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330252004240000 = 27544128150053
BaseRepresentation
bin100101100010111001100100…
…1011001100010101010000000
31121022022210011000002010212121
41023011303021121202222000
5321241322101041140000
63130215402024534024
7126363630350650333
oct11305631131425200
91538283130063777
10330252004240000
11962570a7817a17
1231059074021314
1311237826c0317b
145b7a3d487461a
15282a92c3a0b1a
hex12c5cc9662a80

330252004240000 has 80 divisors (see below), whose sum is σ = 822141724004370. Its totient is φ = 132100801664000.

The previous prime is 330252004239893. The next prime is 330252004240001. The reversal of 330252004240000 is 42400252033.

It can be written as a sum of positive squares in 5 ways, for example, as 59236912688704 + 271015091551296 = 7696552^2 + 16462536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (330252004240001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2063995027 + ... + 2064155026.

Almost surely, 2330252004240000 is an apocalyptic number.

It is an amenable number.

330252004240000 is an abundant number, since it is smaller than the sum of its proper divisors (491889719764370).

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

330252004240000 is an frugal number, since it uses more digits than its factorization.

330252004240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128150087 (or 4128150060 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 330252004240000 its reverse (42400252033), we get a palindrome (330294404492033).

The spelling of 330252004240000 in words is "three hundred thirty trillion, two hundred fifty-two billion, four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 4128150053 8256300106 16512600212 20640750265 33025200424 41281500530 66050400848 82563001060 103203751325 132100801696 165126002120 206407502650 264201603392 330252004240 412815005300 516018756625 528403206784 660504008480 825630010600 1032037513250 1321008016960 1651260021200 2064075026500 2580093783125 2642016033920 3302520042400 4128150053000 5160187566250 6605040084800 8256300106000 10320375132500 13210080169600 16512600212000 20640750265000 33025200424000 41281500530000 66050400848000 82563001060000 165126002120000 330252004240000