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42001110824000 = 26535250138853
BaseRepresentation
bin10011000110011001001010…
…10010100111010001000000
312111201021012121222120100012
421203030211102213101000
521001121233332332000
6225155013254044052
711563323452305526
oct1143144522472100
9174637177876305
1042001110824000
1112423631103419
12486411b049628
131a588c2ccc433
14a52c166c4316
154cc82a4bc735
hex2633254a7440

42001110824000 has 56 divisors (see below), whose sum is σ = 104015750975448. Its totient is φ = 16800444326400.

The previous prime is 42001110823927. The next prime is 42001110824027. The reversal of 42001110824000 is 42801110024.

It can be written as a sum of positive squares in 4 ways, for example, as 4059354566656 + 37941756257344 = 2014784^2 + 6159688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2625061427 + ... + 2625077426.

Almost surely, 242001110824000 is an apocalyptic number.

42001110824000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42001110824000 is an abundant number, since it is smaller than the sum of its proper divisors (62014640151448).

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

42001110824000 is an equidigital number, since it uses as much as digits as its factorization.

42001110824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250138880 (or 5250138860 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 42001110824000 its reverse (42801110024), we get a palindrome (42043911934024).

The spelling of 42001110824000 in words is "forty-two trillion, one billion, one hundred ten million, eight hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 5250138853 10500277706 21000555412 26250694265 42001110824 52501388530 84002221648 105002777060 131253471325 168004443296 210005554120 262506942650 336008886592 420011108240 525013885300 656267356625 840022216480 1050027770600 1312534713250 1680044432960 2100055541200 2625069426500 4200111082400 5250138853000 8400222164800 10500277706000 21000555412000 42001110824000