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13431010041240 = 23351110175007607
BaseRepresentation
bin1100001101110010011010…
…0101010001110110011000
31202112222210011221012202020
43003130212211101312120
53230023202032304430
644322042033334440
72554233643453041
oct303344645216630
952488704835666
1013431010041240
114309072028050
12160b02a107420
13765700a0328c
143460c88358c8
151845886c0b10
hexc3726951d98

13431010041240 has 64 divisors (see below), whose sum is σ = 43956032866560. Its totient is φ = 3256002433920.

The previous prime is 13431010041151. The next prime is 13431010041257. The reversal of 13431010041240 is 4214001013431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13431010041240.

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, 5087502484 + ... + 5087505123.

It is an arithmetic number, because the mean of its divisors is an integer number (686813013540).

Almost surely, 213431010041240 is an apocalyptic number.

13431010041240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431010041240 is an abundant number, since it is smaller than the sum of its proper divisors (30525022825320).

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

13431010041240 is a wasteful number, since it uses less digits than its factorization.

13431010041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175007632 (or 10175007628 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13431010041240 its reverse (4214001013431), we get a palindrome (17645011054671).

The spelling of 13431010041240 in words is "thirteen trillion, four hundred thirty-one billion, ten million, forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 10175007607 20350015214 30525022821 40700030428 50875038035 61050045642 81400060856 101750076070 111925083677 122100091284 152625114105 203500152140 223850167354 244200182568 305250228210 335775251031 407000304280 447700334708 559625418385 610500456420 671550502062 895400669416 1119250836770 1221000912840 1343101004124 1678876255155 2238501673540 2686202008248 3357752510310 4477003347080 6715505020620 13431010041240