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134233503143040 = 2733571109734649
BaseRepresentation
bin11110100001010110101100…
…010001011001010010000000
3122121021121010122001200102000
4132201112230101121102000
5120043240203301034130
61153254004154424000
740163023225530510
oct3641265421312200
9577247118050360
10134233503143040
1139853122078264
121307b428732000
1359b921b761c82
142520d16da3840
15107bac4e30260
hex7a15ac459480

134233503143040 has 256 divisors, whose sum is σ = 543326084640000. Its totient is φ = 30681943547904.

The previous prime is 134233503143027. The next prime is 134233503143057. The reversal of 134233503143040 is 40341305332431.

134233503143040 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 3 + 503 + 143 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134233503142986 and 134233503143004.

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 31 ways as a sum of consecutive naturals, for example, 554746365 + ... + 554988284.

It is an arithmetic number, because the mean of its divisors is an integer number (2122367518125).

Almost surely, 2134233503143040 is an apocalyptic number.

134233503143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134233503143040 is an abundant number, since it is smaller than the sum of its proper divisors (409092581496960).

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

134233503143040 is a wasteful number, since it uses less digits than its factorization.

134233503143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109734684 (or 1109734666 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 134233503143040 its reverse (40341305332431), we get a palindrome (174574808475471).

The spelling of 134233503143040 in words is "one hundred thirty-four trillion, two hundred thirty-three billion, five hundred three million, one hundred forty-three thousand, forty".