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141327730653660 = 22335299024759301
BaseRepresentation
bin100000001000100101101101…
…001011101011100111011100
3200112101210120112201011021000
4200020211231023223213130
5122011003143021404120
61220325021350510300
741524406625445305
oct4010455513534734
9615353515634230
10141327730653660
1141038832602a21
1213a26317065390
1360b21bc99b435
1426c84277517ac
1511513d2bc1990
hex80896d2eb9dc

141327730653660 has 96 divisors (see below), whose sum is σ = 454847868820800. Its totient is φ = 36387829497600.

The previous prime is 141327730653643. The next prime is 141327730653677. The reversal of 141327730653660 is 66356037723141.

It is a happy number.

141327730653660 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 2 + 77 + 30 + 6 + 536 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (141327730653643) and next prime (141327730653677).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 141327730653597 and 141327730653606.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4512363991 + ... + 4512395310.

It is an arithmetic number, because the mean of its divisors is an integer number (4737998633550).

Almost surely, 2141327730653660 is an apocalyptic number.

141327730653660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141327730653660 is an abundant number, since it is smaller than the sum of its proper divisors (313520138167140).

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

141327730653660 is a wasteful number, since it uses less digits than its factorization.

141327730653660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024759348 (or 9024759340 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 141327730653660 in words is "one hundred forty-one trillion, three hundred twenty-seven billion, seven hundred thirty million, six hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 9024759301 18049518602 27074277903 36099037204 45123796505 54148555806 81222833709 90247593010 108297111612 135371389515 162445667418 180495186020 243668501127 261718019729 270742779030 324891334836 406114168545 487337002254 523436039458 541485558060 785154059187 812228337090 974674004508 1046872078916 1218342505635 1308590098645 1570308118374 1624456674180 2355462177561 2436685011270 2617180197290 3140616236748 3925770295935 4710924355122 4873370022540 5234360394580 7066386532683 7851540591870 9421848710244 11777310887805 14132773065366 15703081183740 23554621775610 28265546130732 35331932663415 47109243551220 70663865326830 141327730653660