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335503442142 = 2321131209926041
BaseRepresentation
bin1001110000111011001…
…00000100000011011110
31012001222210220202110200
410320131210010003132
520444102340122032
6414043403044330
733145042130121
oct4703544040336
91161883822420
10335503442142
1111a316a45920
12550335106a6
132583a44133b
141234a45c3b8
158ad953747c
hex4e1d9040de

335503442142 has 96 divisors (see below), whose sum is σ = 819010483200. Its totient is φ = 98337456000.

The previous prime is 335503442137. The next prime is 335503442143. The reversal of 335503442142 is 241244305533.

335503442142 is a `hidden beast` number, since 3 + 3 + 5 + 503 + 4 + 4 + 2 + 142 = 666.

It is a super-2 number, since 2×3355034421422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335503442097 and 335503442106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335503442143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12870642 + ... + 12896682.

It is an arithmetic number, because the mean of its divisors is an integer number (8531359200).

Almost surely, 2335503442142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335503442142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409505241600).

335503442142 is an abundant number, since it is smaller than the sum of its proper divisors (483507041058).

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

335503442142 is a wasteful number, since it uses less digits than its factorization.

335503442142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28190 (or 28187 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 335503442142 its reverse (241244305533), we get a palindrome (576747747675).

The spelling of 335503442142 in words is "three hundred thirty-five billion, five hundred three million, four hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 2099 3069 4198 6138 6297 12594 18891 23089 26041 37782 46178 52082 65069 69267 78123 130138 138534 156246 195207 207801 234369 286451 390414 415602 468738 572902 585621 715759 807271 859353 1171242 1431518 1614542 1718706 2147277 2421813 2578059 4294554 4843626 5156118 6441831 7265439 8879981 12883662 14530878 17759962 26639943 53279886 54660059 79919829 109320118 159839658 163980177 327960354 491940531 601260649 983881062 1202521298 1694461829 1803781947 3388923658 3607563894 5083385487 5411345841 10166770974 10822691682 15250156461 18639080119 30500312922 37278160238 55917240357 111834480714 167751721071 335503442142