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41520104442 = 2347333110607
BaseRepresentation
bin100110101010110010…
…101000001111111010
310222011121101211210000
4212222302220033322
51140013121320232
631023555533430
72666623031115
oct465262501772
9128147354700
1041520104442
1116677020003
128068bba276
133bb8c9364b
14201c42557c
1511301a327c
hex9aaca83fa

41520104442 has 80 divisors (see below), whose sum is σ = 94604095872. Its totient is φ = 13607922240.

The previous prime is 41520104387. The next prime is 41520104471. The reversal of 41520104442 is 24440102514.

41520104442 is a `hidden beast` number, since 4 + 15 + 201 + 0 + 4 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 3909103 + ... + 3919709.

Almost surely, 241520104442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41520104442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47302047936).

41520104442 is an abundant number, since it is smaller than the sum of its proper divisors (53083991430).

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

41520104442 is a wasteful number, since it uses less digits than its factorization.

41520104442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 41520104442 its reverse (24440102514), we get a palindrome (65960206956).

The spelling of 41520104442 in words is "forty-one billion, five hundred twenty million, one hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 331 438 657 662 993 1314 1971 1986 2979 3942 5913 5958 8937 10607 11826 17874 21214 24163 26811 31821 48326 53622 63642 72489 95463 144978 190926 217467 286389 434934 572778 652401 774311 859167 1304802 1548622 1718334 1957203 2322933 3510917 3914406 4645866 6968799 7021834 10532751 13937598 20906397 21065502 31598253 41812794 62719191 63196506 94794759 125438382 189589518 256296941 284384277 512593882 568768554 768890823 1537781646 2306672469 4613344938 6920017407 13840034814 20760052221 41520104442