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4143041142345 = 3357157271103043
BaseRepresentation
bin111100010010100000011…
…111101101111001001001
3112200001220122211121201000
4330102200133231321021
51020334422013023340
612451141542045213
7605216264441460
oct74224037557111
915601818747630
104143041142345
111358065796a96
1256ab48119809
132408c1748731
1410474a8039d7
1572b83b9ad30
hex3c4a07ede49

4143041142345 has 128 divisors (see below), whose sum is σ = 8502564372480. Its totient is φ = 1874935745280.

The previous prime is 4143041142341. The next prime is 4143041142367. The reversal of 4143041142345 is 5432411403414.

It is a happy number.

4143041142345 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 0 + 411 + 4 + 234 + 5 = 666.

4143041142345 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4143041142345 - 22 = 4143041142341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4143041142341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40155394 + ... + 40258436.

It is an arithmetic number, because the mean of its divisors is an integer number (66426284160).

Almost surely, 24143041142345 is an apocalyptic number.

4143041142345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4143041142345 is an abundant number, since it is smaller than the sum of its proper divisors (4359523230135).

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

4143041142345 is a wasteful number, since it uses less digits than its factorization.

4143041142345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103492 (or 103486 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4143041142345 its reverse (5432411403414), we get a palindrome (9575452545759).

The spelling of 4143041142345 in words is "four trillion, one hundred forty-three billion, forty-one million, one hundred forty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 157 189 271 315 471 785 813 945 1099 1355 1413 1897 2355 2439 3297 4065 4239 5495 5691 7065 7317 9485 9891 12195 16485 17073 21195 28455 29673 36585 42547 49455 51219 85365 103043 127641 148365 212735 256095 297829 309129 382923 515215 638205 721301 893487 927387 1148769 1489145 1545645 1914615 2163903 2680461 2782161 3606505 4467435 4636935 5743845 6491709 8041383 10819515 13402305 13910805 16177751 19475127 27924653 32458545 40206915 48533253 80888755 83773959 97375635 113244257 139623265 145599759 195472571 242666265 251321877 339732771 418869795 436799277 566221285 586417713 727998795 753965631 977362855 1019198313 1256609385 1698663855 1759253139 2183996385 2932088565 3057594939 3769828155 4384170521 5095991565 5277759417 8796265695 13152511563 15287974695 21920852605 26388797085 30689193647 39457534689 65762557815 92067580941 118372604067 153445968235 197287673445 276202742823 460337904705 591863020335 828608228469 1381013714115 4143041142345