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13115142351450 = 232521711315171661
BaseRepresentation
bin1011111011011001101101…
…1001101010101001011010
31201102210110211011000200200
42332312123121222221122
53204334302420221300
643521002504443030
72522352311422206
oct276663331525132
951383424130620
1013115142351450
1141a7111a45637
121579976779476
137419a2665619
14334ac2163b06
1517b24ce54200
hexbed9b66aa5a

13115142351450 has 144 divisors (see below), whose sum is σ = 37638890762616. Its totient is φ = 3262513766400.

The previous prime is 13115142351407. The next prime is 13115142351461. The reversal of 13115142351450 is 5415324151131.

13115142351450 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 51 + 42 + 3 + 514 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1536169372929 + 11578972978521 = 1239423^2 + 3402789^2 .

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, 6721381 + ... + 8450280.

Almost surely, 213115142351450 is an apocalyptic number.

13115142351450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13115142351450 is an abundant number, since it is smaller than the sum of its proper divisors (24523748411166).

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

13115142351450 is a wasteful number, since it uses less digits than its factorization.

13115142351450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15171809 (or 15171801 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 13115142351450 in words is "thirteen trillion, one hundred fifteen billion, one hundred forty-two million, three hundred fifty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 113 150 153 170 225 226 255 306 339 425 450 510 565 678 765 850 1017 1130 1275 1530 1695 1921 2034 2550 2825 3390 3825 3842 5085 5650 5763 7650 8475 9605 10170 11526 16950 17289 19210 25425 28815 34578 48025 50850 57630 86445 96050 144075 172890 288150 432225 864450 15171661 30343322 45514983 75858305 91029966 136544949 151716610 227574915 257918237 273089898 379291525 455149830 515836474 682724745 758583050 773754711 1137874575 1289591185 1365449490 1547509422 1714397693 2275749150 2321264133 2579182370 3413623725 3428795386 3868773555 4642528266 5143193079 6447955925 6827247450 7737547110 8571988465 10286386158 11606320665 12895911850 15429579237 17143976930 19343867775 23212641330 25715965395 29144760781 30859158474 38687735550 42859942325 51431930790 58031603325 58289521562 77147896185 85719884650 87434282343 116063206650 128579826975 145723803905 154295792370 174868564686 257159653950 262302847029 291447607810 385739480925 437171411715 524605694058 728619019525 771478961850 874342823430 1311514235145 1457238039050 2185857058575 2623028470290 4371714117150 6557571175725 13115142351450