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13436413465230 = 2325728375362687
BaseRepresentation
bin1100001110000110100010…
…1001101101001010001110
31202120111201202102120222200
43003201220221231022032
53230120233321341410
644324334135422330
72554514565012540
oct303415051551216
952514652376880
1013436413465230
114310395129508
1216100978249a6
13766082301a92
1434647c30d690
151847a2c653c0
hexc3868a6d28e

13436413465230 has 96 divisors (see below), whose sum is σ = 40066422349824. Its totient is φ = 3060327953088.

The previous prime is 13436413465219. The next prime is 13436413465249. The reversal of 13436413465230 is 3256431463431.

13436413465230 is a `hidden beast` number, since 1 + 3 + 4 + 36 + 41 + 346 + 5 + 230 = 666.

It is a super-2 number, since 2×134364134652302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37503054 + ... + 37859633.

It is an arithmetic number, because the mean of its divisors is an integer number (417358566144).

Almost surely, 213436413465230 is an apocalyptic number.

13436413465230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13436413465230 is an abundant number, since it is smaller than the sum of its proper divisors (26630008884594).

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

13436413465230 is a wasteful number, since it uses less digits than its factorization.

13436413465230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75362990 (or 75362987 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 13436413465230 in words is "thirteen trillion, four hundred thirty-six billion, four hundred thirteen million, four hundred sixty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 283 315 566 630 849 1415 1698 1981 2547 2830 3962 4245 5094 5943 8490 9905 11886 12735 17829 19810 25470 29715 35658 59430 89145 178290 75362687 150725374 226088061 376813435 452176122 527538809 678264183 753626870 1055077618 1130440305 1356528366 1582616427 2260880610 2637694045 3165232854 3391320915 4747849281 5275388090 6782641830 7913082135 9495698562 15826164270 21327640421 23739246405 42655280842 47478492810 63982921263 106638202105 127965842526 149293482947 191948763789 213276404210 298586965894 319914606315 383897527578 447880448841 639829212630 746467414735 895760897682 959743818945 1343641346523 1492934829470 1919487637890 2239402244205 2687282693046 4478804488410 6718206732615 13436413465230