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2004200423040 = 27356117112367
BaseRepresentation
bin11101001010100011101…
…001110111111010000000
321002121012011200110010210
4131022203221313322000
5230314100302014130
64132414510354120
7264540645340254
oct35124351677200
97077164613123
102004200423040
11702a81986892
122845167bb940
13116cc285a7aa
146d00a696264
1537201b425b0
hex1d2a3a77e80

2004200423040 has 128 divisors (see below), whose sum is σ = 6493116913920. Its totient is φ = 525691883520.

The previous prime is 2004200423039. The next prime is 2004200423051. The reversal of 2004200423040 is 403240024002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2004200422998 and 2004200423016.

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, 8439064 + ... + 8673303.

It is an arithmetic number, because the mean of its divisors is an integer number (50727475890).

Almost surely, 22004200423040 is an apocalyptic number.

2004200423040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004200423040 is an abundant number, since it is smaller than the sum of its proper divisors (4488916490880).

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

2004200423040 is a wasteful number, since it uses less digits than its factorization.

2004200423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17112450 (or 17112438 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 2004200423040 its reverse (403240024002), we get a palindrome (2407440447042).

The spelling of 2004200423040 in words is "two trillion, four billion, two hundred million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 305 320 366 384 480 488 610 640 732 915 960 976 1220 1464 1830 1920 1952 2440 2928 3660 3904 4880 5856 7320 7808 9760 11712 14640 19520 23424 29280 39040 58560 117120 17112367 34224734 51337101 68449468 85561835 102674202 136898936 171123670 205348404 256685505 273797872 342247340 410696808 513371010 547595744 684494680 821393616 1026742020 1043854387 1095191488 1368989360 1642787232 2053484040 2087708774 2190382976 2737978720 3131563161 3285574464 4106968080 4175417548 5219271935 5475957440 6263126322 6571148928 8213936160 8350835096 10438543870 10951914880 12526252644 15657815805 16427872320 16701670192 20877087740 25052505288 31315631610 32855744640 33403340384 41754175480 50105010576 62631263220 66806680768 83508350960 100210021152 125262526440 133613361536 167016701920 200420042304 250525052880 334033403840 400840084608 501050105760 668066807680 1002100211520 2004200423040