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42102144056610 = 23251183512378533
BaseRepresentation
bin10011001001010101010110…
…10101110011110100100010
312112001220222210211120021100
421210222223111303310202
521004300142334302420
6225313242530535230
711603531243516151
oct1144525325636442
9175056883746240
1042102144056610
11124624677a0470
12487b816a37516
131a652a48b3501
14a57a7ca63598
154d02902a0190
hex264aab573d22

42102144056610 has 96 divisors (see below), whose sum is σ = 120855749571648. Its totient is φ = 10083609509760.

The previous prime is 42102144056597. The next prime is 42102144056633. The reversal of 42102144056610 is 1665044120124.

42102144056610 is a `hidden beast` number, since 4 + 2 + 10 + 21 + 4 + 4 + 0 + 5 + 6 + 610 = 666.

42102144056610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256107097 + ... + 256271436.

It is an arithmetic number, because the mean of its divisors is an integer number (1258914058038).

Almost surely, 242102144056610 is an apocalyptic number.

42102144056610 is an abundant number, since it is smaller than the sum of its proper divisors (78753605515038).

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

42102144056610 is a wasteful number, since it uses less digits than its factorization.

42102144056610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512378640 (or 512378637 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 42102144056610 its reverse (1665044120124), we get a palindrome (43767188176734).

The spelling of 42102144056610 in words is "forty-two trillion, one hundred two billion, one hundred forty-four million, fifty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 83 90 99 110 165 166 198 249 330 415 495 498 747 830 913 990 1245 1494 1826 2490 2739 3735 4565 5478 7470 8217 9130 13695 16434 27390 41085 82170 512378533 1024757066 1537135599 2561892665 3074271198 4611406797 5123785330 5636163863 7685677995 9222813594 11272327726 15371355990 16908491589 23057033985 28180819315 33816983178 42527418239 46114067970 50725474767 56361638630 84542457945 85054836478 101450949534 127582254717 169084915890 212637091195 253627373835 255164509434 382746764151 425274182390 467801600629 507254747670 637911273585 765493528302 935603201258 1275822547170 1403404801887 1913733820755 2339008003145 2806809603774 3827467641510 4210214405661 4678016006290 7017024009435 8420428811322 14034048018870 21051072028305 42102144056610