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1483144008336 = 2434338292
BaseRepresentation
bin10101100101010010010…
…001011001001010010000
312020210020212010001010000
4111211102101121022100
5143244434331231321
63053202535210000
7212103456030504
oct25452221311220
95223225101100
101483144008336
11521aa8144371
121bb539b16900
13a9b24204b43
1451adab56304
15288a766b826
hex15952459290

1483144008336 has 75 divisors (see below), whose sum is σ = 4292775951321. Its totient is φ = 494366721984.

The previous prime is 1483144008329. The next prime is 1483144008407. The reversal of 1483144008336 is 6338004413841.

The square root of 1483144008336 is 1217844.

It is a perfect power (a square), and thus also a powerful number.

1483144008336 is a `hidden beast` number, since 148 + 31 + 440 + 0 + 8 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1077120168336 + 406023840000 = 1037844^2 + 637200^2 .

It is a super-2 number, since 2×14831440083362 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1483144008291 and 1483144008300.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 43825470 + ... + 43859298.

Almost surely, 21483144008336 is an apocalyptic number.

1483144008336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1483144008336 is the 1217844-th square number.

It is an amenable number.

1483144008336 is an abundant number, since it is smaller than the sum of its proper divisors (2809631942985).

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

1483144008336 is an frugal number, since it uses more digits than its factorization.

1483144008336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67678 (or 33834 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1483144008336 in words is "one trillion, four hundred eighty-three billion, one hundred forty-four million, eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 33829 67658 101487 135316 202974 270632 304461 405948 541264 608922 811896 913383 1217844 1623792 1826766 2435688 2740149 3653532 4871376 5480298 7307064 10960596 14614128 21921192 43842384 1144401241 2288802482 3433203723 4577604964 6866407446 9155209928 10299611169 13732814892 18310419856 20599222338 27465629784 30898833507 41198444676 54931259568 61797667014 82396889352 92696500521 123595334028 164793778704 185393001042 247190668056 370786002084 494381336112 741572004168 1483144008336