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141434104030002 = 232714960531244591
BaseRepresentation
bin100000001010001000110001…
…100001111010001100110010
3200112202222010212222120020100
4200022020301201322030302
5122014224021112430002
61220445532545253230
741535163642310040
oct4012106141721462
9615688125876210
10141434104030002
11410799595aaaa3
1213a42a63334216
1360bc242a25c84
1426cd639015390
15115405b6e911c
hex80a23187a332

141434104030002 has 96 divisors (see below), whose sum is σ = 352626766502400. Its totient is φ = 40131874247040.

The previous prime is 141434104029991. The next prime is 141434104030019. The reversal of 141434104030002 is 200030401434141.

141434104030002 is a `hidden beast` number, since 1 + 4 + 14 + 341 + 0 + 4 + 0 + 300 + 0 + 2 = 666.

It is a super-2 number, since 2×1414341040300022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113016727 + ... + 114261317.

It is an arithmetic number, because the mean of its divisors is an integer number (3673195484400).

Almost surely, 2141434104030002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141434104030002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176313383251200).

141434104030002 is an abundant number, since it is smaller than the sum of its proper divisors (211192662472398).

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

141434104030002 is a wasteful number, since it uses less digits than its factorization.

141434104030002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250808 (or 1250805 counting only the distinct ones).

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

Adding to 141434104030002 its reverse (200030401434141), we get a palindrome (341464505464143).

The spelling of 141434104030002 in words is "one hundred forty-one trillion, four hundred thirty-four billion, one hundred four million, thirty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 894 1043 1341 2086 2682 3129 6053 6258 9387 12106 18159 18774 36318 42371 54477 84742 108954 127113 254226 381339 762678 901897 1244591 1803794 2489182 2705691 3733773 5411382 6313279 7467546 8117073 8712137 11201319 12626558 16234146 17424274 18939837 22402638 26136411 37879674 52272822 56819511 78409233 113639022 156818466 185444059 370888118 556332177 1112664354 1298108413 1668996531 2596216826 3337993062 3894325239 7533509323 7788650478 11682975717 15067018646 22600527969 23365951434 45201055938 52734565261 67801583907 105469130522 135603167814 158203695783 316407391566 474611087349 949222174698 1122492889127 2244985778254 3367478667381 6734957334762 7857450223889 10102436002143 15714900447778 20204872004286 23572350671667 47144701343334 70717052015001 141434104030002