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34142310103132 = 22711223942164951
BaseRepresentation
bin1111100001101011000000…
…10000111111100001011100
311110212222021021221201220201
413300311200100333201130
513433341422341300012
6200340432152353244
710122462162332230
oct760654020774134
9143788237851821
1034142310103132
11a973743a68500
1239b50126a5824
1316087b559b5aa
148606d4a565c0
153e31be6c0857
hex1f0d6043f85c

34142310103132 has 72 divisors (see below), whose sum is σ = 75370694999040. Its totient is φ = 13246540692000.

The previous prime is 34142310103093. The next prime is 34142310103157. The reversal of 34142310103132 is 23130101324143.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34142310103132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20272744 + ... + 21892207.

It is an arithmetic number, because the mean of its divisors is an integer number (1046815208320).

Almost surely, 234142310103132 is an apocalyptic number.

It is an amenable number.

34142310103132 is an abundant number, since it is smaller than the sum of its proper divisors (41228384895908).

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

34142310103132 is a wasteful number, since it uses less digits than its factorization.

34142310103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42165223 (or 42165210 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 34142310103132 its reverse (23130101324143), we get a palindrome (57272411427275).

The spelling of 34142310103132 in words is "thirty-four trillion, one hundred forty-two billion, three hundred ten million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 239 242 308 478 484 847 956 1673 1694 2629 3346 3388 5258 6692 10516 18403 28919 36806 57838 73612 115676 202433 404866 809732 42164951 84329902 168659804 295154657 463814461 590309314 927628922 1180618628 1855257844 3246701227 5101959071 6493402454 10077423289 10203918142 12986804908 20154846578 20407836284 35713713497 40309693156 70541963023 71427426994 110851656179 141083926046 142854853988 221703312358 282167852092 443406624716 775961593253 1219368217969 1551923186506 2438736435938 3103846373012 4877472871876 8535577525783 17071155051566 34142310103132