Search a number
-
+
13142303578929 = 37279139258573
BaseRepresentation
bin1011111100111110111001…
…0101100001101100110001
31201112101120201210100020210
42333033232111201230301
53210310414204011204
643541254012054333
72524333351146300
oct277175625415461
951471521710223
1013142303578929
11420768a829878
121583096a643a9
13744410876565
1433613b574437
1517bcdc735389
hexbf3ee561b31

13142303578929 has 72 divisors (see below), whose sum is σ = 20791933119360. Its totient is φ = 7361356137408.

The previous prime is 13142303578871. The next prime is 13142303578933. The reversal of 13142303578929 is 92987530324131.

It is not a de Polignac number, because 13142303578929 - 27 = 13142303578801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13142303578969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 224345487 + ... + 224404059.

It is an arithmetic number, because the mean of its divisors is an integer number (288776848880).

Almost surely, 213142303578929 is an apocalyptic number.

It is an amenable number.

13142303578929 is a deficient number, since it is larger than the sum of its proper divisors (7649629540431).

13142303578929 is an equidigital number, since it uses as much as digits as its factorization.

13142303578929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58947 (or 58801 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 13142303578929 in words is "thirteen trillion, one hundred forty-two billion, three hundred three million, five hundred seventy-eight thousand, nine hundred twenty-nine".

Divisors: 1 3 7 21 49 79 139 147 237 417 553 973 1659 2919 3871 6811 10981 11613 19321 20433 32943 57963 58573 76867 135247 175719 230601 405741 410011 538069 946729 1230033 1526359 1614207 2840187 2870077 4579077 4627267 8141647 8610231 10684513 13881801 24424941 32053539 32390869 56991529 74791591 97172607 170974587 224374773 226736083 398940703 643190113 680208249 1131688933 1196822109 1929570339 3395066799 4502330791 7921822531 13506992373 23765467593 31516315537 55452757717 89403425707 94548946611 166358273151 268210277121 625823979949 1877471939847 4380767859643 13142303578929