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144634546536700 = 2252111301182355439
BaseRepresentation
bin100000111000101101011010…
…110001001100000011111100
3200222002221001020012012020211
4200320231122301030003330
5122424143022403133300
61231340105435322204
742315333615621133
oct4070553261140374
9628087036165224
10144634546536700
11420a31919a5790
121427b188bb0364
136291c9644a10c
1427a04c6a9a91a
1511ac4231704ba
hex838b5ac4c0fc

144634546536700 has 144 divisors (see below), whose sum is σ = 342846736404480. Its totient is φ = 52524178720000.

The previous prime is 144634546536661. The next prime is 144634546536829. The reversal of 144634546536700 is 7635645436441.

It is a congruent number.

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, 2608867581 + ... + 2608923019.

It is an arithmetic number, because the mean of its divisors is an integer number (2380880113920).

Almost surely, 2144634546536700 is an apocalyptic number.

144634546536700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144634546536700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171423368202240).

144634546536700 is an abundant number, since it is smaller than the sum of its proper divisors (198212189867780).

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

144634546536700 is a wasteful number, since it uses less digits than its factorization.

144634546536700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58588 (or 58581 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 58.

The spelling of 144634546536700 in words is "one hundred forty-four trillion, six hundred thirty-four billion, five hundred forty-six million, five hundred thirty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1301 1823 2602 3646 5204 6505 7292 9115 13010 14311 18230 20053 26020 28622 32525 36460 40106 45575 55439 57244 65050 71555 80212 91150 100265 110878 130100 143110 182300 200530 221756 277195 286220 357775 401060 501325 554390 609829 715550 1002650 1108780 1219658 1385975 1431100 2005300 2371723 2439316 2771950 3049145 4743446 5543900 6098290 9486892 11858615 12196580 15245725 23717230 26088953 30491450 47434460 52177906 59293075 60982900 72126139 101065297 104355812 118586150 130444765 144252278 202130594 237172300 260889530 288504556 360630695 404261188 505326485 521779060 652223825 721261390 793387529 1010652970 1111718267 1304447650 1442522780 1586775058 1803153475 2021305940 2223436534 2526632425 2608895300 3173550116 3606306950 3966937645 4446873068 5053264850 5558591335 7212613900 7933875290 10106529700 11117182670 15867750580 19834688225 22234365340 27792956675 39669376450 55585913350 79338752900 111171826700 131485951397 262971902794 525943805588 657429756985 1314859513970 1446345465367 2629719027940 2892690930734 3287148784925 5785381861468 6574297569850 7231727326835 13148595139700 14463454653670 28926909307340 36158636634175 72317273268350 144634546536700