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133043351040 = 293352966373
BaseRepresentation
bin111101111101000000…
…0000110111000000000
3110201102000112111102000
41323322000012320000
54134433044213130
6141041432424000
712416636552625
oct1737200067000
9421360474360
10133043351040
1151472559886
122194bb48000
13c713556c72
14662175834c
1536da11c260
hex1efa006e00

133043351040 has 320 divisors, whose sum is σ = 488884334400. Its totient is φ = 34254323712.

The previous prime is 133043351033. The next prime is 133043351053. The reversal of 133043351040 is 40153340331.

133043351040 is a `hidden beast` number, since 1 + 3 + 304 + 3 + 351 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 133043350995 and 133043351013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971294 + ... + 2037666.

It is an arithmetic number, because the mean of its divisors is an integer number (1527763545).

Almost surely, 2133043351040 is an apocalyptic number.

133043351040 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 133043351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244442167200).

133043351040 is an abundant number, since it is smaller than the sum of its proper divisors (355840983360).

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

133043351040 is an equidigital number, since it uses as much as digits as its factorization.

133043351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66434 (or 66412 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 133043351040 its reverse (40153340331), we get a palindrome (173196691371).

The spelling of 133043351040 in words is "one hundred thirty-three billion, forty-three million, three hundred fifty-one thousand, forty".