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134422142040 = 233258310134441
BaseRepresentation
bin111110100110000101…
…1110001110001011000
3110211222002222100002100
41331030023301301120
54200244032021130
6141430325003400
712466051232514
oct1751413616130
9424862870070
10134422142040
115200a88197a
1222075853560
13c8a30bac24
146712909144
15376b1c2c60
hex1f4c2f1c58

134422142040 has 192 divisors, whose sum is σ = 442671596640. Its totient is φ = 35371100160.

The previous prime is 134422141969. The next prime is 134422142051. The reversal of 134422142040 is 40241224431.

134422142040 is a `hidden beast` number, since 1 + 3 + 442 + 2 + 14 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134422141995 and 134422142013.

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 47 ways as a sum of consecutive naturals, for example, 30266220 + ... + 30270660.

Almost surely, 2134422142040 is an apocalyptic number.

134422142040 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 134422142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221335798320).

134422142040 is an abundant number, since it is smaller than the sum of its proper divisors (308249454600).

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

134422142040 is a wasteful number, since it uses less digits than its factorization.

134422142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 134422142040 its reverse (40241224431), we get a palindrome (174663366471).

The spelling of 134422142040 in words is "one hundred thirty-four billion, four hundred twenty-two million, one hundred forty-two thousand, forty".