Search a number
-
+
13143621042045 = 345132496414253
BaseRepresentation
bin1011111101000011110011…
…0111001111111101111101
31201112111222112211101220000
42333100330313033331331
53210321113441321140
643542032433544513
72524411116331524
oct277207467177575
951474875741800
1013143621042045
1142081a647436a
1215833a4115139
137445907b7030
1433622451d4bb
1517bd68224a30
hexbf43cdcff7d

13143621042045 has 40 divisors (see below), whose sum is σ = 25373554477656. Its totient is φ = 6470705741184.

The previous prime is 13143621042037. The next prime is 13143621042053. The reversal of 13143621042045 is 54024012634131.

13143621042045 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 621 + 0 + 4 + 20 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13143621042037) and next prime (13143621042053).

It can be written as a sum of positive squares in 4 ways, for example, as 1482837127524 + 11660783914521 = 1217718^2 + 3414789^2 .

It is not a de Polignac number, because 13143621042045 - 23 = 13143621042037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1248201862 + ... + 1248212391.

Almost surely, 213143621042045 is an apocalyptic number.

13143621042045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13143621042045 is a deficient number, since it is larger than the sum of its proper divisors (12229933435611).

13143621042045 is a wasteful number, since it uses less digits than its factorization.

13143621042045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496414283 (or 2496414274 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13143621042045 its reverse (54024012634131), we get a palindrome (67167633676176).

The spelling of 13143621042045 in words is "thirteen trillion, one hundred forty-three billion, six hundred twenty-one million, forty-two thousand, forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 2496414253 7489242759 12482071265 22467728277 32453385289 37446213795 67403184831 97360155867 112338641385 162266926445 202209554493 292080467601 337015924155 486800779335 876241402803 1011047772465 1460402338005 2628724208409 4381207014015 13143621042045