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2023042134000 = 24353827407707
BaseRepresentation
bin11101011100000110101…
…101010010111111110000
321011101211021200112112110
4131130012231102333300
5231121142241242000
64145212301525320
7266105604261216
oct35340655227760
97141737615473
102023042134000
1170aa705a9138
122880b4873840
13118a062864a4
146dcb6bc8cb6
1537955d61850
hex1d706b52ff0

2023042134000 has 160 divisors (see below), whose sum is σ = 6530190541056. Its totient is φ = 538824249600.

The previous prime is 2023042133971. The next prime is 2023042134013. The reversal of 2023042134000 is 4312403202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4758147 + ... + 5165853.

Almost surely, 22023042134000 is an apocalyptic number.

2023042134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023042134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265095270528).

2023042134000 is an abundant number, since it is smaller than the sum of its proper divisors (4507148407056).

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

2023042134000 is a wasteful number, since it uses less digits than its factorization.

2023042134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408560 (or 408544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2023042134000 its reverse (4312403202), we get a palindrome (2027354537202).

The spelling of 2023042134000 in words is "two trillion, twenty-three billion, forty-two million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 827 1000 1200 1500 1654 2000 2481 3000 3308 4135 4962 6000 6616 8270 9924 12405 13232 16540 19848 20675 24810 33080 39696 41350 49620 62025 66160 82700 99240 103375 124050 165400 198480 206750 248100 310125 330800 407707 413500 496200 620250 815414 827000 992400 1223121 1240500 1630828 1654000 2038535 2446242 2481000 3261656 4077070 4892484 4962000 6115605 6523312 8154140 9784968 10192675 12231210 16308280 19569936 20385350 24462420 30578025 32616560 40770700 48924840 50963375 61156050 81541400 97849680 101926750 122312100 152890125 163082800 203853500 244624200 305780250 337173689 407707000 489248400 611560500 674347378 815414000 1011521067 1223121000 1348694756 1685868445 2023042134 2446242000 2697389512 3371736890 4046084268 5057605335 5394779024 6743473780 8092168536 8429342225 10115210670 13486947560 16184337072 16858684450 20230421340 25288026675 26973895120 33717368900 40460842680 42146711125 50576053350 67434737800 80921685360 84293422250 101152106700 126440133375 134869475600 168586844500 202304213400 252880266750 337173689000 404608426800 505760533500 674347378000 1011521067000 2023042134000