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134222133240 = 233351353612957
BaseRepresentation
bin111110100000001000…
…0110011011111111000
3110211110011121211121000
41331000100303133320
54144341331230430
6141354422045000
712461102210466
oct1750020633770
9424404554530
10134222133240
1151a17993348
122201a879760
13c87082c920
1466d4123836
153758865e60
hex1f404337f8

134222133240 has 512 divisors, whose sum is σ = 499130553600. Its totient is φ = 31873720320.

The previous prime is 134222133239. The next prime is 134222133271. The reversal of 134222133240 is 42331222431.

134222133240 is a `hidden beast` number, since 1 + 3 + 422 + 213 + 3 + 24 + 0 = 666.

It is a super-3 number, since 3×1342221332403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45389842 + ... + 45392798.

Almost surely, 2134222133240 is an apocalyptic number.

134222133240 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 134222133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249565276800).

134222133240 is an abundant number, since it is smaller than the sum of its proper divisors (364908420360).

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

134222133240 is a wasteful number, since it uses less digits than its factorization.

134222133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 134222133240 its reverse (42331222431), we get a palindrome (176553355671).

The spelling of 134222133240 in words is "one hundred thirty-four billion, two hundred twenty-two million, one hundred thirty-three thousand, two hundred forty".