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133340034420 = 22325740777969
BaseRepresentation
bin111110000101110101…
…1110111010101110100
3110202011200210120111100
41330023223313111310
54141040022100140
6141131111410100
712430201410015
oct1741353672564
9422150716440
10133340034420
1151604a7845a
1221a13383930
13c75cb63268
14664cd0700c
1537061c3530
hex1f0baf7574

133340034420 has 36 divisors (see below), whose sum is σ = 404464771620. Its totient is φ = 35557342464.

The previous prime is 133340034379. The next prime is 133340034427. The reversal of 133340034420 is 24430043331.

It can be written as a sum of positive squares in 2 ways, for example, as 23618771856 + 109721262564 = 153684^2 + 331242^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1333400344203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133340034427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370388805 + ... + 370389164.

It is an arithmetic number, because the mean of its divisors is an integer number (11235132545).

Almost surely, 2133340034420 is an apocalyptic number.

133340034420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133340034420 is an abundant number, since it is smaller than the sum of its proper divisors (271124737200).

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

133340034420 is a wasteful number, since it uses less digits than its factorization.

133340034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740777984 (or 740777979 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 133340034420 its reverse (24430043331), we get a palindrome (157770077751).

The spelling of 133340034420 in words is "one hundred thirty-three billion, three hundred forty million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 740777969 1481555938 2222333907 2963111876 3703889845 4444667814 6667001721 7407779690 8889335628 11111669535 13334003442 14815559380 22223339070 26668006884 33335008605 44446678140 66670017210 133340034420