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42224202240444 = 22327620392700823
BaseRepresentation
bin10011001100111000101101…
…00100110101000110111100
312112111121001020211202012200
421212130112210311012330
521013300131233143234
6225445310345231500
711615412044124420
oct1146342644650674
9175447036752180
1042224202240444
11124aa202422564
12489b3bba92590
131a73957307323
14a5d93b48cb80
154d3535cacd99
hex2667169351bc

42224202240444 has 72 divisors (see below), whose sum is σ = 121983040058880. Its totient is φ = 12063858856992.

The previous prime is 42224202240293. The next prime is 42224202240449. The reversal of 42224202240444 is 44404220242224.

42224202240444 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 4 + 202 + 2 + 4 + 0 + 444 = 666.

42224202240444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422242022404442 (a number of 28 digits) contains 22 as substring.

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 = 42224202240399 and 42224202240408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224202240449) 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 23 ways as a sum of consecutive naturals, for example, 14283417 + ... + 16984239.

Almost surely, 242224202240444 is an apocalyptic number.

It is an amenable number.

42224202240444 is an abundant number, since it is smaller than the sum of its proper divisors (79758837818436).

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

42224202240444 is a wasteful number, since it uses less digits than its factorization.

42224202240444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762879 (or 2762874 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 42224202240444 its reverse (44404220242224), we get a palindrome (86628422482668).

The spelling of 42224202240444 in words is "forty-two trillion, two hundred twenty-four billion, two hundred two million, two hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 62039 124078 186117 248156 372234 434273 558351 744468 868546 1116702 1302819 1737092 2233404 2605638 2700823 3908457 5211276 5401646 7816914 8102469 10803292 15633828 16204938 18905761 24307407 32409876 37811522 48614814 56717283 75623044 97229628 113434566 170151849 226869132 340303698 680607396 167556358097 335112716194 502669074291 670225432388 1005338148582 1172894506679 1508007222873 2010676297164 2345789013358 3016014445746 3518683520037 4691578026716 6032028891492 7037367040074 10556050560111 14074734080148 21112101120222 42224202240444