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148743442900 = 225213114418033
BaseRepresentation
bin1000101010000111001…
…1001101000111010100
3112012221012000210120201
42022201303031013110
54414111310133100
6152155400110244
713514000255323
oct2124163150724
9465835023521
10148743442900
1158099883208
12249b1a65384
1311046145150
1472b093c0ba
153d0862136a
hex22a1ccd1d4

148743442900 has 36 divisors (see below), whose sum is σ = 347601987292. Its totient is φ = 54920655360.

The previous prime is 148743442867. The next prime is 148743442907. The reversal of 148743442900 is 9244347841.

148743442900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1838351376 + 146905091524 = 42876^2 + 383282^2 .

It is a super-2 number, since 2×1487434429002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148743442907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57207717 + ... + 57210316.

Almost surely, 2148743442900 is an apocalyptic number.

148743442900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148743442900 is an abundant number, since it is smaller than the sum of its proper divisors (198858544392).

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

148743442900 is a wasteful number, since it uses less digits than its factorization.

148743442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114418060 (or 114418053 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 148743442900 in words is "one hundred forty-eight billion, seven hundred forty-three million, four hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 114418033 228836066 457672132 572090165 1144180330 1487434429 2288360660 2860450825 2974868858 5720901650 5949737716 7437172145 11441803300 14874344290 29748688580 37185860725 74371721450 148743442900