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423540640000 = 285416272
BaseRepresentation
bin1100010100111001111…
…11010100100100000000
31111111020021102210020101
412022130333110210000
523414402400440000
6522323305452144
742412506016342
oct6123477244400
91444207383211
10423540640000
11153693716685
126a102aa1054
1330c2a71151a
14166dc7c5292
15b03d3ece6a
hex629cfd4900

423540640000 has 135 divisors (see below), whose sum is σ = 1057095079887. Its totient is φ = 169312128000.

The previous prime is 423540639979. The next prime is 423540640001. The reversal of 423540640000 is 46045324.

The square root of 423540640000 is 650800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 33205586176 + 390335053824 = 182224^2 + 624768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (423540640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 260319187 + ... + 260320813.

Almost surely, 2423540640000 is an apocalyptic number.

423540640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

423540640000 is the 650800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423540640000

423540640000 is an abundant number, since it is smaller than the sum of its proper divisors (633554439887).

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

423540640000 is an frugal number, since it uses more digits than its factorization.

423540640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 423540640000 its reverse (46045324), we get a palindrome (423586685324).

The spelling of 423540640000 in words is "four hundred twenty-three billion, five hundred forty million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 1627 2000 2500 3200 3254 4000 5000 6400 6508 8000 8135 10000 13016 16000 16270 20000 26032 32000 32540 40000 40675 52064 65080 80000 81350 104128 130160 160000 162700 203375 208256 260320 325400 406750 416512 520640 650800 813500 1016875 1041280 1301600 1627000 2033750 2082560 2603200 2647129 3254000 4067500 5206400 5294258 6508000 8135000 10412800 10588516 13016000 13235645 16270000 21177032 26032000 26471290 32540000 42354064 52064000 52942580 65080000 66178225 84708128 105885160 130160000 132356450 169416256 211770320 260320000 264712900 330891125 338832512 423540640 529425800 661782250 677665024 847081280 1058851600 1323564500 1654455625 1694162560 2117703200 2647129000 3308911250 3388325120 4235406400 5294258000 6617822500 8470812800 10588516000 13235645000 16941625600 21177032000 26471290000 42354064000 52942580000 84708128000 105885160000 211770320000 423540640000