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142333035010313 = 727313715118110627
BaseRepresentation
bin100000010111001101111101…
…111111011101100100001001
3200122221220102221012211010212
4200113031331333131210021
5122123441023430312223
61222414521004050505
741660136202465100
oct4027157577354411
9618856387184125
10142333035010313
1141396112715544
1213b69119533a35
136155c41b8a644
142720d54445037
15116c61ee5e278
hex81737dfdd909

142333035010313 has 96 divisors (see below), whose sum is σ = 171140258435328. Its totient is φ = 117992464128000.

The previous prime is 142333035010303. The next prime is 142333035010333. The reversal of 142333035010313 is 313010530333241.

It is not a de Polignac number, because 142333035010313 - 28 = 142333035010057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 142333035010313.

It is not an unprimeable number, because it can be changed into a prime (142333035010303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13393523906 + ... + 13393534532.

It is an arithmetic number, because the mean of its divisors is an integer number (1782711025368).

Almost surely, 2142333035010313 is an apocalyptic number.

It is an amenable number.

142333035010313 is a deficient number, since it is larger than the sum of its proper divisors (28807223425015).

142333035010313 is a wasteful number, since it uses less digits than its factorization.

142333035010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11183 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 32.

Adding to 142333035010313 its reverse (313010530333241), we get a palindrome (455343565343554).

The spelling of 142333035010313 in words is "one hundred forty-two trillion, three hundred thirty-three billion, thirty-five million, ten thousand, three hundred thirteen".

Divisors: 1 7 49 73 137 151 181 511 959 1057 1267 3577 6713 7399 8869 10001 10627 11023 13213 20687 24797 27331 70007 74389 77161 92491 144809 173579 191317 490049 520723 540127 647437 775771 1013663 1215053 1339219 1455899 1510151 1604677 1810181 1923487 1995163 3744347 5430397 10191293 10571057 11232739 12671267 13464409 13966141 26210429 38012779 71339051 73997399 78629173 88698869 94250863 97762987 106280627 117141421 140414551 183473003 219840749 263517719 273337331 290446537 743964389 819989947 982901857 1538885243 1844624033 1913361317 2033125759 5207750723 5739929629 6880312999 10772196701 12912368231 13393529219 14231880313 16048374677 19236793487 21202597201 39791175569 112338622739 134657554409 148418180407 278538228983 786370359173 942602880863 1038927262849 1949767602881 2904755816537 20333290715759 142333035010313