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34142103212140 = 22571159375766049
BaseRepresentation
bin1111100001101010100111…
…11011110001000001101100
311110212221201212122120211101
413300311103323301001230
513433341011410242030
6200340355442132444
710122454100644420
oct760652373610154
9143787655576741
1034142103212140
11a9736481a9210
1239b4b75351124
1316087817708a1
148606b539cb80
153e31ab4547ca
hex1f0d53ef106c

34142103212140 has 96 divisors (see below), whose sum is σ = 90905322816000. Its totient is φ = 10461326776320.

The previous prime is 34142103212137. The next prime is 34142103212149. The reversal of 34142103212140 is 4121230124143.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 34142103212099 and 34142103212108.

It is not an unprimeable number, because it can be changed into a prime (34142103212149) 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, 187792165 + ... + 187973884.

It is an arithmetic number, because the mean of its divisors is an integer number (946930446000).

Almost surely, 234142103212140 is an apocalyptic number.

It is an amenable number.

34142103212140 is an abundant number, since it is smaller than the sum of its proper divisors (56763219603860).

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

34142103212140 is a wasteful number, since it uses less digits than its factorization.

34142103212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375766135 (or 375766133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 34142103212140 its reverse (4121230124143), we get a palindrome (38263333336283).

The spelling of 34142103212140 in words is "thirty-four trillion, one hundred forty-two billion, one hundred three million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 220 236 295 308 385 413 590 649 770 826 1180 1298 1540 1652 2065 2596 3245 4130 4543 6490 8260 9086 12980 18172 22715 45430 90860 375766049 751532098 1503064196 1878830245 2630362343 3757660490 4133426539 5260724686 7515320980 8266853078 10521449372 13151811715 16533706156 20667132695 22170196891 26303623430 28933985773 41334265390 44340393782 52607246860 57867971546 82668530780 88680787564 110850984455 115735943092 144669928865 155191378237 221701968910 243872165801 289339857730 310382756474 443403937820 487744331602 578679715460 620765512948 775956891185 975488663204 1219360829005 1551913782370 1707105160607 2438721658010 3103827564740 3414210321214 4877443316020 6828420642428 8535525803035 17071051606070 34142103212140