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42201303472 = 24171672294057
BaseRepresentation
bin100111010011011001…
…001100100110110000
311000221002012100011201
4213103121030212300
51142412013202342
631215332220544
73022534106116
oct472331144660
9130832170151
1042201303472
1116996598a09
12821916a754
133c9714c2b3
142084aa7ab6
15116edaedb7
hex9d364c9b0

42201303472 has 80 divisors (see below), whose sum is σ = 87495024960. Its totient is φ = 19649470464.

The previous prime is 42201303449. The next prime is 42201303491. The reversal of 42201303472 is 27430310224.

It is a self number, because there is not a number n which added to its sum of digits gives 42201303472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10400068 + ... + 10404124.

It is an arithmetic number, because the mean of its divisors is an integer number (1093687812).

Almost surely, 242201303472 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 42201303472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747512480).

42201303472 is an abundant number, since it is smaller than the sum of its proper divisors (45293721488).

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

42201303472 is a wasteful number, since it uses less digits than its factorization.

42201303472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 42201303472 its reverse (27430310224), we get a palindrome (69631613696).

The spelling of 42201303472 in words is "forty-two billion, two hundred one million, three hundred three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 136 167 229 272 334 458 668 916 1336 1832 2672 2839 3664 3893 4057 5678 7786 8114 11356 15572 16228 22712 31144 32456 38243 45424 62288 64912 68969 76486 137938 152972 275876 305944 551752 611888 650131 677519 929053 1103504 1300262 1355038 1858106 2600524 2710076 3716212 5201048 5420152 7432424 10402096 10840304 11517823 14864848 15793901 23035646 31587802 46071292 63175604 92142584 126351208 155151851 184285168 252702416 310303702 620607404 1241214808 2482429616 2637581467 5275162934 10550325868 21100651736 42201303472