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141334353402525 = 3452892692915281
BaseRepresentation
bin100000001000101011110111…
…111011011101101010011101
3200112102102200002120122210000
4200020223313323131222131
5122011110223432340100
61220332034451204513
741525033014051113
oct4010536773355235
9615372602518700
10141334353402525
1141040620a0a198
1213a27664ba6739
1360b2a06a9944a
1426c8895149ab3
15115166e31c900
hex808af7edda9d

141334353402525 has 120 divisors (see below), whose sum is σ = 265725913602600. Its totient is φ = 74254280601600.

The previous prime is 141334353402497. The next prime is 141334353402527. The reversal of 141334353402525 is 525204353433141.

141334353402525 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 4 + 353 + 40 + 252 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 53684650574361 + 87649702828164 = 7326981^2 + 9362142^2 .

It is not a de Polignac number, because 141334353402525 - 26 = 141334353402461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141334353402527) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47022885 + ... + 49938165.

It is an arithmetic number, because the mean of its divisors is an integer number (2214382613355).

Almost surely, 2141334353402525 is an apocalyptic number.

141334353402525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141334353402525 is a deficient number, since it is larger than the sum of its proper divisors (124391560200075).

141334353402525 is a wasteful number, since it uses less digits than its factorization.

141334353402525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915661 (or 2915647 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 141334353402525 in words is "one hundred forty-one trillion, three hundred thirty-four billion, three hundred fifty-three million, four hundred two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 89 135 225 267 269 405 445 675 801 807 1335 1345 2025 2225 2403 2421 4005 4035 6675 6725 7209 7263 12015 12105 20025 20175 21789 23941 36045 36315 60075 60525 71823 108945 119705 180225 181575 215469 359115 544725 598525 646407 1077345 1795575 1939221 2915281 3232035 5386725 8745843 9696105 14576405 16160175 26237529 43729215 48480525 72882025 78712587 131187645 218646075 236137761 259460009 393562935 655938225 778380027 784210589 1180688805 1297300045 1967814675 2335140081 2352631767 3891900135 3921052945 5903444025 6486500225 7005420243 7057895301 11675700405 11763158835 19459500675 19605264725 21016260729 21173685903 35027101215 35289476505 58378502025 58815794175 63521057709 69794742421 105081303645 105868429515 175135506075 176447382525 209384227263 317605288545 348973712105 525406518225 529342147575 628152681789 1046921136315 1588026442725 1744868560525 1884458045367 3140763408945 5234605681575 5653374136101 9422290226835 15703817044725 28266870680505 47111451134175 141334353402525