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14143133000 = 2353177910531
BaseRepresentation
bin11010010101111111…
…10001010101001000
31100111122210121010202
431022333301111020
5212431120224000
610255224231332
71010323434623
oct151277612510
940448717122
1014143133000
115aa8480177
1228a860b548
131445175269
149824d4dba
1557b9a7dd5
hex34aff1548

14143133000 has 128 divisors (see below), whose sum is σ = 35488627200. Its totient is φ = 5256576000.

The previous prime is 14143132987. The next prime is 14143133009. The reversal of 14143133000 is 33134141.

It is a super-2 number, since 2×141431330002 (a number of 21 digits) contains 22 as substring.

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 (14143133009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337735 + ... + 1348265.

It is an arithmetic number, because the mean of its divisors is an integer number (277254900).

Almost surely, 214143133000 is an apocalyptic number.

14143133000 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 14143133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744313600).

14143133000 is an abundant number, since it is smaller than the sum of its proper divisors (21345494200).

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

14143133000 is a wasteful number, since it uses less digits than its factorization.

14143133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14143133000 its reverse (33134141), we get a palindrome (14176267141).

The spelling of 14143133000 in words is "fourteen billion, one hundred forty-three million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 79 85 100 125 136 158 170 200 250 316 340 395 425 500 632 680 790 850 1000 1343 1580 1700 1975 2125 2686 3160 3400 3950 4250 5372 6715 7900 8500 9875 10531 10744 13430 15800 17000 19750 21062 26860 33575 39500 42124 52655 53720 67150 79000 84248 105310 134300 167875 179027 210620 263275 268600 335750 358054 421240 526550 671500 716108 831949 895135 1053100 1316375 1343000 1432216 1663898 1790270 2106200 2632750 3327796 3580540 4159745 4475675 5265500 6655592 7161080 8319490 8951350 10531000 14143133 16638980 17902700 20798725 22378375 28286266 33277960 35805400 41597450 44756750 56572532 70715665 83194900 89513500 103993625 113145064 141431330 166389800 179027000 207987250 282862660 353578325 415974500 565725320 707156650 831949000 1414313300 1767891625 2828626600 3535783250 7071566500 14143133000