Search a number
-
+
143954387136 = 263472925389
BaseRepresentation
bin1000011000010001011…
…0011010000011000000
3111202120102120120010000
42012010112122003000
54324304310342021
6150044242040000
713254216046530
oct2060426320300
9452512516100
10143954387136
115606155378a
1223a96049000
1310761c03141
146d788ab4c0
153b27e86b26
hex218459a0c0

143954387136 has 840 divisors, whose sum is σ = 520395464160. Its totient is φ = 38524502016.

The previous prime is 143954387123. The next prime is 143954387191. The reversal of 143954387136 is 631783459341.

143954387136 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 543 + 87 + 13 + 6 = 666.

143954387136 is digitally balanced in base 7, 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1617464980 + ... + 1617465068.

Almost surely, 2143954387136 is an apocalyptic number.

143954387136 is a gapful number since it is divisible by the number (16) 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 143954387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260197732080).

143954387136 is an abundant number, since it is smaller than the sum of its proper divisors (376441077024).

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

143954387136 is an equidigital number, since it uses as much as digits as its factorization.

143954387136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 183 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 143954387136 in words is "one hundred forty-three billion, nine hundred fifty-four million, three hundred eighty-seven thousand, one hundred thirty-six".