Search a number
-
+
141930000 = 2432541983
BaseRepresentation
bin10000111010110…
…10111000010000
3100220001210100200
420131122320100
5242313230000
622030015200
73342246042
oct1035327020
9326053320
10141930000
1173130123
123b647500
1323534964
1414bc7a92
15c6d8500
hex875ae10

141930000 has 300 divisors, whose sum is σ = 528768240. Its totient is φ = 35424000.

The previous prime is 141929969. The next prime is 141930011. The reversal of 141930000 is 39141.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1709959 + ... + 1710041.

Almost surely, 2141930000 is an apocalyptic number.

141930000 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 141930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384120).

141930000 is an abundant number, since it is smaller than the sum of its proper divisors (386838240).

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

141930000 is a wasteful number, since it uses less digits than its factorization.

141930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 141930000 is about 11913.4377909989. The cubic root of 141930000 is about 521.6246034852.

Adding to 141930000 its reverse (39141), we get a palindrome (141969141).

The spelling of 141930000 in words is "one hundred forty-one million, nine hundred thirty thousand".