Search a number
-
+
143379984384 = 212357131583
BaseRepresentation
bin1000010110001000011…
…1001111000000000000
3111201002101201212200000
42011202013033000000
54322120234000014
6145511242400000
713234042521120
oct2054207170000
9451071655600
10143379984384
115589729946a
1223955800000
131069cbca560
146d224a8c80
153ae2823509
hex21621cf000

143379984384 has 624 divisors, whose sum is σ = 528946209792. Its totient is φ = 37790613504.

The previous prime is 143379984317. The next prime is 143379984403. The reversal of 143379984384 is 483489973341.

143379984384 is a `hidden beast` number, since 1 + 43 + 3 + 79 + 98 + 438 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90574057 + ... + 90575639.

It is an arithmetic number, because the mean of its divisors is an integer number (847670208).

Almost surely, 2143379984384 is an apocalyptic number.

143379984384 is a gapful number since it is divisible by the number (14) 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 143379984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264473104896).

143379984384 is an abundant number, since it is smaller than the sum of its proper divisors (385566225408).

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

143379984384 is an equidigital number, since it uses as much as digits as its factorization.

143379984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1608 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 143379984384 in words is "one hundred forty-three billion, three hundred seventy-nine million, nine hundred eighty-four thousand, three hundred eighty-four".