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210242244505140 = 223254430412636353
BaseRepresentation
bin101111110011011011010110…
…010011001110111000110100
31000120101221222111122012121200
4233303123112103032320310
5210024102104043131030
62023051542003012500
762166333545206521
oct5763332623167064
91016357874565550
10210242244505140
1160a98265023531
121b6b643236a130
1390409b2800773
1439cbac9546148
151948d3aeebd60
hexbf36d64cee34

210242244505140 has 72 divisors (see below), whose sum is σ = 637736489681928. Its totient is φ = 56064450723840.

The previous prime is 210242244505133. The next prime is 210242244505207. The reversal of 210242244505140 is 41505442242012.

210242244505140 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 4 + 2 + 2 + 4 + 4 + 505 + 140 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12656546220816 + 197585698284324 = 3557604^2 + 14056518^2 .

It is a super-3 number, since 3×2102422445051403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 210242244505095 and 210242244505104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78429204 + ... + 81065556.

Almost surely, 2210242244505140 is an apocalyptic number.

210242244505140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210242244505140 is an abundant number, since it is smaller than the sum of its proper divisors (427494245176788).

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

210242244505140 is a wasteful number, since it uses less digits than its factorization.

210242244505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079409 (or 3079404 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 210242244505140 its reverse (41505442242012), we get a palindrome (251747686747152).

The spelling of 210242244505140 in words is "two hundred ten trillion, two hundred forty-two billion, two hundred forty-four million, five hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443041 886082 1329123 1772164 2215205 2636353 2658246 3987369 4430410 5272706 5316492 6645615 7909059 7974738 8860820 10545412 13181765 13291230 15818118 15949476 19936845 23727177 26363530 26582460 31636236 39545295 39873690 47454354 52727060 79090590 79747380 94908708 118635885 158181180 237271770 474543540 1168012469473 2336024938946 3504037408419 4672049877892 5840062347365 7008074816838 10512112225257 11680124694730 14016149633676 17520187042095 21024224450514 23360249389460 35040374084190 42048448901028 52560561126285 70080748168380 105121122252570 210242244505140