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13454563340 = 22529191121453
BaseRepresentation
bin11001000011111010…
…00101100000001100
31021201200010122010202
430201331011200030
5210023332011330
610103025553032
7654262621121
oct144175054014
937650118122
1013454563340
115784828639
122735aa5778
1313656087aa
14918c94748
1553b2e2445
hex321f4580c

13454563340 has 48 divisors (see below), whose sum is σ = 29382151680. Its totient is φ = 5168997120.

The previous prime is 13454563337. The next prime is 13454563357. The reversal of 13454563340 is 4336545431.

It is a junction number, because it is equal to n+sod(n) for n = 13454563294 and 13454563303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50054 + ... + 171506.

It is an arithmetic number, because the mean of its divisors is an integer number (612128160).

Almost surely, 213454563340 is an apocalyptic number.

13454563340 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 13454563340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691075840).

13454563340 is an abundant number, since it is smaller than the sum of its proper divisors (15927588340).

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

13454563340 is a wasteful number, since it uses less digits than its factorization.

13454563340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121682 (or 121680 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 13454563340 in words is "thirteen billion, four hundred fifty-four million, five hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 191 290 382 580 764 955 1910 3820 5539 11078 22156 27695 55390 110780 121453 242906 485812 607265 1214530 2429060 3522137 7044274 14088548 17610685 23197523 35221370 46395046 70442740 92790092 115987615 231975230 463950460 672728167 1345456334 2690912668 3363640835 6727281670 13454563340