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13144430000 = 245413101111
BaseRepresentation
bin11000011110111100…
…00001010110110000
31020221001120020011202
430033132001112300
5203404433230000
610012150430332
7643505545232
oct141736012660
936831506152
1013144430000
115635762899
12266a0623a8
1313162a0540
148c9a04252
1551de80dd5
hex30f7815b0

13144430000 has 100 divisors (see below), whose sum is σ = 34272316848. Its totient is φ = 4853280000.

The previous prime is 13144429993. The next prime is 13144430021. The reversal of 13144430000 is 3444131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79445 + ... + 180555.

Almost surely, 213144430000 is an apocalyptic number.

13144430000 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 13144430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136158424).

13144430000 is an abundant number, since it is smaller than the sum of its proper divisors (21127886848).

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

13144430000 is a wasteful number, since it uses less digits than its factorization.

13144430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101152 (or 101131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13144430000 its reverse (3444131), we get a palindrome (13147874131).

The spelling of 13144430000 in words is "thirteen billion, one hundred forty-four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 101111 130000 202222 404444 505555 808888 1011110 1314443 1617776 2022220 2527775 2628886 4044440 5055550 5257772 6572215 8088880 10111100 10515544 12638875 13144430 20222200 21031088 25277750 26288860 32861075 40444400 50555500 52577720 63194375 65722150 101111000 105155440 126388750 131444300 164305375 202222000 252777500 262888600 328610750 505555000 525777200 657221500 821526875 1011110000 1314443000 1643053750 2628886000 3286107500 6572215000 13144430000