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3240421031200 = 255223339743789
BaseRepresentation
bin101111001001111000001…
…001001111110100100000
3102110210002111212002200011
4233021320021033310200
5411042340240444300
610520343500334304
7453053440206103
oct57117011176440
912423074762604
103240421031200
11103a289215991
12444022544394
131a67551c7802
14b2ba146273a
1559456619eba
hex2f27824fd20

3240421031200 has 144 divisors (see below), whose sum is σ = 7964822796840. Its totient is φ = 1287325163520.

The previous prime is 3240421031191. The next prime is 3240421031227. The reversal of 3240421031200 is 21301240423.

It can be written as a sum of positive squares in 12 ways, for example, as 422172463504 + 2818248567696 = 649748^2 + 1678764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73978906 + ... + 74022694.

Almost surely, 23240421031200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240421031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982411398420).

3240421031200 is an abundant number, since it is smaller than the sum of its proper divisors (4724401765640).

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

3240421031200 is a wasteful number, since it uses less digits than its factorization.

3240421031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44439 (or 44426 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 3240421031200 its reverse (21301240423), we get a palindrome (3261722271623).

The spelling of 3240421031200 in words is "three trillion, two hundred forty billion, four hundred twenty-one million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 233 397 400 466 794 800 932 1165 1588 1864 1985 2330 3176 3728 3970 4660 5825 6352 7456 7940 9320 9925 11650 12704 15880 18640 19850 23300 31760 37280 39700 43789 46600 63520 79400 87578 92501 93200 158800 175156 185002 186400 218945 317600 350312 370004 437890 462505 700624 740008 875780 925010 1094725 1401248 1480016 1751560 1850020 2189450 2312525 2960032 3503120 3700040 4378900 4625050 7006240 7400080 8757800 9250100 10202837 14800160 17384233 17515600 18500200 20405674 34768466 35031200 37000400 40811348 51014185 69536932 74000800 81622696 86921165 102028370 139073864 163245392 173842330 204056740 255070925 278147728 326490784 347684660 408113480 434605825 510141850 556295456 695369320 816226960 869211650 1020283700 1390738640 1632453920 1738423300 2040567400 2781477280 3476846600 4050526289 4081134800 6953693200 8101052578 8162269600 13907386400 16202105156 20252631445 32404210312 40505262890 64808420624 81010525780 101263157225 129616841248 162021051560 202526314450 324042103120 405052628900 648084206240 810105257800 1620210515600 3240421031200