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13430042560 = 265115964667
BaseRepresentation
bin11001000000111111…
…00010111111000000
31021122221222211221201
430200133202333000
5210001042330220
610100352230544
7653544323014
oct144037427700
937587884851
1013430042560
1157719aa830
12272983b454
13136050175c
14915910544
1553909bd0a
hex3207e2fc0

13430042560 has 112 divisors (see below), whose sum is σ = 35479451520. Its totient is φ = 4800803840.

The previous prime is 13430042557. The next prime is 13430042567. The reversal of 13430042560 is 6524003431.

It is a super-2 number, since 2×134300425602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430042567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175347 + ... + 240013.

Almost surely, 213430042560 is an apocalyptic number.

13430042560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13430042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739725760).

13430042560 is an abundant number, since it is smaller than the sum of its proper divisors (22049408960).

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

13430042560 is a wasteful number, since it uses less digits than its factorization.

13430042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64754 (or 64744 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 13430042560 its reverse (6524003431), we get a palindrome (19954045991).

The spelling of 13430042560 in words is "thirteen billion, four hundred thirty million, forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 160 176 220 236 295 320 352 440 472 590 649 704 880 944 1180 1298 1760 1888 2360 2596 3245 3520 3776 4720 5192 6490 9440 10384 12980 18880 20768 25960 41536 51920 64667 103840 129334 207680 258668 323335 517336 646670 711337 1034672 1293340 1422674 2069344 2586680 2845348 3556685 3815353 4138688 5173360 5690696 7113370 7630706 10346720 11381392 14226740 15261412 19076765 20693440 22762784 28453480 30522824 38153530 41968883 45525568 56906960 61045648 76307060 83937766 113813920 122091296 152614120 167875532 209844415 227627840 244182592 305228240 335751064 419688830 610456480 671502128 839377660 1220912960 1343004256 1678755320 2686008512 3357510640 6715021280 13430042560