Search a number
-
+
142024301413341 = 317233719727165883
BaseRepresentation
bin100000010010101110011100…
…000010010000001111011101
3200121212101112202111002122020
4200102232130002100033131
5122103411232130211331
61222021021403410353
741625626405301534
oct4022563402201735
9617771482432566
10142024301413341
1141287193644606
1213b193172239b9
136132aac845299
14271002743731b
1511645a0b97c96
hex812b9c0903dd

142024301413341 has 64 divisors (see below), whose sum is σ = 214889350422528. Its totient is φ = 82930341086208.

The previous prime is 142024301413231. The next prime is 142024301413363. The reversal of 142024301413341 is 143314103420241.

It is a happy number.

It is not a de Polignac number, because 142024301413341 - 27 = 142024301413213 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142024301414341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 856088586 + ... + 856254468.

It is an arithmetic number, because the mean of its divisors is an integer number (3357646100352).

Almost surely, 2142024301413341 is an apocalyptic number.

It is an amenable number.

142024301413341 is a deficient number, since it is larger than the sum of its proper divisors (72865049009187).

142024301413341 is a wasteful number, since it uses less digits than its factorization.

142024301413341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185690.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 142024301413341 its reverse (143314103420241), we get a palindrome (285338404833582).

The spelling of 142024301413341 in words is "one hundred forty-two trillion, twenty-four billion, three hundred one million, four hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 17 23 37 51 69 111 391 629 851 1173 1887 2553 14467 19727 43401 59181 165883 335359 453721 497649 729899 1006077 1361163 2189697 2820011 3815309 6137671 7713257 8460033 11445927 12408283 16787677 18413013 23139771 37224849 50363031 64860253 104340407 141166433 194580759 285390509 313021221 423499299 856171527 2399829361 3272373941 7199488083 9817121823 55630356997 75264600643 121077835817 166891070991 225793801929 363233507451 1279498210931 2058323208889 2784790223791 3838494632793 6174969626667 8354370671373 47341433804447 142024301413341