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14153313000 = 233537364627
BaseRepresentation
bin11010010111001101…
…00110101011101000
31100112100221210110210
431023212212223220
5212441222004000
610300230341120
71010506114131
oct151346465350
940470853423
1014153313000
1160031a35a2
1228ababa7a0
1314472caa28
149839c4c88
1557c819350
hex34b9a6ae8

14153313000 has 128 divisors (see below), whose sum is σ = 44763937920. Its totient is φ = 3722457600.

The previous prime is 14153312981. The next prime is 14153313011. The reversal of 14153313000 is 31335141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186687 + ... + 251313.

It is an arithmetic number, because the mean of its divisors is an integer number (349718265).

Almost surely, 214153313000 is an apocalyptic number.

14153313000 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 14153313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22381968960).

14153313000 is an abundant number, since it is smaller than the sum of its proper divisors (30610624920).

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

14153313000 is a wasteful number, since it uses less digits than its factorization.

14153313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64724 (or 64710 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 14153313000 its reverse (31335141), we get a palindrome (14184648141).

The spelling of 14153313000 in words is "fourteen billion, one hundred fifty-three million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 54750 64627 73000 109500 129254 193881 219000 258508 323135 387762 517016 646270 775524 969405 1292540 1551048 1615675 1938810 2585080 3231350 3877620 4717771 4847025 6462700 7755240 8078375 9435542 9694050 12925400 14153313 16156750 18871084 19388100 23588855 24235125 28306626 32313500 37742168 38776200 47177710 48470250 56613252 64627000 70766565 94355420 96940500 113226504 117944275 141533130 188710840 193881000 235888550 283066260 353832825 471777100 566132520 589721375 707665650 943554200 1179442750 1415331300 1769164125 2358885500 2830662600 3538328250 4717771000 7076656500 14153313000