Search a number
-
+
141100730887200 = 253527223113461653
BaseRepresentation
bin100000000101010010010010…
…111100010010110000100000
3200111121002122112121020002020
4200011102102330102300200
5121443243244101342300
61220032440402021440
741502122435330100
oct4005222274226040
9614532575536066
10141100730887200
1140a60536108647
12139aa325347880
136096984a50ab6
1426bb45188d200
15114a5492118a0
hex805492f12c20

141100730887200 has 864 divisors, whose sum is σ = 562431694317696. Its totient is φ = 30576282992640.

The previous prime is 141100730887183. The next prime is 141100730887201. The reversal of 141100730887200 is 2788037001141.

141100730887200 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 (42).

It is not an unprimeable number, because it can be changed into a prime (141100730887201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 305411574 + ... + 305873226.

It is an arithmetic number, because the mean of its divisors is an integer number (650962609164).

Almost surely, 2141100730887200 is an apocalyptic number.

141100730887200 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 141100730887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281215847158848).

141100730887200 is an abundant number, since it is smaller than the sum of its proper divisors (421330963430496).

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

141100730887200 is a wasteful number, since it uses less digits than its factorization.

141100730887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461826 (or 461806 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

Adding to 141100730887200 its reverse (2788037001141), we get a palindrome (143888767888341).

The spelling of 141100730887200 in words is "one hundred forty-one trillion, one hundred billion, seven hundred thirty million, eight hundred eighty-seven thousand, two hundred".