Search a number
-
+
141554353050 = 2325211172531867
BaseRepresentation
bin1000001111010101001…
…1000000001110011010
3111112101011111012021200
42003311103000032122
54304400403244200
6145010145015030
713140564101565
oct2036523001632
9445334435250
10141554353050
115503a818640
1223526324476
131046b904b26
146bcbc3d4dc
153a37405800
hex20f54c039a

141554353050 has 432 divisors, whose sum is σ = 449279449632. Its totient is φ = 31671244800.

The previous prime is 141554353027. The next prime is 141554353117. The reversal of 141554353050 is 50353455141.

141554353050 is a `hidden beast` number, since 1 + 4 + 1 + 554 + 3 + 53 + 0 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141554352996 and 141554353014.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 75818217 + ... + 75820083.

It is an arithmetic number, because the mean of its divisors is an integer number (1039998726).

Almost surely, 2141554353050 is an apocalyptic number.

141554353050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141554353050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224639724816).

141554353050 is an abundant number, since it is smaller than the sum of its proper divisors (307725096582).

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

141554353050 is a wasteful number, since it uses less digits than its factorization.

141554353050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 141554353050 in words is "one hundred forty-one billion, five hundred fifty-four million, three hundred fifty-three thousand, fifty".