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23034040342344 = 2334223159400711
BaseRepresentation
bin1010011110011000001111…
…10010101101011101001000
310000120000212212122100020000
411033030013302231131020
511004342203311423334
6120553405252203000
74565103664303413
oct517140762553510
9100500785570200
1023034040342344
117380755305849
122700199609460
13cb1140283a35
14598bd4014b7a
1529e27cc97299
hex14f307cad748

23034040342344 has 80 divisors (see below), whose sum is σ = 64805953470720. Its totient is φ = 7643582845920.

The previous prime is 23034040342343. The next prime is 23034040342373. The reversal of 23034040342344 is 44324304043032.

23034040342344 is a `hidden beast` number, since 2 + 303 + 4 + 0 + 4 + 0 + 3 + 4 + 2 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23034040342299 and 23034040342308.

It is not an unprimeable number, because it can be changed into a prime (23034040342343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79555852 + ... + 79844859.

It is an arithmetic number, because the mean of its divisors is an integer number (810074418384).

Almost surely, 223034040342344 is an apocalyptic number.

23034040342344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23034040342344 is an abundant number, since it is smaller than the sum of its proper divisors (41771913128376).

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

23034040342344 is a wasteful number, since it uses less digits than its factorization.

23034040342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159400952 (or 159400939 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 23034040342344 its reverse (44324304043032), we get a palindrome (67358344385376).

The spelling of 23034040342344 in words is "twenty-three trillion, thirty-four billion, forty million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 324 446 648 669 892 1338 1784 2007 2676 4014 5352 6021 8028 12042 16056 18063 24084 36126 48168 72252 144504 159400711 318801422 478202133 637602844 956404266 1275205688 1434606399 1912808532 2869212798 3825617064 4303819197 5738425596 8607638394 11476851192 12911457591 17215276788 25822915182 34430553576 35546358553 51645830364 71092717106 103291660728 106639075659 142185434212 213278151318 284370868424 319917226977 426556302636 639834453954 853112605272 959751680931 1279668907908 1919503361862 2559337815816 2879255042793 3839006723724 5758510085586 7678013447448 11517020171172 23034040342344