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4023001340200 = 2352731971398721
BaseRepresentation
bin111010100010101101100…
…100001101100100101000
3112020121001212202211221001
4322202231210031210220
51011403101320341300
612320050304324344
7563436503114023
oct72425544154450
915217055684831
104023001340200
111311166416a37
1254b8270136b4
132324a12368cb
14dca0009a1ba
156e9aa48216a
hex3a8ad90d928

4023001340200 has 96 divisors (see below), whose sum is σ = 9529744755960. Its totient is φ = 1579098931200.

The previous prime is 4023001340129. The next prime is 4023001340213. The reversal of 4023001340200 is 20431003204.

It can be written as a sum of positive squares in 12 ways, for example, as 304344202276 + 3718657137924 = 551674^2 + 1928382^2 .

It is a super-2 number, since 2×40230013402002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2176840 + ... + 3575560.

Almost surely, 24023001340200 is an apocalyptic number.

4023001340200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023001340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764872377980).

4023001340200 is an abundant number, since it is smaller than the sum of its proper divisors (5506743415760).

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

4023001340200 is a wasteful number, since it uses less digits than its factorization.

4023001340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399007 (or 1398998 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 4023001340200 its reverse (20431003204), we get a palindrome (4043432343404).

The spelling of 4023001340200 in words is "four trillion, twenty-three billion, one million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 197 200 292 365 394 584 730 788 985 1460 1576 1825 1970 2920 3650 3940 4925 7300 7880 9850 14381 14600 19700 28762 39400 57524 71905 115048 143810 287620 359525 575240 719050 1398721 1438100 2797442 2876200 5594884 6993605 11189768 13987210 27974420 34968025 55948840 69936050 102106633 139872100 204213266 275548037 279744200 408426532 510533165 551096074 816853064 1021066330 1102192148 1377740185 2042132660 2204384296 2552665825 2755480370 4084265320 5105331650 5510960740 6888700925 10210663300 11021921480 13777401850 20115006701 20421326600 27554803700 40230013402 55109607400 80460026804 100575033505 160920053608 201150067010 402300134020 502875167525 804600268040 1005750335050 2011500670100 4023001340200