Search a number
-
+
141305557400 = 23527196018839
BaseRepresentation
bin1000001110011001110…
…1111011000110011000
3111111201211100001210222
42003212131323012120
54303343210314100
6144525340255212
713131453264050
oct2034635730630
9444654301728
10141305557400
1154a223377a7
1223476b41508
131042c1c4677
146ba6b98560
153a2065d485
hex20e677b198

141305557400 has 192 divisors, whose sum is σ = 395932992000. Its totient is φ = 45816192000.

The previous prime is 141305557399. The next prime is 141305557409. The reversal of 141305557400 is 4755503141.

It is a happy number.

141305557400 is digitally balanced in base 2, 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 (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141305557409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15982181 + ... + 15991019.

It is an arithmetic number, because the mean of its divisors is an integer number (2062151000).

Almost surely, 2141305557400 is an apocalyptic number.

141305557400 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 141305557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197966496000).

141305557400 is an abundant number, since it is smaller than the sum of its proper divisors (254627434600).

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

141305557400 is a wasteful number, since it uses less digits than its factorization.

141305557400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 141305557400 in words is "one hundred forty-one billion, three hundred five million, five hundred fifty-seven thousand, four hundred".