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141448201216 = 21072232732
BaseRepresentation
bin1000001110111011111…
…0000100010000000000
3111112002202202010100021
42003232332010100000
54304141214414331
6144551433503224
713135134605200
oct2035676042000
9445082663307
10141448201216
1154a95905153
12234b6871b14
13104529191aa
146bbbaca400
153a2ce38211
hex20eef84400

141448201216 has 297 divisors, whose sum is σ = 348620400261. Its totient is φ = 57190662144.

The previous prime is 141448201199. The next prime is 141448201217. The reversal of 141448201216 is 612102844141.

The square root of 141448201216 is 376096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80292889600 + 61155311616 = 283360^2 + 247296^2 .

It is not an unprimeable number, because it can be changed into a prime (141448201217) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1937646556 + ... + 1937646628.

Almost surely, 2141448201216 is an apocalyptic number.

141448201216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141448201216 is the 376096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141448201216

141448201216 is an abundant number, since it is smaller than the sum of its proper divisors (207172199045).

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

141448201216 is an frugal number, since it uses more digits than its factorization.

141448201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 141448201216 in words is "one hundred forty-one billion, four hundred forty-eight million, two hundred one thousand, two hundred sixteen".