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20040123120400 = 2452371354062373
BaseRepresentation
bin1001000111001111101000…
…11010110111101100010000
32121221211001122012012121001
410203213310122313230100
510111314133004323100
6110342145551511344
74135564634641165
oct443476432675420
977854048165531
1020040123120400
116426a72069279
1222b7ab0828554
13b24a10a135b6
144d3d38d1806c
1524b45258cd6a
hex1239f46b7b10

20040123120400 has 60 divisors (see below), whose sum is σ = 49447649773732. Its totient is φ = 7799399262720.

The previous prime is 20040123120383. The next prime is 20040123120403. The reversal of 20040123120400 is 402132104002.

It can be written as a sum of positive squares in 6 ways, for example, as 194488056064 + 19845635064336 = 441008^2 + 4454844^2 .

It is not an unprimeable number, because it can be changed into a prime (20040123120403) 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, 677016387 + ... + 677045986.

Almost surely, 220040123120400 is an apocalyptic number.

20040123120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20040123120400 is an abundant number, since it is smaller than the sum of its proper divisors (29407526653332).

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

20040123120400 is a wasteful number, since it uses less digits than its factorization.

20040123120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354062428 (or 1354062417 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20040123120400 its reverse (402132104002), we get a palindrome (20442255224402).

The spelling of 20040123120400 in words is "twenty trillion, forty billion, one hundred twenty-three million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 1354062373 2708124746 5416249492 6770311865 10832498984 13540623730 21664997968 27081247460 33851559325 50100307801 54162494920 67703118650 100200615602 108324989840 135406237300 200401231204 250501539005 270812474600 400802462408 501003078010 541624949200 801604924816 1002006156020 1252507695025 2004012312040 2505015390050 4008024624080 5010030780100 10020061560200 20040123120400