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20040300240000 = 2735483501251
BaseRepresentation
bin1001000111001111111101…
…11110100001110010000000
32121221211111222110211000020
410203213332332201302000
510111320013330140000
6110342215320053440
74135602215301645
oct443477676416200
977854458424006
1020040300240000
116427053043907
1222b7b40004280
13b24a3b6193b1
144d3d54661dcc
1524b462dc7ba0
hex1239fefa1c80

20040300240000 has 160 divisors (see below), whose sum is σ = 66518767368240. Its totient is φ = 5344080000000.

The previous prime is 20040300239987. The next prime is 20040300240011. The reversal of 20040300240000 is 4200304002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×200403002400002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 41510626 + ... + 41990625.

Almost surely, 220040300240000 is an apocalyptic number.

20040300240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20040300240000 is an abundant number, since it is smaller than the sum of its proper divisors (46478467128240).

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

20040300240000 is an frugal number, since it uses more digits than its factorization.

20040300240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83501288 (or 83501261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20040300240000 its reverse (4200304002), we get a palindrome (20044500544002).

The spelling of 20040300240000 in words is "twenty trillion, forty billion, three hundred million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 83501251 167002502 250503753 334005004 417506255 501007506 668010008 835012510 1002015012 1252518765 1336020016 1670025020 2004030024 2087531275 2505037530 2672040032 3340050040 4008060048 4175062550 5010075060 5344080064 6262593825 6680100080 8016120096 8350125100 10020150120 10437656375 10688160128 12525187650 13360200160 16032240192 16700250200 20040300240 20875312750 25050375300 26720400320 31312969125 32064480384 33400500400 40080600480 41750625500 50100750600 52188281875 53440800640 62625938250 66801000800 80161200960 83501251000 100201501200 104376563750 125251876500 133602001600 156564845625 160322401920 167002502000 200403002400 208753127500 250503753000 267204003200 313129691250 334005004000 400806004800 417506255000 501007506000 626259382500 668010008000 801612009600 835012510000 1002015012000 1252518765000 1336020016000 1670025020000 2004030024000 2505037530000 3340050040000 4008060048000 5010075060000 6680100080000 10020150120000 20040300240000