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144253406750 = 25323210910007
BaseRepresentation
bin1000011001011000101…
…1000100111000011110
3111210100021020022220112
42012112023010320132
54330412333004000
6150134043050022
713264506504035
oct2062613047036
9453307208815
10144253406750
11561a5318632
1223b5a210912
13107abb4991b
146da64a771c
153b44350235
hex21962c4e1e

144253406750 has 96 divisors (see below), whose sum is σ = 284912147520. Its totient is φ = 54680788800.

The previous prime is 144253406743. The next prime is 144253406779. The reversal of 144253406750 is 57604352441.

144253406750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144253406698 and 144253406707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14410247 + ... + 14420253.

It is an arithmetic number, because the mean of its divisors is an integer number (2967834870).

Almost surely, 2144253406750 is an apocalyptic number.

144253406750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144253406750 is a deficient number, since it is larger than the sum of its proper divisors (140658740770).

144253406750 is a wasteful number, since it uses less digits than its factorization.

144253406750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 144253406750 in words is "one hundred forty-four billion, two hundred fifty-three million, four hundred six thousand, seven hundred fifty".

Divisors: 1 2 5 10 23 25 46 50 109 115 125 218 230 250 529 545 575 1058 1090 1150 2507 2645 2725 2875 5014 5290 5450 5750 10007 12535 13225 13625 20014 25070 26450 27250 50035 57661 62675 66125 100070 115322 125350 132250 230161 250175 288305 313375 460322 500350 576610 626750 1090763 1150805 1250875 1441525 2181526 2301610 2501750 2883050 5293703 5453815 5754025 7207625 10587406 10907630 11508050 14415250 25087549 26468515 27269075 28770125 50175098 52937030 54538150 57540250 125437745 132342575 136345375 250875490 264685150 272690750 577013627 627188725 661712875 1154027254 1254377450 1323425750 2885068135 3135943625 5770136270 6271887250 14425340675 28850681350 72126703375 144253406750