Search a number
-
+
147344714496 = 2833729173607
BaseRepresentation
bin1000100100111001101…
…1011110101100000000
3112002022201002000221000
42021032123132230000
54403230221330441
6151404512332000
713434224260050
oct2111633365400
9462281060830
10147344714496
1157541282921
1224681544000
1310b824203c5
1471bac7b560
153c7592d2b6
hex224e6deb00

147344714496 has 576 divisors, whose sum is σ = 518973235200. Its totient is φ = 40345288704.

The previous prime is 147344714483. The next prime is 147344714501. The reversal of 147344714496 is 694417443741.

147344714496 is a `hidden beast` number, since 1 + 4 + 73 + 447 + 1 + 44 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242742225 + ... + 242742831.

It is an arithmetic number, because the mean of its divisors is an integer number (900995200).

Almost surely, 2147344714496 is an apocalyptic number.

147344714496 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 147344714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259486617600).

147344714496 is an abundant number, since it is smaller than the sum of its proper divisors (371628520704).

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

147344714496 is a wasteful number, since it uses less digits than its factorization.

147344714496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 821 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

It can be divided in two parts, 1473 and 44714496, that added together give a square (44715969 = 66872).

The spelling of 147344714496 in words is "one hundred forty-seven billion, three hundred forty-four million, seven hundred fourteen thousand, four hundred ninety-six".