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345455452140015 = 35783643161338219
BaseRepresentation
bin100111010001100001001110…
…1100000101011000111101111
31200022011012220102112200021010
41032203002131200223013233
5330234420231221440030
63222420013245040303
7132523222100601540
oct11643023540530757
91608135812480233
10345455452140015
11a008891a800a38
12328b36b7b56093
1311a9b403869229
1461441c13064c7
1529e1150a046b0
hex13a309d82b1ef

345455452140015 has 128 divisors (see below), whose sum is σ = 640708661698560. Its totient is φ = 155676518779392.

The previous prime is 345455452139971. The next prime is 345455452140077. The reversal of 345455452140015 is 510041254554543.

It is not a de Polignac number, because 345455452140015 - 29 = 345455452139503 is a prime.

It is a congruent number.

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, 9038821576 + ... + 9038859794.

It is an arithmetic number, because the mean of its divisors is an integer number (5005536419520).

Almost surely, 2345455452140015 is an apocalyptic number.

345455452140015 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345455452140015 is a deficient number, since it is larger than the sum of its proper divisors (295253209558545).

345455452140015 is a wasteful number, since it uses less digits than its factorization.

345455452140015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40573.

The product of its (nonzero) digits is 4800000, while the sum is 48.

The spelling of 345455452140015 in words is "three hundred forty-five trillion, four hundred fifty-five billion, four hundred fifty-two million, one hundred forty thousand, fifteen".

Divisors: 1 3 5 7 15 21 35 83 105 249 415 581 643 1245 1613 1743 1929 2905 3215 4501 4839 8065 8715 9645 11291 13503 22505 24195 33873 38219 53369 56455 67515 114657 133879 160107 169365 191095 266845 267533 373583 401637 573285 669395 800535 802599 937153 1037159 1120749 1337665 1867915 2008185 2811459 3111477 3172177 4012995 4685765 5185795 5603745 7260113 9516531 14057295 15557385 15860885 21780339 22205239 24574817 36300565 47582655 61647247 66615717 73724451 86084197 108901695 111026195 122874085 172023719 184941741 258252591 308236235 333078585 368622255 430420985 431530729 516071157 602589379 860118595 924708705 1291262955 1294592187 1807768137 2039709811 2157653645 2580355785 3012946895 5116721501 6119129433 6472960935 9038840685 10198549055 14277968677 15350164503 25583607505 30595647165 35817050507 39639179821 42833906031 71389843385 76750822515 107451151521 118917539463 179085252535 198195899105 214169530155 277474258747 537255757605 594587697315 832422776241 1387371293735 3290051925143 4162113881205 9870155775429 16450259625715 23030363476001 49350778877145 69091090428003 115151817380005 345455452140015