses less digits than its factorization.

4130142021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794258112 (or 794258101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4130142021200 its reverse (21202410314), we get a palindrome (4151344431514).

The spelling of 4130142021200 in words is "four trillion, one hundred thirty billion, one hundred forty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 794258081 1588516162 3177032324 3971290405 6354064648 7942580810 10325355053 12708129296 15885161620 19856452025 20650710106 31770323240 39712904050 41301420212 51626775265 63540646480 79425808100 82602840424 103253550530 158851616200 165205680848 206507101060 258133876325 317703232400 413014202120 516267752650 826028404240 1032535505300 2065071010600 4130142021200