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146044340200 = 235211597315413
BaseRepresentation
bin1000100000000011101…
…0111100011111101000
3111221222002012011202001
42020000322330133220
54343044322341300
6151031501020344
713360054260253
oct2100072743750
9457862164661
10146044340200
1156a3424a420
1224379b546b4
1310a05bb3c65
1470d62a009a
153beb6b716a
hex2200ebc7e8

146044340200 has 192 divisors, whose sum is σ = 381884932800. Its totient is φ = 51488409600.

The previous prime is 146044340191. The next prime is 146044340201. The reversal of 146044340200 is 2043440641.

It is not an unprimeable number, because it can be changed into a prime (146044340201) 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 47 ways as a sum of consecutive naturals, for example, 9467694 + ... + 9483106.

It is an arithmetic number, because the mean of its divisors is an integer number (1988984025).

Almost surely, 2146044340200 is an apocalyptic number.

146044340200 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 146044340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190942466400).

146044340200 is an abundant number, since it is smaller than the sum of its proper divisors (235840592600).

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

146044340200 is a wasteful number, since it uses less digits than its factorization.

146044340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 15563 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 146044340200 its reverse (2043440641), we get a palindrome (148087780841).

The spelling of 146044340200 in words is "one hundred forty-six billion, forty-four million, three hundred forty thousand, two hundred".