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42024033211104 = 2532720845254569
BaseRepresentation
bin10011000111000011110111…
…00100100101001011100000
312111210110101010111111001100
421203201323210211023200
521002010210000223404
6225213324020234400
711565064501343460
oct1143417344451340
9174713333444040
1042024033211104
111243232420209a
12486865783ba00
131a5ab06c858b9
14a53d8cb6bba0
154cd21ca9ad39
hex26387b9252e0

42024033211104 has 72 divisors (see below), whose sum is σ = 136578107942640. Its totient is φ = 12006866631168.

The previous prime is 42024033211099. The next prime is 42024033211117. The reversal of 42024033211104 is 40111233042024.

42024033211104 is a `hidden beast` number, since 4 + 202 + 403 + 32 + 11 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10422625269 + ... + 10422629300.

It is an arithmetic number, because the mean of its divisors is an integer number (1896918165870).

Almost surely, 242024033211104 is an apocalyptic number.

It is an amenable number.

42024033211104 is an abundant number, since it is smaller than the sum of its proper divisors (94554074731536).

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

42024033211104 is a wasteful number, since it uses less digits than its factorization.

42024033211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20845254592 (or 20845254581 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42024033211104 its reverse (40111233042024), we get a palindrome (82135266253128).

The spelling of 42024033211104 in words is "forty-two trillion, twenty-four billion, thirty-three million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 20845254569 41690509138 62535763707 83381018276 125071527414 145916781983 166762036552 187607291121 250143054828 291833563966 333524073104 375214582242 437750345949 500286109656 583667127932 667048146208 750429164484 875500691898 1000572219312 1167334255864 1313251037847 1500858328968 1751001383796 2001144438624 2334668511728 2626502075694 3001716657936 3502002767592 4669337023456 5253004151388 6003433315872 7004005535184 10506008302776 14008011070368 21012016605552 42024033211104