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145505251543140 = 22325978333634109
BaseRepresentation
bin100001000101011000010100…
…110101001100100001100100
3201002012011111011021102010200
4201011120110311030201210
5123032424223343340030
61233244104553350500
742435256530225156
oct4105302465144144
9632164434242120
10145505251543140
11423a94812002a5
121439ba86408430
1363261179141b8
1427d06c5516ad6
1511c4dd38d3d60
hex845614d4c864

145505251543140 has 72 divisors (see below), whose sum is σ = 445916093957880. Its totient is φ = 38401385969664.

The previous prime is 145505251543081. The next prime is 145505251543159. The reversal of 145505251543140 is 41345152505541.

145505251543140 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 0 + 52 + 51 + 543 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50292464191524 + 95212787351616 = 7091718^2 + 9757704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4166799595 + ... + 4166834514.

Almost surely, 2145505251543140 is an apocalyptic number.

145505251543140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145505251543140 is an abundant number, since it is smaller than the sum of its proper divisors (300410842414740).

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

145505251543140 is a wasteful number, since it uses less digits than its factorization.

145505251543140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333634221 (or 8333634216 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 145505251543140 in words is "one hundred forty-five trillion, five hundred five billion, two hundred fifty-one million, five hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 8333634109 16667268218 25000902327 33334536436 41668170545 50001804654 75002706981 83336341090 100003609308 125004511635 150005413962 166672682180 250009023270 300010827924 375013534905 500018046540 750027069810 808362508573 1500054139620 1616725017146 2425087525719 3233450034292 4041812542865 4850175051438 7275262577157 8083625085730 9700350102876 12125437628595 14550525154314 16167250171460 24250875257190 29101050308628 36376312885785 48501750514380 72752625771570 145505251543140