Search a number
-
+
141412372195500 = 2235537323434773
BaseRepresentation
bin100000001001110100100010…
…001101100010100010101100
3200112200220001100200222200000
4200021310202031202202230
5122013400014240224000
61220431540312504300
741533464260622000
oct4011644215424254
9615626040628600
10141412372195500
114107071754509a
1213a3a7b93ab090
1360ba18b606ac3
1426cc576b1c700
1511536d88dc000
hex809d223628ac

141412372195500 has 4608 divisors, whose sum is σ = 596377003622400. Its totient is φ = 29151079372800.

The previous prime is 141412372195483. The next prime is 141412372195651. The reversal of 141412372195500 is 5591273214141.

141412372195500 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 2 + 37 + 21 + 95 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 1937155783464 + ... + 1937155783536.

It is an arithmetic number, because the mean of its divisors is an integer number (129422092800).

Almost surely, 2141412372195500 is an apocalyptic number.

141412372195500 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 141412372195500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298188501811200).

141412372195500 is an abundant number, since it is smaller than the sum of its proper divisors (454964631426900).

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

141412372195500 is a wasteful number, since it uses less digits than its factorization.

141412372195500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 141412372195500 in words is "one hundred forty-one trillion, four hundred twelve billion, three hundred seventy-two million, one hundred ninety-five thousand, five hundred".