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325842471040 = 2758946112409
BaseRepresentation
bin1001011110111011011…
…10011000100010000000
31011011001112002120120011
410233131232120202000
520314311133033130
6405405010554304
732353452206452
oct4573556304200
91134045076504
10325842471040
11116209642289
1253197b98994
132495aa684a8
1411ab134c2d2
1587212e752a
hex4bddb98880

325842471040 has 128 divisors (see below), whose sum is σ = 789491934000. Its totient is φ = 128582615040.

The previous prime is 325842471023. The next prime is 325842471137. The reversal of 325842471040 is 40174248523.

It can be written as a sum of positive squares in 8 ways, for example, as 6960898624 + 318881572416 = 83432^2 + 564696^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 325842470984 and 325842471002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26252356 + ... + 26264764.

Almost surely, 2325842471040 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 325842471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394745967000).

325842471040 is an abundant number, since it is smaller than the sum of its proper divisors (463649462960).

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

325842471040 is a wasteful number, since it uses less digits than its factorization.

325842471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12978 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 325842471040 in words is "three hundred twenty-five billion, eight hundred forty-two million, four hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 461 640 712 890 922 1424 1780 1844 2305 2848 3560 3688 4610 5696 7120 7376 9220 11392 12409 14240 14752 18440 24818 28480 29504 36880 41029 49636 56960 59008 62045 73760 82058 99272 124090 147520 164116 198544 205145 248180 295040 328232 397088 410290 496360 656464 794176 820580 992720 1104401 1312928 1588352 1641160 1985440 2208802 2625856 3282320 3970880 4417604 5251712 5522005 5720549 6564640 7941760 8835208 11044010 11441098 13129280 17670416 22088020 22882196 26258560 28602745 35340832 44176040 45764392 57205490 70681664 88352080 91528784 114410980 141363328 176704160 183057568 228821960 353408320 366115136 457643920 509128861 706816640 732230272 915287840 1018257722 1830575680 2036515444 2545644305 3661151360 4073030888 5091288610 8146061776 10182577220 16292123552 20365154440 32584247104 40730308880 65168494208 81460617760 162921235520 325842471040