Search a number
-
+
3203143225440 = 253547141983299
BaseRepresentation
bin101110100111001010001…
…101101101000001100000
3102100012212120002100122120
4232213022031231001200
5404440014131203230
610451300443504240
7450263606116464
oct56471215550140
912305776070576
103203143225440
111025499932754
1243895a228080
131a30940cca92
14b10666244a4
15584c3aee310
hex2e9ca36d060

3203143225440 has 96 divisors (see below), whose sum is σ = 10304579980800. Its totient is φ = 835997658624.

The previous prime is 3203143225421. The next prime is 3203143225441. The reversal of 3203143225440 is 445223413023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3203143225441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70969090 + ... + 71014209.

It is an arithmetic number, because the mean of its divisors is an integer number (107339374800).

Almost surely, 23203143225440 is an apocalyptic number.

3203143225440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3203143225440 is an abundant number, since it is smaller than the sum of its proper divisors (7101436755360).

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

3203143225440 is a wasteful number, since it uses less digits than its factorization.

3203143225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141983364 (or 141983356 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 3203143225440 its reverse (445223413023), we get a palindrome (3648366638463).

The spelling of 3203143225440 in words is "three trillion, two hundred three billion, one hundred forty-three million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 141983299 283966598 425949897 567933196 709916495 851899794 1135866392 1419832990 1703799588 2129749485 2271732784 2839665980 3407599176 4259498970 4543465568 5679331960 6673215053 6815198352 8518997940 11358663920 13346430106 13630396704 17037995880 20019645159 22717327840 26692860212 33366075265 34075991760 40039290318 53385720424 66732150530 68151983520 80078580636 100098225795 106771440848 133464301060 160157161272 200196451590 213542881696 266928602120 320314322544 400392903180 533857204240 640628645088 800785806360 1067714408480 1601571612720 3203143225440