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13144511542050 = 23252719219624253
BaseRepresentation
bin1011111101000111000111…
…1100001111001100100010
31201112121021121110111020200
42333101301330033030202
53210324424423321200
643542301044250030
72524442151422460
oct277216174171442
951477247414220
1013144511542050
1142086130a8189
1215835b23a0916
137446a3135605
143362aa8c5830
1517bdbb4c6800
hexbf471f0f322

13144511542050 has 144 divisors (see below), whose sum is σ = 42484115693760. Its totient is φ = 2846330305920.

The previous prime is 13144511542007. The next prime is 13144511542079. The reversal of 13144511542050 is 5024511544131.

13144511542050 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 451 + 154 + 2 + 0 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13144511541996 and 13144511542014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109752277 + ... + 109871976.

Almost surely, 213144511542050 is an apocalyptic number.

13144511542050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144511542050 is an abundant number, since it is smaller than the sum of its proper divisors (29339604151710).

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

13144511542050 is a wasteful number, since it uses less digits than its factorization.

13144511542050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219624297 (or 219624289 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 13144511542050 in words is "thirteen trillion, one hundred forty-four billion, five hundred eleven million, five hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 855 950 1050 1197 1330 1425 1575 1710 1995 2394 2850 3150 3325 3990 4275 5985 6650 8550 9975 11970 19950 29925 59850 219624253 439248506 658872759 1098121265 1317745518 1537369771 1976618277 2196242530 3074739542 3294363795 3953236554 4172860807 4612109313 5490606325 6588727590 7686848855 8345721614 9224218626 9883091385 10981212650 12518582421 13836327939 15373697710 16471818975 19766182770 20864304035 23060546565 25037164842 27672655878 29210025649 32943637950 37555747263 38434244275 41728608070 46121093130 49415456925 58420051298 62592912105 69181639695 75111494526 76868488550 87630076947 98830913850 104321520175 115302732825 125185824210 138363279390 146050128245 175260153894 187778736315 208643040350 230605465650 262890230841 292100256490 312964560525 345908198475 375557472630 438150384735 525780461682 625929121050 691816396950 730250641225 876300769470 938893681575 1314451154205 1460501282450 1877787363150 2190751923675 2628902308410 4381503847350 6572255771025 13144511542050