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13144445300 = 22527148912611
BaseRepresentation
bin11000011110111100…
…00101000101110100
31020221001121000011102
430033132011011310
5203404434222200
610012151025232
7643505640650
oct141736050564
936831530142
1013144445300
115635773338
12266a06b218
1313162a74ac
148c9a09a60
1551de856d5
hex30f785174

13144445300 has 72 divisors (see below), whose sum is σ = 32622703680. Its totient is φ = 4503283200.

The previous prime is 13144445299. The next prime is 13144445383. The reversal of 13144445300 is 354444131.

It is a happy number.

13144445300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1035995 + ... + 1048605.

Almost surely, 213144445300 is an apocalyptic number.

13144445300 is a gapful number since it is divisible by the number (10) 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 13144445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311351840).

13144445300 is an abundant number, since it is smaller than the sum of its proper divisors (19478258380).

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

13144445300 is a wasteful number, since it uses less digits than its factorization.

13144445300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14121 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 13144445300 its reverse (354444131), we get a palindrome (13498889431).

The spelling of 13144445300 in words is "thirteen billion, one hundred forty-four million, four hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1489 2978 5956 7445 10423 12611 14890 20846 25222 29780 37225 41692 50444 52115 63055 74450 88277 104230 126110 148900 176554 208460 252220 260575 315275 353108 441385 521150 630550 882770 1042300 1261100 1765540 2206925 4413850 8827700 18777779 37555558 75111116 93888895 131444453 187777790 262888906 375555580 469444475 525777812 657222265 938888950 1314444530 1877777900 2628889060 3286111325 6572222650 13144445300