Search a number
-
+
13143440000 = 2754198647
BaseRepresentation
bin11000011110110100…
…01111101010000000
31020220222200221011002
430033122033222000
5203404210040000
610012113311132
7643464253025
oct141732175200
936828627132
1013143440000
115635147009
1226698654a8
131316014a42
148c982754c
1551dd378d5
hex30f68fa80

13143440000 has 160 divisors (see below), whose sum is σ = 34445848800. Its totient is φ = 4980096000.

The previous prime is 13143439997. The next prime is 13143440003. The reversal of 13143440000 is 4434131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13143439997) and next prime (13143440003).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (13143440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1515677 + ... + 1524323.

It is an arithmetic number, because the mean of its divisors is an integer number (215286555).

Almost surely, 213143440000 is an apocalyptic number.

13143440000 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 13143440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17222924400).

13143440000 is an abundant number, since it is smaller than the sum of its proper divisors (21302408800).

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

13143440000 is an frugal number, since it uses more digits than its factorization.

13143440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8700 (or 8673 counting only the distinct ones).

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

Adding to 13143440000 its reverse (4434131), we get a palindrome (13147874131).

The spelling of 13143440000 in words is "thirteen billion, one hundred forty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 625 640 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2432 2500 3040 3200 3800 4000 4750 5000 6080 7600 8000 8647 9500 10000 11875 12160 15200 16000 17294 19000 20000 23750 30400 34588 38000 40000 43235 47500 60800 69176 76000 80000 86470 95000 138352 152000 164293 172940 190000 216175 276704 304000 328586 345880 380000 432350 553408 657172 691760 760000 821465 864700 1080875 1106816 1314344 1383520 1520000 1642930 1729400 2161750 2628688 2767040 3285860 3458800 4107325 4323500 5257376 5404375 5534080 6571720 6917600 8214650 8647000 10514752 10808750 13143440 13835200 16429300 17294000 20536625 21029504 21617500 26286880 27670400 32858600 34588000 41073250 43235000 52573760 65717200 69176000 82146500 86470000 102683125 105147520 131434400 138352000 164293000 172940000 205366250 262868800 328586000 345880000 410732500 525737600 657172000 691760000 821465000 1314344000 1642930000 2628688000 3285860000 6571720000 13143440000