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1314424521330 = 23517113181126011
BaseRepresentation
bin10011001000001001110…
…011101000001001110010
311122122202111122001120220
4103020021303220021302
5133013420134140310
62443501023113510
7163651444041414
oct23101163501162
94578674561526
101314424521330
114674984145a8
121928b2142896
1396c46651c6b
14478931aa9b4
15242d0462670
hex13209ce8272

1314424521330 has 128 divisors (see below), whose sum is σ = 3388388080896. Its totient is φ = 325166284800.

The previous prime is 1314424521281. The next prime is 1314424521433. The reversal of 1314424521330 is 331254244131.

It is a junction number, because it is equal to n+sod(n) for n = 1314424521291 and 1314424521300.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10368025 + ... + 10494035.

It is an arithmetic number, because the mean of its divisors is an integer number (26471781882).

Almost surely, 21314424521330 is an apocalyptic number.

1314424521330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314424521330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694194040448).

1314424521330 is an abundant number, since it is smaller than the sum of its proper divisors (2073963559566).

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

1314424521330 is a wasteful number, since it uses less digits than its factorization.

1314424521330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126332.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 1314424521330 its reverse (331254244131), we get a palindrome (1645678765461).

The spelling of 1314424521330 in words is "one trillion, three hundred fourteen billion, four hundred twenty-four million, five hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 113 170 181 226 255 339 362 510 543 565 678 905 1086 1130 1695 1810 1921 2715 3077 3390 3842 5430 5763 6154 9231 9605 11526 15385 18462 19210 20453 28815 30770 40906 46155 57630 61359 92310 102265 122718 126011 204530 252022 306795 347701 378033 613590 630055 695402 756066 1043103 1260110 1738505 1890165 2086206 2142187 3477010 3780330 4284374 5215515 6426561 10431030 10710935 12853122 14239243 21421870 22807991 28478486 32132805 42717729 45615982 64265610 68423973 71196215 85435458 114039955 136847946 142392430 213588645 228079910 242067131 342119865 387735847 427177290 484134262 684239730 726201393 775471694 1163207541 1210335655 1452402786 1938679235 2326415082 2420671310 2577302983 3631006965 3877358470 5154605966 5816037705 7262013930 7731908949 11632075410 12886514915 15463817898 25773029830 38659544745 43814150711 77319089490 87628301422 131442452133 219070753555 262884904266 438141507110 657212260665 1314424521330