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434243141342300 = 225223419747473313
BaseRepresentation
bin110001010111100010001110…
…0001011111001010001011100
32002221112020110010222112002002
41202233010130023321101130
5423404114423140423200
64135320313431021432
7160316013565546103
oct14257043413712134
92087466403875062
10434243141342300
111163aa533657514
124085329150a878
131583bc4c8c8974
1479336a189d03a
1535309d99d1bd5
hex18af11c2f945c

434243141342300 has 144 divisors (see below), whose sum is σ = 1017644035488192. Its totient is φ = 160421815910400.

The previous prime is 434243141342299. The next prime is 434243141342333. The reversal of 434243141342300 is 3243141342434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14589557 + ... + 32883756.

It is an arithmetic number, because the mean of its divisors is an integer number (7066972468668).

Almost surely, 2434243141342300 is an apocalyptic number.

It is an amenable number.

434243141342300 is an abundant number, since it is smaller than the sum of its proper divisors (583400894145892).

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

434243141342300 is a wasteful number, since it uses less digits than its factorization.

434243141342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47473488 (or 47473481 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 434243141342300 its reverse (3243141342434), we get a palindrome (437486282684734).

The spelling of 434243141342300 in words is "four hundred thirty-four trillion, two hundred forty-three billion, one hundred forty-one million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 41 46 50 82 92 97 100 115 164 194 205 230 388 410 460 485 575 820 943 970 1025 1150 1886 1940 2050 2231 2300 2425 3772 3977 4100 4462 4715 4850 7954 8924 9430 9700 11155 15908 18860 19885 22310 23575 39770 44620 47150 55775 79540 91471 94300 99425 111550 182942 198850 223100 365884 397700 457355 914710 1829420 2286775 4573550 9147100 47473313 94946626 189893252 237366565 474733130 949466260 1091886199 1186832825 1946405833 2183772398 2373665650 3892811666 4367544796 4604911361 4747331300 5459430995 7785623332 9209822722 9732029165 10918861990 18419645444 19464058330 21837723980 23024556805 27297154975 38928116660 44767334159 46049113610 48660145825 54594309950 89534668318 92098227220 97320291650 105912961303 109188619900 115122784025 179069336636 188801365801 194640583300 211825922606 223836670795 230245568050 377602731602 423651845212 447673341590 460491136100 529564806515 755205463204 895346683180 944006829005 1059129613030 1119183353975 1888013658010 2118259226060 2238366707950 2647824032575 3776027316020 4342431413423 4476733415900 4720034145025 5295648065150 8684862826846 9440068290050 10591296130300 17369725653692 18880136580100 21712157067115 43424314134230 86848628268460 108560785335575 217121570671150 434243141342300