Search a number
-
+
53024144000 = 27533314009
BaseRepresentation
bin110001011000011111…
…000011101010000000
312001212100021121022012
4301120133003222000
51332043140102000
640205311232052
73554662534052
oct613037035200
9161770247265
1053024144000
112053a824213
12a339818628
135000458949
1427d021d8d2
1515a5107735
hexc587c3a80

53024144000 has 64 divisors (see below), whose sum is σ = 131831317800. Its totient is φ = 21209651200.

The previous prime is 53024143979. The next prime is 53024144009. The reversal of 53024144000 is 44142035.

It can be written as a sum of positive squares in 4 ways, for example, as 3892761664 + 49131382336 = 62392^2 + 221656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (53024144009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1641005 + ... + 1673004.

Almost surely, 253024144000 is an apocalyptic number.

53024144000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53024144000 is an abundant number, since it is smaller than the sum of its proper divisors (78807173800).

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

53024144000 is an equidigital number, since it uses as much as digits as its factorization.

53024144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314038 (or 3314016 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 53024144000 its reverse (44142035), we get a palindrome (53068286035).

The spelling of 53024144000 in words is "fifty-three billion, twenty-four million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 3314009 6628018 13256036 16570045 26512072 33140090 53024144 66280180 82850225 106048288 132560360 165700450 212096576 265120720 331400900 414251125 424193152 530241440 662801800 828502250 1060482880 1325603600 1657004500 2120965760 2651207200 3314009000 5302414400 6628018000 10604828800 13256036000 26512072000 53024144000