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141143031334134 = 233431094931113093
BaseRepresentation
bin100000000101111001101100…
…001111101100010011110110
3200111202010211112100120112000
4200011321230033230103312
5121444441412010143014
61220104114035240130
741505150615233214
oct4005715417542366
9614663745316460
10141143031334134
1140a774726624a5
12139b656b749046
13609a9665a3a5b
1426bd5057a3cb4
15114b6c2b57509
hex805e6c3ec4f6

141143031334134 has 128 divisors (see below), whose sum is σ = 323958396326400. Its totient is φ = 45522316586880.

The previous prime is 141143031334073. The next prime is 141143031334183. The reversal of 141143031334134 is 431433130341141.

141143031334134 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 303 + 1 + 3 + 341 + 3 + 4 = 666.

141143031334134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1247969692 + ... + 1248082784.

It is an arithmetic number, because the mean of its divisors is an integer number (2530924971300).

Almost surely, 2141143031334134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141143031334134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161979198163200).

141143031334134 is an abundant number, since it is smaller than the sum of its proper divisors (182815364992266).

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

141143031334134 is a wasteful number, since it uses less digits than its factorization.

141143031334134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118187 (or 118181 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 141143031334134 its reverse (431433130341141), we get a palindrome (572576161675275).

The spelling of 141143031334134 in words is "one hundred forty-one trillion, one hundred forty-three billion, thirty-one million, three hundred thirty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 109 129 218 258 327 387 654 774 981 1161 1962 2322 2943 4687 4931 5886 9374 9862 14061 14793 28122 29586 42183 44379 84366 88758 113093 126549 133137 212033 226186 253098 266274 339279 424066 537479 636099 678558 1017837 1074958 1272198 1612437 1908297 2035674 3053511 3224874 3816594 4837311 4862999 5724891 6107022 9674622 9725998 11449782 12327137 14511933 14588997 23111597 24654274 29023866 29177994 36981411 43766991 46223194 69334791 73962822 87533982 110944233 131300973 138669582 208004373 221888466 262601946 332832699 416008746 530066891 557661583 624013119 665665398 1060133782 1115323166 1248026238 1590200673 1672984749 3180401346 3345969498 4770602019 5018954247 9541204038 10037908494 14311806057 15056862741 23979448069 28623612114 30113725482 47958896138 60785112547 71938344207 121570225094 143876688414 182355337641 215815032621 364710675282 431630065242 547066012923 647445097863 1094132025846 1294890195726 1641198038769 2613759839521 3282396077538 5227519679042 7841279518563 15682559037126 23523838555689 47047677111378 70571515667067 141143031334134