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4240320130000 = 2454541783793
BaseRepresentation
bin111101101101000110110…
…001100110101111010000
3120000101000012102012201201
4331231012301212233100
51023433133423130000
613003550504240544
7615232041260413
oct75550661465720
916011005365651
104240320130000
111395345194259
12585976770154
13249b255c55a6
14109338321b7a
157547909e96a
hex3db46c66bd0

4240320130000 has 100 divisors (see below), whose sum is σ = 10285228601428. Its totient is φ = 1692990720000.

The previous prime is 4240320129967. The next prime is 4240320130003. The reversal of 4240320130000 is 310230424.

It can be written as a sum of positive squares in 10 ways, for example, as 2609723935296 + 1630596194704 = 1615464^2 + 1276948^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 4240320130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240320130003) by changing a digit.

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, 5018104 + ... + 5801896.

Almost surely, 24240320130000 is an apocalyptic number.

4240320130000 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 4240320130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142614300714).

4240320130000 is an abundant number, since it is smaller than the sum of its proper divisors (6044908471428).

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

4240320130000 is an equidigital number, since it uses as much as digits as its factorization.

4240320130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784362 (or 784341 counting only the distinct ones).

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

Adding to 4240320130000 its reverse (310230424), we get a palindrome (4240630360424).

The spelling of 4240320130000 in words is "four trillion, two hundred forty billion, three hundred twenty million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 541 625 1000 1082 1250 2000 2164 2500 2705 4328 5000 5410 8656 10000 10820 13525 21640 27050 43280 54100 67625 108200 135250 216400 270500 338125 541000 676250 783793 1082000 1352500 1567586 2705000 3135172 3918965 5410000 6270344 7837930 12540688 15675860 19594825 31351720 39189650 62703440 78379300 97974125 156758600 195948250 313517200 391896500 424032013 489870625 783793000 848064026 979741250 1567586000 1696128052 1959482500 2120160065 3392256104 3918965000 4240320130 6784512208 7837930000 8480640260 10600800325 16961280520 21201600650 33922561040 42403201300 53004001625 84806402600 106008003250 169612805200 212016006500 265020008125 424032013000 530040016250 848064026000 1060080032500 2120160065000 4240320130000