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41150993329216 = 2683296612
BaseRepresentation
bin10010101101101001101100…
…10101101110110001000000
312101200222220110221022012001
421112310312111232301000
520343204213243013331
6223304301053513344
711445026655652411
oct1126646625566100
9171628813838161
1041150993329216
1112126046a26051
1247474084a2854
1319c66a2b55504
14a23a0c1a5808
154b5672377561
hex256d3656ec40

41150993329216 has 63 divisors (see below), whose sum is σ = 82663255711893. Its totient is φ = 20325495025920.

The previous prime is 41150993329181. The next prime is 41150993329231. The reversal of 41150993329216 is 61292339905114.

The square root of 41150993329216 is 6414904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8518551616 + 41142474777600 = 92296^2 + 6414240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4259491426 + ... + 4259501086.

Almost surely, 241150993329216 is an apocalyptic number.

41150993329216 is the 6414904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41150993329216

41150993329216 is an abundant number, since it is smaller than the sum of its proper divisors (41512262382677).

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

41150993329216 is an frugal number, since it uses more digits than its factorization.

41150993329216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19500 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 55.

The spelling of 41150993329216 in words is "forty-one trillion, one hundred fifty billion, nine hundred ninety-three million, three hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 2656 5312 6889 9661 13778 19322 27556 38644 55112 77288 110224 154576 220448 309152 440896 618304 801863 1603726 3207452 6414904 12829808 25659616 51319232 66554629 93334921 133109258 186669842 266218516 373339684 532437032 746679368 1064874064 1493358736 2129748128 2986717472 4259496256 5973434944 7746798443 15493596886 30987193772 61974387544 123948775088 247897550176 495795100352 642984270769 1285968541538 2571937083076 5143874166152 10287748332304 20575496664608 41150993329216