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420034024320 = 2735218767721
BaseRepresentation
bin1100001110010111111…
…10101001001110000000
31111011011220010020211120
412013023332221032000
523340212202234240
6520543322512240
742226556204121
oct6071376511600
91434156106746
10420034024320
11152154290399
12694a4665680
13307bc0998c1
1416488bc4048
15add5635ad0
hex61cbfa9380

420034024320 has 64 divisors (see below), whose sum is σ = 1338858458640. Its totient is φ = 112009072640.

The previous prime is 420034024229. The next prime is 420034024327. The reversal of 420034024320 is 23420430024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420034024327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109381941 + ... + 109385780.

Almost surely, 2420034024320 is an apocalyptic number.

420034024320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420034024320 is an abundant number, since it is smaller than the sum of its proper divisors (918824434320).

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

420034024320 is a wasteful number, since it uses less digits than its factorization.

420034024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218767743 (or 218767731 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 420034024320 its reverse (23420430024), we get a palindrome (443454454344).

The spelling of 420034024320 in words is "four hundred twenty billion, thirty-four million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 218767721 437535442 656303163 875070884 1093838605 1312606326 1750141768 2187677210 2625212652 3281515815 3500283536 4375354420 5250425304 6563031630 7000567072 8750708840 10500850608 13126063260 14001134144 17501417680 21001701216 26252126520 28002268288 35002835360 42003402432 52504253040 70005670720 84006804864 105008506080 140011341440 210017012160 420034024320