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145702104505216 = 2771916751249277
BaseRepresentation
bin100001001000001111101010…
…001011101001101110000000
3201002212222121011212000011221
4201020033222023221232000
5123044140402223131331
61233514342303444424
742455425655624410
oct4110175213515600
9632788534760157
10145702104505216
1142474a08602306
1214412063bb6714
13633b859c4924c
1427da03b678640
1511ca0a591c711
hex8483ea2e9b80

145702104505216 has 128 divisors (see below), whose sum is σ = 351283051123200. Its totient is φ = 58803009288192.

The previous prime is 145702104505213. The next prime is 145702104505261. The reversal of 145702104505216 is 612505401207541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145702104505213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22781631 + ... + 28467646.

It is an arithmetic number, because the mean of its divisors is an integer number (2744398836900).

Almost surely, 2145702104505216 is an apocalyptic number.

145702104505216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145702104505216 is an abundant number, since it is smaller than the sum of its proper divisors (205580946617984).

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

145702104505216 is a wasteful number, since it uses less digits than its factorization.

145702104505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51249484 (or 51249472 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 145702104505216 in words is "one hundred forty-five trillion, seven hundred two billion, one hundred four million, five hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 167 224 266 304 334 448 532 608 668 896 1064 1169 1216 1336 2128 2338 2432 2672 3173 4256 4676 5344 6346 8512 9352 10688 12692 17024 18704 21376 22211 25384 37408 44422 50768 74816 88844 101536 149632 177688 203072 355376 406144 710752 1421504 2843008 51249277 102498554 204997108 358744939 409994216 717489878 819988432 973736263 1434979756 1639976864 1947472526 2869959512 3279953728 3894945052 5739919024 6559907456 6816153841 7789890104 8558629259 11479838048 13632307682 15579780208 17117258518 22959676096 27264615364 31159560416 34234517036 45919352192 54529230728 59910404813 62319120832 68469034072 109058461456 119820809626 124638241664 136938068144 162613955921 218116922912 239641619252 273876136288 325227911842 436233845824 479283238504 547752272576 650455823684 872467691648 958566477008 1095504545152 1138297691447 1300911647368 1917132954016 2276595382894 2601823294736 3834265908032 4553190765788 5203646589472 7668531816064 9106381531576 10407293178944 18212763063152 20814586357888 36425526126304 72851052252608 145702104505216