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14465361000 = 233534879901
BaseRepresentation
bin11010111100011001…
…11110010001101000
31101100010010110212010
431132030332101220
5214111113023000
610351214515520
71021315353066
oct153614762150
941303113763
1014465361000
116153356902
122978505ba0
131496b5660c
149b3213036
15599e07d50
hex35e33e468

14465361000 has 128 divisors (see below), whose sum is σ = 45229167360. Its totient is φ = 3849120000.

The previous prime is 14465360999. The next prime is 14465361017. The reversal of 14465361000 is 16356441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456050 + ... + 1465950.

It is an arithmetic number, because the mean of its divisors is an integer number (353352870).

Almost surely, 214465361000 is an apocalyptic number.

14465361000 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 14465361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22614583680).

14465361000 is an abundant number, since it is smaller than the sum of its proper divisors (30763806360).

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

14465361000 is a wasteful number, since it uses less digits than its factorization.

14465361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 14465361000 in words is "fourteen billion, four hundred sixty-five million, three hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 487 500 600 750 974 1000 1461 1500 1948 2435 2922 3000 3896 4870 5844 7305 9740 9901 11688 12175 14610 19480 19802 24350 29220 29703 36525 39604 48700 49505 58440 59406 60875 73050 79208 97400 99010 118812 121750 146100 148515 182625 198020 237624 243500 247525 292200 297030 365250 396040 487000 495050 594060 730500 742575 990100 1188120 1237625 1461000 1485150 1980200 2475250 2970300 3712875 4821787 4950500 5940600 7425750 9643574 9901000 14465361 14851500 19287148 24108935 28930722 29703000 38574296 48217870 57861444 72326805 96435740 115722888 120544675 144653610 192871480 241089350 289307220 361634025 482178700 578614440 602723375 723268050 964357400 1205446750 1446536100 1808170125 2410893500 2893072200 3616340250 4821787000 7232680500 14465361000