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134140140131023 = 13192414635232879
BaseRepresentation
bin11110011111111111101111…
…011001110001001011001111
3122120221200011000002021002001
4132133333233121301023033
5120040223001333143043
61153143044001213131
740153206502161265
oct3637775731611317
9576850130067061
10134140140131023
11398175720944a4
12130653116311a7
1359b048cc97770
14251a5bb5a6435
15107945d70574d
hex79ffef6712cf

134140140131023 has 96 divisors (see below), whose sum is σ = 156871502807040. Its totient is φ = 113938529886720.

The previous prime is 134140140131009. The next prime is 134140140131071. The reversal of 134140140131023 is 320131041041431.

It is a de Polignac number, because none of the positive numbers 2k-134140140131023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 134140140130982 and 134140140131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134140140191023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46592614098 + ... + 46592616976.

It is an arithmetic number, because the mean of its divisors is an integer number (1634078154240).

Almost surely, 2134140140131023 is an apocalyptic number.

134140140131023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

134140140131023 is a deficient number, since it is larger than the sum of its proper divisors (22731362676017).

134140140131023 is a wasteful number, since it uses less digits than its factorization.

134140140131023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 134140140131023 its reverse (320131041041431), we get a palindrome (454271181172454).

The spelling of 134140140131023 in words is "one hundred thirty-four trillion, one hundred forty billion, one hundred forty million, one hundred thirty-one thousand, twenty-three".

Divisors: 1 13 19 41 247 361 463 523 533 779 2879 4693 6019 6799 8797 9937 10127 14801 18983 21443 37427 54701 114361 118039 129181 167143 188803 192413 242149 246779 278759 360677 407417 711113 1039319 1332977 1505717 1534507 2172859 2242741 2454439 3147937 4600831 4688801 5296421 6852863 7740923 9928109 13511147 17328701 19574321 25326563 28608623 29155633 42612079 54652057 59810803 61734397 87415789 89087219 100631999 129065417 188634071 329245319 371912099 481204697 543563837 553957027 697146971 710476741 802547161 1038389083 1136405257 1172953543 2452242923 3584047349 6255661061 7066329881 9062910623 13245792449 13499058079 15248396059 19729392577 22286117317 28583025811 46592615537 172195301837 251670056531 256482103501 289719525121 371579335543 543077490409 3271710734903 7060007375317 10318472317771 134140140131023