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40204020004000 = 255310199514901
BaseRepresentation
bin10010010010000101110100…
…10101001011010010100000
312021100110121021120001120221
421021002322111023102200
520232200313110112000
6221301245525012424
711316434044341016
oct1111027225132240
9167313537501527
1040204020004000
11118a047a1a2826
124613984b54114
1319582b86c0518
149cdc5643a8b6
1549abeb06861a
hex2490ba54b4a0

40204020004000 has 96 divisors (see below), whose sum is σ = 99759310599312. Its totient is φ = 15922384000000.

The previous prime is 40204020003989. The next prime is 40204020004121. The reversal of 40204020004000 is 40002040204.

It can be written as a sum of positive squares in 8 ways, for example, as 22573863430416 + 17630156573584 = 4751196^2 + 4198828^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49353451 + ... + 50161450.

Almost surely, 240204020004000 is an apocalyptic number.

40204020004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40204020004000 is an abundant number, since it is smaller than the sum of its proper divisors (59555290595312).

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

40204020004000 is a wasteful number, since it uses less digits than its factorization.

40204020004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99515027 (or 99515009 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40204020004000 its reverse (40002040204), we get a palindrome (40244022044204).

The spelling of 40204020004000 in words is "forty trillion, two hundred four billion, twenty million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 80800 101000 202000 404000 99514901 199029802 398059604 497574505 796119208 995149010 1592238416 1990298020 2487872525 3184476832 3980596040 4975745050 7961192080 9951490100 10051005001 12439362625 15922384160 19902980200 20102010002 24878725250 39805960400 40204020004 49757450500 50255025005 79611920800 80408040008 99514901000 100510050010 160816080016 199029802000 201020100020 251275125025 321632160032 398059604000 402040200040 502550250050 804080400080 1005100500100 1256375625125 1608160800160 2010201000200 2512751250250 4020402000400 5025502500500 8040804000800 10051005001000 20102010002000 40204020004000