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144542345000 = 235428908469
BaseRepresentation
bin1000011010011101100…
…1010010011100101000
3111211002101220220200012
42012213121102130220
54332010320020000
6150222444031052
713304615442434
oct2064731223450
9454071826605
10144542345000
1156333427179
122401ab32488
13108269737c1
146dd29db9c4
153b5e8c6735
hex21a7652728

144542345000 has 40 divisors (see below), whose sum is σ = 338662726050. Its totient is φ = 57816936000.

The previous prime is 144542344993. The next prime is 144542345029. The reversal of 144542345000 is 543245441.

144542345000 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 5 ways, for example, as 4050813316 + 140491531684 = 63646^2 + 374822^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 9 ways as a sum of consecutive naturals, for example, 14449235 + ... + 14459234.

Almost surely, 2144542345000 is an apocalyptic number.

144542345000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144542345000 is an abundant number, since it is smaller than the sum of its proper divisors (194120381050).

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

144542345000 is an equidigital number, since it uses as much as digits as its factorization.

144542345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28908495 (or 28908476 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 144542345000 in words is "one hundred forty-four billion, five hundred forty-two million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 28908469 57816938 115633876 144542345 231267752 289084690 578169380 722711725 1156338760 1445423450 2890846900 3613558625 5781693800 7227117250 14454234500 18067793125 28908469000 36135586250 72271172500 144542345000