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1422133241400 = 2332527928335339
BaseRepresentation
bin10100101100011101101…
…111110010011000111000
312000221202220120221210100
4110230131233302120320
5141300012102211100
63005152522515400
7204513534046434
oct24543557623070
95027686527710
101422133241400
114a913a15a133
121ab751665b60
13a415023ab11
144cb8dd519c4
1526ed630c400
hex14b1dbf2638

1422133241400 has 288 divisors, whose sum is σ = 4853680416000. Its totient is φ = 373101431040.

The previous prime is 1422133241393. The next prime is 1422133241423. The reversal of 1422133241400 is 41423312241.

1422133241400 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 13 + 3 + 241 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40224931 + ... + 40260269.

It is an arithmetic number, because the mean of its divisors is an integer number (16853057000).

Almost surely, 21422133241400 is an apocalyptic number.

1422133241400 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 1422133241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426840208000).

1422133241400 is an abundant number, since it is smaller than the sum of its proper divisors (3431547174600).

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

1422133241400 is a wasteful number, since it uses less digits than its factorization.

1422133241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35723 (or 35711 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1422133241400 its reverse (41423312241), we get a palindrome (1463556553641).

The spelling of 1422133241400 in words is "one trillion, four hundred twenty-two billion, one hundred thirty-three million, two hundred forty-one thousand, four hundred".