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84455434142310 = 235711331110455571
BaseRepresentation
bin10011001100111111010000…
…001001101100001001100110
3102002000212020102020022000210
4103030333100021230021212
542032204212120023220
6455342142452520250
723534463250346640
oct2314772011541146
9362025212208023
1084455434142310
1124a01391908760
129580042020086
133818161b0140a
1416bd9443b9890
159b6d2dc936e0
hex4ccfd026c266

84455434142310 has 128 divisors (see below), whose sum is σ = 253471679336448. Its totient is φ = 17496162288000.

The previous prime is 84455434142249. The next prime is 84455434142311. The reversal of 84455434142310 is 1324143455448.

It is a super-2 number, since 2×844554341423102 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84455434142310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84455434142311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54463176 + ... + 55992395.

It is an arithmetic number, because the mean of its divisors is an integer number (1980247494816).

Almost surely, 284455434142310 is an apocalyptic number.

84455434142310 is an abundant number, since it is smaller than the sum of its proper divisors (169016245194138).

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

84455434142310 is a wasteful number, since it uses less digits than its factorization.

84455434142310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110455930.

The product of its (nonzero) digits is 3686400, while the sum is 48.

Adding to 84455434142310 its reverse (1324143455448), we get a palindrome (85779577597758).

The spelling of 84455434142310 in words is "eighty-four trillion, four hundred fifty-five billion, four hundred thirty-four million, one hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 331 385 462 662 770 993 1155 1655 1986 2310 2317 3310 3641 4634 4965 6951 7282 9930 10923 11585 13902 18205 21846 23170 25487 34755 36410 50974 54615 69510 76461 109230 127435 152922 254870 382305 764610 110455571 220911142 331366713 552277855 662733426 773188997 1104555710 1215011281 1546377994 1656833565 2319566991 2430022562 3313667130 3645033843 3865944985 4639133982 6075056405 7290067686 7731889970 8505078967 11597834955 12150112810 17010157934 18225169215 23195669910 25515236901 36450338430 36560794001 42525394835 51030473802 73121588002 85050789670 109682382003 127576184505 182803970005 219364764006 255152369010 255925558007 365607940010 402168734011 511851116014 548411910015 767776674021 804337468022 1096823820030 1206506202033 1279627790035 1535553348042 2010843670055 2413012404066 2559255580070 2815181138077 3838883370105 4021687340110 5630362276154 6032531010165 7677766740210 8445543414231 12065062020330 14075905690385 16891086828462 28151811380770 42227717071155 84455434142310