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134454344556345 = 351167157421184007
BaseRepresentation
bin11110100100100100010111…
…011100100001111100111001
3122122001201011110010212012220
4132210210113130201330321
5120110344444201300340
61153543250112354253
740215001666550442
oct3644442734417471
9578051143125186
10134454344556345
1139928849314780
12130b619bb45989
135a03cb487b868
14252b8a6dd62c9
1510826ece27ed0
hex7a4917721f39

134454344556345 has 128 divisors (see below), whose sum is σ = 240274478518272. Its totient is φ = 63656066073600.

The previous prime is 134454344556317. The next prime is 134454344556353. The reversal of 134454344556345 is 543655443454431.

It is a de Polignac number, because none of the positive numbers 2k-134454344556345 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 730610332 + ... + 730794338.

It is an arithmetic number, because the mean of its divisors is an integer number (1877144363424).

Almost surely, 2134454344556345 is an apocalyptic number.

134454344556345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134454344556345 is a deficient number, since it is larger than the sum of its proper divisors (105820133961927).

134454344556345 is a wasteful number, since it uses less digits than its factorization.

134454344556345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184671.

The product of its digits is 414720000, while the sum is 60.

The spelling of 134454344556345 in words is "one hundred thirty-four trillion, four hundred fifty-four billion, three hundred forty-four million, five hundred fifty-six thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 67 157 165 201 335 421 471 737 785 1005 1263 1727 2105 2211 2355 3685 4631 5181 6315 8635 10519 11055 13893 23155 25905 28207 31557 52595 66097 69465 84621 115709 141035 157785 184007 198291 310277 330485 347127 423105 552021 578545 727067 920035 930831 991455 1551385 1735635 2024077 2181201 2760105 3635335 4428499 4654155 6072231 10120385 10906005 12328469 13285497 22142495 28889099 30361155 36985407 48713489 61642345 66427485 77466947 86667297 135613159 144445495 146140467 184927035 232400841 243567445 317780089 387334735 406839477 433336485 678065795 730702335 852136417 953340267 1162004205 1588900445 1935569633 2034197385 2556409251 4260682085 4766701335 5190285449 5806708899 9677848165 12162310679 12782046255 15570856347 21291265963 25951427245 29033544495 36486932037 57093139939 60811553395 63873797889 77854281735 106456329815 133785417469 171279419817 182434660185 285465699695 319368989445 401356252407 668927087345 814874815493 856397099085 2006781262035 2444624446479 4074374077465 8963622970423 12223122232395 26890868911269 44818114852115 134454344556345