Search a number
-
+
141443455353200 = 245271113230788513
BaseRepresentation
bin100000001010010001011110…
…111010011000000101110000
3200112210212021121011000001222
4200022101132322120011300
5122014402144032300300
61220454120520444212
741535644452246010
oct4012213672300560
9615725247130058
10141443455353200
114108291813a580
1213a44833019668
1360c00a3203800
1426cdc84d5dc40
151154407671785
hex80a45ee98170

141443455353200 has 720 divisors, whose sum is σ = 460265469624576. Its totient is φ = 40562004787200.

The previous prime is 141443455353191. The next prime is 141443455353271. The reversal of 141443455353200 is 2353554344141.

141443455353200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1597952144 + ... + 1598040656.

Almost surely, 2141443455353200 is an apocalyptic number.

141443455353200 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 141443455353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230132734812288).

141443455353200 is an abundant number, since it is smaller than the sum of its proper divisors (318822014271376).

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

141443455353200 is a wasteful number, since it uses less digits than its factorization.

141443455353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88882 (or 88858 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 141443455353200 in words is "one hundred forty-one trillion, four hundred forty-three billion, four hundred fifty-five million, three hundred fifty-three thousand, two hundred".