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341214134414112 = 2534711854102191
BaseRepresentation
bin100110110010101010001101…
…1010001100010101100100000
31122202010202022200222100020000
41031211110123101202230200
5324210423021402222422
63205411335342420000
7131604623224012221
oct11545243321425440
91582122280870200
10341214134414112
11997a3113496163
1232329703291600
131185147c698b0b
146038bd0701248
15296ab6909acac
hex136551b462b20

341214134414112 has 120 divisors (see below), whose sum is σ = 1017635112692352. Its totient is φ = 112136100451200.

The previous prime is 341214134414039. The next prime is 341214134414113. The reversal of 341214134414112 is 211414431412143.

341214134414112 is a `hidden beast` number, since 3 + 4 + 1 + 214 + 13 + 4 + 414 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (341214134414113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 926867064 + ... + 927235127.

Almost surely, 2341214134414112 is an apocalyptic number.

341214134414112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

341214134414112 is an abundant number, since it is smaller than the sum of its proper divisors (676420978278240).

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

341214134414112 is a wasteful number, since it uses less digits than its factorization.

341214134414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854102284 (or 1854102267 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 341214134414112 its reverse (211414431412143), we get a palindrome (552628565826255).

The spelling of 341214134414112 in words is "three hundred forty-one trillion, two hundred fourteen billion, one hundred thirty-four million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6816 7668 10224 11502 15336 20448 23004 30672 46008 61344 92016 184032 1854102191 3708204382 5562306573 7416408764 11124613146 14832817528 16686919719 22249226292 29665635056 33373839438 44498452584 50060759157 59331270112 66747678876 88996905168 100121518314 131641255561 133495357752 150182277471 177993810336 200243036628 263282511122 266990715504 300364554942 394923766683 400486073256 526565022244 533981431008 600729109884 789847533366 800972146512 1053130044488 1184771300049 1201458219768 1579695066732 1601944293024 2106260088976 2369542600098 2402916439536 3159390133464 3554313900147 4212520177952 4739085200196 4805832879072 6318780266928 7108627800294 9478170400392 10662941700441 12637560533856 14217255600588 18956340800784 21325883400882 28434511201176 37912681601568 42651766801764 56869022402352 85303533603528 113738044804704 170607067207056 341214134414112