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3425431120000 = 2754237118059
BaseRepresentation
bin110001110110001011100…
…110101110100010000000
3110010110122011222101201021
4301312023212232202000
5422110240331320000
611141342112515224
7502323243053101
oct61661346564200
913113564871637
103425431120000
111100798625a1a
12473a55b4bb14
131bb02aac0a36
14bbb127c83a8
155e183abe11a
hex31d8b9ae880

3425431120000 has 160 divisors (see below), whose sum is σ = 8531465619600. Its totient is φ = 1369518720000.

The previous prime is 3425431119989. The next prime is 3425431120073. The reversal of 3425431120000 is 211345243.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 189670971 + ... + 189689029.

Almost surely, 23425431120000 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 3425431120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265732809800).

3425431120000 is an abundant number, since it is smaller than the sum of its proper divisors (5106034499600).

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

3425431120000 is an equidigital number, since it uses as much as digits as its factorization.

3425431120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20464 (or 20437 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 3425431120000 its reverse (211345243), we get a palindrome (3425642465243).

The spelling of 3425431120000 in words is "three trillion, four hundred twenty-five billion, four hundred thirty-one million, one hundred twenty 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 2371 2500 3200 4000 4742 5000 8000 9484 10000 11855 16000 18059 18968 20000 23710 36118 37936 40000 47420 59275 72236 75872 80000 90295 94840 118550 144472 151744 180590 189680 237100 288944 296375 303488 361180 379360 451475 474200 577888 592750 722360 758720 902950 948400 1155776 1185500 1444720 1481875 1517440 1805900 1896800 2257375 2311552 2371000 2889440 2963750 3611800 3793600 4514750 4742000 5778880 5927500 7223600 7587200 9029500 9484000 11286875 11557760 11855000 14447200 18059000 18968000 22573750 23710000 28894400 36118000 37936000 42817889 45147500 47420000 57788800 72236000 85635778 90295000 94840000 144472000 171271556 180590000 189680000 214089445 288944000 342543112 361180000 428178890 685086224 722360000 856357780 1070447225 1370172448 1444720000 1712715560 2140894450 2740344896 3425431120 4281788900 5352236125 5480689792 6850862240 8563577800 10704472250 13701724480 17127155600 21408944500 26761180625 27403448960 34254311200 42817889000 53522361250 68508622400 85635778000 107044722500 137017244800 171271556000 214089445000 342543112000 428178890000 685086224000 856357780000 1712715560000 3425431120000