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141242852300 = 225211229034021
BaseRepresentation
bin1000001110001010111…
…0101110001111001100
3111111120110100022120212
42003202232232033030
54303231132233200
6144515220301552
713130062302254
oct2034256561714
9444513308525
10141242852300
115499a9a9500
1223459b418b8
131041c20b364
146b9c714964
153a19dc4035
hex20e2bae3cc

141242852300 has 108 divisors (see below), whose sum is σ = 337093247568. Its totient is φ = 51330576000.

The previous prime is 141242852293. The next prime is 141242852329. The reversal of 141242852300 is 3258242141.

141242852300 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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35124290 + ... + 35128310.

Almost surely, 2141242852300 is an apocalyptic number.

141242852300 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 141242852300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168546623784).

141242852300 is an abundant number, since it is smaller than the sum of its proper divisors (195850395268).

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

141242852300 is a wasteful number, since it uses less digits than its factorization.

141242852300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 141242852300 in words is "one hundred forty-one billion, two hundred forty-two million, eight hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 2903 3025 4021 5806 6050 8042 11612 12100 14515 16084 20105 29030 31933 40210 44231 58060 63866 72575 80420 88462 100525 127732 145150 159665 176924 201050 221155 290300 319330 351263 402100 442310 486541 638660 702526 798325 884620 973082 1105775 1405052 1596650 1756315 1946164 2211550 2432705 3193300 3512630 4423100 4865410 7025260 8781575 9730820 11672963 12163525 17563150 23345926 24327050 35126300 46691852 48654100 58364815 116729630 128402593 233459260 256805186 291824075 513610372 583648150 642012965 1167296300 1284025930 1412428523 2568051860 2824857046 3210064825 5649714092 6420129650 7062142615 12840259300 14124285230 28248570460 35310713075 70621426150 141242852300