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203434340545440 = 25325669121114011
BaseRepresentation
bin101110010000010110111111…
…100110100111001110100000
3222200022010120222021011100200
4232100112333212213032200
5203131032012134423230
62000400240150145200
760564434414304114
oct5620267746471640
9880263528234320
10203434340545440
1159903023796494
121a996b31052200
138968a11b39594
1438343bb7a7744
15187bbd9de8160
hexb905bf9a73a0

203434340545440 has 144 divisors (see below), whose sum is σ = 694323474245856. Its totient is φ = 54241047129600.

The previous prime is 203434340545393. The next prime is 203434340545453. The reversal of 203434340545440 is 44545043434302.

203434340545440 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 34 + 34 + 0 + 545 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921966 + ... + 20192045.

It is an arithmetic number, because the mean of its divisors is an integer number (4821690793374).

Almost surely, 2203434340545440 is an apocalyptic number.

203434340545440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203434340545440 is an abundant number, since it is smaller than the sum of its proper divisors (490889133700416).

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

203434340545440 is a wasteful number, since it uses less digits than its factorization.

203434340545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120723 (or 21120712 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 45.

Adding to 203434340545440 its reverse (44545043434302), we get a palindrome (247979383979742).

The spelling of 203434340545440 in words is "two hundred three trillion, four hundred thirty-four billion, three hundred forty million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 6691 13382 20073 26764 33455 40146 53528 60219 66910 80292 100365 107056 120438 133820 160584 200730 214112 240876 267640 301095 321168 401460 481752 535280 602190 642336 802920 963504 1070560 1204380 1605840 1927008 2408760 3211680 4817520 9635040 21114011 42228022 63342033 84456044 105570055 126684066 168912088 190026099 211140110 253368132 316710165 337824176 380052198 422280220 506736264 633420330 675648352 760104396 844560440 950130495 1013472528 1266840660 1520208792 1689120880 1900260990 2026945056 2533681320 3040417584 3378241760 3800521980 5067362640 6080835168 7601043960 10134725280 15202087920 30404175840 141273847601 282547695202 423821542803 565095390404 706369238005 847643085606 1130190780808 1271464628409 1412738476010 1695286171212 2119107714015 2260381561616 2542929256818 2825476952020 3390572342424 4238215428030 4520763123232 5085858513636 5650953904040 6357323142045 6781144684848 8476430856060 10171717027272 11301907808080 12714646284090 13562289369696 16952861712120 20343434054544 22603815616160 25429292568180 33905723424240 40686868109088 50858585136360 67811446848480 101717170272720 203434340545440