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42121110024 = 233479285959
BaseRepresentation
bin100111001110100111…
…010010001000001000
311000201111022002110000
4213032213102020020
51142231001010044
631203345323000
73020541346020
oct471647221010
9130644262400
1042121110024
11169552a5434
1281b6336460
133c83651b56
142078190a80
151167d1dd69
hex9ce9d2208

42121110024 has 80 divisors (see below), whose sum is σ = 134832139200. Its totient is φ = 12034601568.

The previous prime is 42121110019. The next prime is 42121110037. The reversal of 42121110024 is 42001112124.

42121110024 is a `hidden beast` number, since 421 + 211 + 10 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42121109979 and 42121110006.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4638444 + ... + 4647515.

It is an arithmetic number, because the mean of its divisors is an integer number (1685401740).

Almost surely, 242121110024 is an apocalyptic number.

It is an amenable number.

42121110024 is an abundant number, since it is smaller than the sum of its proper divisors (92711029176).

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

42121110024 is a wasteful number, since it uses less digits than its factorization.

42121110024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285984 (or 9285971 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42121110024 its reverse (42001112124), we get a palindrome (84122222148).

The spelling of 42121110024 in words is "forty-two billion, one hundred twenty-one million, one hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 9285959 18571918 27857877 37143836 55715754 65001713 74287672 83573631 111431508 130003426 167147262 195005139 222863016 250720893 260006852 334294524 390010278 501441786 520013704 585015417 668589048 752162679 780020556 1002883572 1170030834 1504325358 1560041112 1755046251 2005767144 2340061668 3008650716 3510092502 4680123336 5265138753 6017301432 7020185004 10530277506 14040370008 21060555012 42121110024