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141420014431314 = 23478337969123071
BaseRepresentation
bin100000001001111011101001…
…101110010110110001010010
3200112201121202221220210100220
4200021323221232112301102
5122014011142143300224
61220435242512253510
741534154535556613
oct4011735156266122
9615647687823326
10141420014431314
1141073989374a63
1213a40190841296
1360bab089a5a28
1426cca9da97c0a
1511539d47b8279
hex809ee9b96c52

141420014431314 has 128 divisors (see below), whose sum is σ = 293546362798080. Its totient is φ = 45393133665600.

The previous prime is 141420014431249. The next prime is 141420014431391. The reversal of 141420014431314 is 413134410024141.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6129762399 + ... + 6129785469.

It is an arithmetic number, because the mean of its divisors is an integer number (2293330959360).

Almost surely, 2141420014431314 is an apocalyptic number.

141420014431314 is an abundant number, since it is smaller than the sum of its proper divisors (152126348366766).

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

141420014431314 is a wasteful number, since it uses less digits than its factorization.

141420014431314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24276.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 141420014431314 its reverse (413134410024141), we get a palindrome (554554424455455).

The spelling of 141420014431314 in words is "one hundred forty-one trillion, four hundred twenty billion, fourteen million, four hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 47 83 94 141 166 249 282 379 498 691 758 1137 1382 2073 2274 3901 4146 7802 11703 17813 23071 23406 31457 32477 35626 46142 53439 57353 62914 64954 69213 94371 97431 106878 114706 138426 172059 188742 194862 261889 344118 523778 785667 1084337 1478479 1571334 1914893 2168674 2695591 2956958 3253011 3829786 4435437 5391182 5744679 6506022 8086773 8743909 8870874 11489358 12308783 15942061 16173546 17487818 21736787 24617566 26231727 31884122 36926349 43473574 47826183 52463454 65210361 73852698 89999971 95652366 130420722 179999942 269999913 410963723 539999826 725744447 749276867 821927446 1021628989 1232891169 1323191063 1451488894 1498553734 2043257978 2177233341 2247830601 2465782338 2646382126 3064886967 3969573189 4354466682 4495661202 6042041119 6129773934 7939146378 12084082238 18126123357 34109989009 36252246714 62189979961 68219978018 102329967027 124379959922 186569939883 204659934054 283975932593 373139879766 501489412877 567951865186 851927797779 1002978825754 1504468238631 1703855595558 3008936477262 23570002405219 47140004810438 70710007215657 141420014431314