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6441909340 = 22519413131321
BaseRepresentation
bin1011111111111011…
…11011110001011100
3121121221120220022211
411333331323301130
5101143112044330
62543120250204
7315431216536
oct57775736134
917557526284
106441909340
112806320919
1212b9470964
137b87c1c99
144517a2856
1527a828d2a
hex17ff7bc5c

6441909340 has 96 divisors (see below), whose sum is σ = 14645010240. Its totient is φ = 2372198400.

The previous prime is 6441909323. The next prime is 6441909361. The reversal of 6441909340 is 439091446.

It is a junction number, because it is equal to n+sod(n) for n = 6441909293 and 6441909302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4875880 + ... + 4877200.

It is an arithmetic number, because the mean of its divisors is an integer number (152552190).

Almost surely, 26441909340 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 6441909340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322505120).

6441909340 is an abundant number, since it is smaller than the sum of its proper divisors (8203100900).

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

6441909340 is a wasteful number, since it uses less digits than its factorization.

6441909340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 6441909340 is about 80261.5059664345. The cubic root of 6441909340 is about 1860.6793429374.

The spelling of 6441909340 in words is "six billion, four hundred forty-one million, nine hundred nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 313 380 410 626 779 820 1252 1321 1558 1565 2642 3116 3130 3895 5284 5947 6260 6605 7790 11894 12833 13210 15580 23788 25099 25666 26420 29735 50198 51332 54161 59470 64165 100396 108322 118940 125495 128330 216644 243827 250990 256660 270805 413473 487654 501980 541610 826946 975308 1029059 1083220 1219135 1653892 2058118 2067365 2438270 4116236 4134730 4876540 5145295 7855987 8269460 10290590 15711974 16952393 20581180 31423948 33904786 39279935 67809572 78559870 84761965 157119740 169523930 322095467 339047860 644190934 1288381868 1610477335 3220954670 6441909340