Search a number
-
+
1283413142538 = 2354675654749
BaseRepresentation
bin10010101011010001011…
…000100110110000001010
311112200201021020210100000
4102223101120212300022
5132011412231030123
62421331501423430
7161503113500352
oct22532130466012
94480637223300
101283413142538
1145532429572a
1218889856ab76
1394043897697
14461906d1b62
15235b7b5ab43
hex12ad1626c0a

1283413142538 has 48 divisors (see below), whose sum is σ = 2889893916000. Its totient is φ = 426888236016.

The previous prime is 1283413142537. The next prime is 1283413142573. The reversal of 1283413142538 is 8352413143821.

1283413142538 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 41 + 31 + 42 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1283413142493 and 1283413142502.

It is not an unprimeable number, because it can be changed into a prime (1283413142533) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2600413 + ... + 3054336.

It is an arithmetic number, because the mean of its divisors is an integer number (60206123250).

Almost surely, 21283413142538 is an apocalyptic number.

1283413142538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1283413142538 is an abundant number, since it is smaller than the sum of its proper divisors (1606480773462).

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

1283413142538 is an equidigital number, since it uses as much as digits as its factorization.

1283413142538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655233 (or 5655221 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 1283413142538 in words is "one trillion, two hundred eighty-three billion, four hundred thirteen million, one hundred forty-two thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 467 486 934 1401 2802 4203 8406 12609 25218 37827 75654 113481 226962 5654749 11309498 16964247 33928494 50892741 101785482 152678223 305356446 458034669 916069338 1374104007 2640767783 2748208014 5281535566 7922303349 15844606698 23766910047 47533820094 71300730141 142601460282 213902190423 427804380846 641706571269 1283413142538