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1345305655155 = 357112820912899
BaseRepresentation
bin10011100100111010011…
…101110011011101110011
311202121110122221012100010
4103210322131303131303
5134020141221431110
62510005213030003
7166123633251510
oct23447235633563
94677418835303
101345305655155
114795a4a74500
12198890185303
1399b28436407
1449182660307
1524edb5dd020
hex1393a773773

1345305655155 has 96 divisors (see below), whose sum is σ = 2704492224000. Its totient is φ = 558976619520.

The previous prime is 1345305655123. The next prime is 1345305655163. The reversal of 1345305655155 is 5515565035431.

It is not a de Polignac number, because 1345305655155 - 25 = 1345305655123 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104288896 + ... + 104301794.

It is an arithmetic number, because the mean of its divisors is an integer number (28171794000).

Almost surely, 21345305655155 is an apocalyptic number.

1345305655155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1345305655155 is an abundant number, since it is smaller than the sum of its proper divisors (1359186568845).

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

1345305655155 is a wasteful number, since it uses less digits than its factorization.

1345305655155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21145 (or 21134 counting only the distinct ones).

The product of its (nonzero) digits is 3375000, while the sum is 48.

The spelling of 1345305655155 in words is "one trillion, three hundred forty-five billion, three hundred five million, six hundred fifty-five thousand, one hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 8209 12705 12899 24627 38697 41045 57463 64495 90293 90299 123135 141889 172389 193485 270879 270897 287315 425667 451465 451495 632093 709445 861945 993223 993289 1354395 1354485 1560779 1896279 2128335 2979669 2979867 3160465 4682337 4966115 4966445 6953023 7803895 9481395 10925453 14898345 14899335 20859069 23411685 32776359 34765115 54627265 104295345 105887891 163881795 317663673 529439455 741215237 1164766801 1588318365 2223645711 3494300403 3706076185 5823834005 8153367607 11118228555 12812434811 17471502015 24460102821 38437304433 40766838035 64062174055 89687043677 122300514105 192186522165 269061131031 448435218385 1345305655155