Search a number
-
+
141205365300 = 223524119957689
BaseRepresentation
bin1000001110000001111…
…1101110001000110100
3111111110211210210002110
42003200133232020310
54303142033142200
6144511401011020
713126125541566
oct2034037561064
9444424723073
10141205365300
1154980824a0a
1223449483a70
13104145145bc
146b97757336
153a1696bb50
hex20e07ee234

141205365300 has 144 divisors (see below), whose sum is σ = 420629328000. Its totient is φ = 36551116800.

The previous prime is 141205365293. The next prime is 141205365317. The reversal of 141205365300 is 3563502141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418856 + ... + 2476544.

It is an arithmetic number, because the mean of its divisors is an integer number (2921037000).

Almost surely, 2141205365300 is an apocalyptic number.

141205365300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141205365300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210314664000).

141205365300 is an abundant number, since it is smaller than the sum of its proper divisors (279423962700).

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

141205365300 is a wasteful number, since it uses less digits than its factorization.

141205365300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57946 (or 57939 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 141205365300 its reverse (3563502141), we get a palindrome (144768867441).

The spelling of 141205365300 in words is "one hundred forty-one billion, two hundred five million, three hundred sixty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 199 205 246 300 398 410 492 597 615 796 820 995 1025 1194 1230 1990 2050 2388 2460 2985 3075 3980 4100 4975 5970 6150 8159 9950 11940 12300 14925 16318 19900 24477 29850 32636 40795 48954 57689 59700 81590 97908 115378 122385 163180 173067 203975 230756 244770 288445 346134 407950 489540 576890 611925 692268 815900 865335 1153780 1223850 1442225 1730670 2365249 2447700 2884450 3461340 4326675 4730498 5768900 7095747 8653350 9460996 11480111 11826245 14191494 17306700 22960222 23652490 28382988 34440333 35478735 45920444 47304980 57400555 59131225 68880666 70957470 114801110 118262450 137761332 141914940 172201665 177393675 229602220 236524900 287002775 344403330 354787350 470684551 574005550 688806660 709574700 861008325 941369102 1148011100 1412053653 1722016650 1882738204 2353422755 2824107306 3444033300 4706845510 5648214612 7060268265 9413691020 11767113775 14120536530 23534227550 28241073060 35301341325 47068455100 70602682650 141205365300