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13134042320 = 2457216720063
BaseRepresentation
bin11000011101101100…
…11001010011010000
31020220100000110221212
430032312121103100
5203344303323240
610011140035252
7643321342400
oct141666312320
936810013855
1013134042320
11562a908433
122666692b28
1313140a4399
148c849c800
1551d0cd165
hex30ed994d0

13134042320 has 120 divisors (see below), whose sum is σ = 35736712704. Its totient is φ = 4475912448.

The previous prime is 13134042289. The next prime is 13134042343. The reversal of 13134042320 is 2324043131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644609 + ... + 664671.

Almost surely, 213134042320 is an apocalyptic number.

13134042320 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 13134042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868356352).

13134042320 is an abundant number, since it is smaller than the sum of its proper divisors (22602670384).

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

13134042320 is a wasteful number, since it uses less digits than its factorization.

13134042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20257 (or 20244 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13134042320 its reverse (2324043131), we get a palindrome (15458085451).

The spelling of 13134042320 in words is "thirteen billion, one hundred thirty-four million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 167 196 245 280 334 392 490 560 668 784 835 980 1169 1336 1670 1960 2338 2672 3340 3920 4676 5845 6680 8183 9352 11690 13360 16366 18704 20063 23380 32732 40126 40915 46760 65464 80252 81830 93520 100315 130928 140441 160504 163660 200630 280882 321008 327320 401260 561764 654640 702205 802520 983087 1123528 1404410 1605040 1966174 2247056 2808820 3350521 3932348 4915435 5617640 6701042 7864696 9830870 11235280 13402084 15729392 16752605 19661740 23453647 26804168 33505210 39323480 46907294 53608336 67010420 78646960 93814588 117268235 134020840 164175529 187629176 234536470 268041680 328351058 375258352 469072940 656702116 820877645 938145880 1313404232 1641755290 1876291760 2626808464 3283510580 6567021160 13134042320