Search a number
-
+
147344451846144 = 214371747717549
BaseRepresentation
bin100001100000001001001101…
…101101100100000000000000
3201022200222210012010022001120
4201200021031231210000000
5123303042414133034034
61241213035015032240
743015166605655010
oct4140111555440000
9638628705108046
10147344451846144
1142a48481894813
121463841296b680
13642a6a3333967
14285571c1a5c40
151207b79b0bc49
hex86024db64000

147344451846144 has 960 divisors, whose sum is σ = 492470079897600. Its totient is φ = 38227767459840.

The previous prime is 147344451846133. The next prime is 147344451846199. The reversal of 147344451846144 is 441648154443741.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19518402882 + ... + 19518410430.

It is an arithmetic number, because the mean of its divisors is an integer number (512989666560).

Almost surely, 2147344451846144 is an apocalyptic number.

147344451846144 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 147344451846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246235039948800).

147344451846144 is an abundant number, since it is smaller than the sum of its proper divisors (345125628051456).

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

147344451846144 is an equidigital number, since it uses as much as digits as its factorization.

147344451846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7696 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 60.

The spelling of 147344451846144 in words is "one hundred forty-seven trillion, three hundred forty-four billion, four hundred fifty-one million, eight hundred forty-six thousand, one hundred forty-four".