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13314520000 = 2654437741
BaseRepresentation
bin11000110011001101…
…10111001111000000
31021100220121200210101
430121212313033000
5204232004120000
610041104212144
7650642360365
oct143146671700
937326550711
1013314520000
115712776a41
1226b700a054
1313425b4802
1490443c46c
1552dd7ce6a
hex3199b73c0

13314520000 has 140 divisors (see below), whose sum is σ = 33787853176. Its totient is φ = 5201280000.

The previous prime is 13314519997. The next prime is 13314520001. The reversal of 13314520000 is 2541331.

13314520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13314520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1716130 + ... + 1723870.

Almost surely, 213314520000 is an apocalyptic number.

13314520000 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 13314520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16893926588).

13314520000 is an abundant number, since it is smaller than the sum of its proper divisors (20473333176).

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

13314520000 is an frugal number, since it uses more digits than its factorization.

13314520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 13314520000 in words is "thirteen billion, three hundred fourteen million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 160 172 200 215 250 320 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1600 1720 2000 2150 2500 2752 3440 4000 4300 5000 5375 6880 7741 8000 8600 10000 10750 13760 15482 17200 20000 21500 26875 30964 34400 38705 40000 43000 53750 61928 68800 77410 86000 107500 123856 154820 172000 193525 215000 247712 309640 332863 344000 387050 430000 495424 619280 665726 774100 860000 967625 1238560 1331452 1548200 1664315 1720000 1935250 2477120 2662904 3096400 3328630 3870500 4838125 5325808 6192800 6657260 7741000 8321575 9676250 10651616 12385600 13314520 15482000 16643150 19352500 21303232 26629040 30964000 33286300 38705000 41607875 53258080 61928000 66572600 77410000 83215750 106516160 133145200 154820000 166431500 208039375 266290400 309640000 332863000 416078750 532580800 665726000 832157500 1331452000 1664315000 2662904000 3328630000 6657260000 13314520000