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13240414040 = 235767705779
BaseRepresentation
bin11000101010011000…
…01010111101011000
31021011202011201112012
430111030022331120
5204104021222130
610025500005052
7646052443130
oct142514127530
937152151465
1013240414040
115684961047
122696230788
131330139129
148d866bac0
155275e0995
hex31530af58

13240414040 has 64 divisors (see below), whose sum is σ = 34554988800. Its totient is φ = 4471809408.

The previous prime is 13240413899. The next prime is 13240414051. The reversal of 13240414040 is 4041404231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13240413997 and 13240414015.

It is a congruent number.

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, 334130 + ... + 371649.

It is an arithmetic number, because the mean of its divisors is an integer number (539921700).

Almost surely, 213240414040 is an apocalyptic number.

13240414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13240414040 is an abundant number, since it is smaller than the sum of its proper divisors (21314574760).

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

13240414040 is a wasteful number, since it uses less digits than its factorization.

13240414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705864 (or 705860 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13240414040 its reverse (4041404231), we get a palindrome (17281818271).

The spelling of 13240414040 in words is "thirteen billion, two hundred forty million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4690 9380 18760 705779 1411558 2823116 3528895 4940453 5646232 7057790 9880906 14115580 19761812 24702265 28231160 39523624 47287193 49404530 94574386 98809060 189148772 197618120 236435965 331010351 378297544 472871930 662020702 945743860 1324041404 1655051755 1891487720 2648082808 3310103510 6620207020 13240414040