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34142220110012 = 22729371136407273
BaseRepresentation
bin1111100001101010110101…
…11001101100100010111100
311110212222001000121121120012
413300311122321230202330
513433341231322010022
6200340415215442352
710122460020365510
oct760653271544274
9143788030547505
1034142220110012
11a9736a8191323
1239b4ba85263b8
13160879ca4c821
148606c6b0c140
153e31b6845de2
hex1f0d5ae6c8bc

34142220110012 has 48 divisors (see below), whose sum is σ = 72548240372160. Its totient is φ = 13745982362112.

The previous prime is 34142220109979. The next prime is 34142220110129. The reversal of 34142220110012 is 21001102224143.

It is a self number, because there is not a number n which added to its sum of digits gives 34142220110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568173593 + ... + 568233680.

It is an arithmetic number, because the mean of its divisors is an integer number (1511421674420).

Almost surely, 234142220110012 is an apocalyptic number.

It is an amenable number.

34142220110012 is an abundant number, since it is smaller than the sum of its proper divisors (38406020262148).

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

34142220110012 is a wasteful number, since it uses less digits than its factorization.

34142220110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136407350 (or 1136407348 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 34142220110012 its reverse (21001102224143), we get a palindrome (55143322334155).

The spelling of 34142220110012 in words is "thirty-four trillion, one hundred forty-two billion, two hundred twenty million, one hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 259 406 518 812 1036 1073 2146 4292 7511 15022 30044 1136407273 2272814546 4545629092 7954850911 15909701822 31819403644 32955810917 42047069101 65911621834 84094138202 131823243668 168188276404 230690676419 294329483707 461381352838 588658967414 922762705676 1177317934828 1219365003929 2438730007858 4877460015716 8535555027503 17071110055006 34142220110012