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340135501112 = 231141639714737
BaseRepresentation
bin1001111001100011010…
…01111101110100111000
31012111221121221201211022
410330301221331310320
521033044142013422
6420131152122012
733400606025201
oct4746151756470
91174847851738
10340135501112
11121283694330
1255b06836308
13260c7ca4834
14126697025a8
158cab00e342
hex4f31a7dd38

340135501112 has 64 divisors (see below), whose sum is σ = 712860553440. Its totient is φ = 150802329600.

The previous prime is 340135501103. The next prime is 340135501151. The reversal of 340135501112 is 211105531043.

It is a super-2 number, since 2×3401355011122 (a number of 24 digits) contains 22 as substring.

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, 23073008 + ... + 23087744.

Almost surely, 2340135501112 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 340135501112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356430276720).

340135501112 is an abundant number, since it is smaller than the sum of its proper divisors (372725052328).

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

340135501112 is a wasteful number, since it uses less digits than its factorization.

340135501112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21192 (or 21188 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 340135501112 in words is "three hundred forty billion, one hundred thirty-five million, five hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1804 3608 6397 12794 14737 25588 29474 51176 58948 70367 117896 140734 162107 262277 281468 324214 524554 562936 604217 648428 1049108 1208434 1296856 2098216 2416868 2885047 4833736 5770094 6646387 11540188 13292774 23080376 26585548 53171096 94272589 188545178 377090356 754180712 1036998479 2073996958 3865176149 4147993916 7730352298 8295987832 15460704596 30921409192 42516937639 85033875278 170067750556 340135501112