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34015131140 = 22519216728211
BaseRepresentation
bin11111101011011101…
…011011011000000100
310020210120110200211212
4133223131123120010
51024130333144030
623343142150552
72312632562354
oct375335333004
9106716420755
1034015131140
1113475722531
126713722458
133291183a43
1419097bab64
15d4138c595
hex7eb75b604

34015131140 has 72 divisors (see below), whose sum is σ = 75843335232. Its totient is φ = 12812304960.

The previous prime is 34015131097. The next prime is 34015131151. The reversal of 34015131140 is 4113151043.

It is a happy 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, 1191635 + ... + 1219845.

It is an arithmetic number, because the mean of its divisors is an integer number (1053379656).

Almost surely, 234015131140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34015131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37921667616).

34015131140 is an abundant number, since it is smaller than the sum of its proper divisors (41828204092).

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

34015131140 is a wasteful number, since it uses less digits than its factorization.

34015131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28425 (or 28404 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 34015131140 its reverse (4113151043), we get a palindrome (38128282183).

The spelling of 34015131140 in words is "thirty-four billion, fifteen million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 167 190 334 361 380 668 722 835 1444 1670 1805 3173 3340 3610 6346 7220 12692 15865 28211 31730 56422 60287 63460 112844 120574 141055 241148 282110 301435 536009 564220 602870 1072018 1205740 2144036 2680045 4711237 5360090 9422474 10184171 10720180 18844948 20368342 23556185 40736684 47112370 50920855 89513503 94224740 101841710 179027006 203683420 358054012 447567515 895135030 1700756557 1790270060 3401513114 6803026228 8503782785 17007565570 34015131140