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13034131440 = 2435114937171
BaseRepresentation
bin11000010001110010…
…10000111111110000
31020122101000110222220
430020321100333300
5203143214201230
65553210401040
7640666201131
oct141071207760
936571013886
1013034131440
115589477960
122639130180
1312c9492315
148b90d1c88
15514444d10
hex308e50ff0

13034131440 has 80 divisors (see below), whose sum is σ = 44079071616. Its totient is φ = 3159788800.

The previous prime is 13034131417. The next prime is 13034131459. The reversal of 13034131440 is 4413143031.

It is a tau number, because it is divible by the number of its divisors (80).

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 13034131440.

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, 2465946 + ... + 2471225.

Almost surely, 213034131440 is an apocalyptic number.

13034131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13034131440 is an abundant number, since it is smaller than the sum of its proper divisors (31044940176).

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

13034131440 is a wasteful number, since it uses less digits than its factorization.

13034131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937198 (or 4937192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13034131440 its reverse (4413143031), we get a palindrome (17447274471).

The spelling of 13034131440 in words is "thirteen billion, thirty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4937171 9874342 14811513 19748684 24685855 29623026 39497368 49371710 54308881 59246052 74057565 78994736 98743420 108617762 118492104 148115130 162926643 197486840 217235524 236984208 271544405 296230260 325853286 394973680 434471048 543088810 592460520 651706572 814633215 868942096 1086177620 1184921040 1303413144 1629266430 2172355240 2606826288 3258532860 4344710480 6517065720 13034131440