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14302046720 = 295133131373
BaseRepresentation
bin11010101000111011…
…11110101000000000
31100220201211020210002
431110131332220000
5213242310443340
610323102255132
71014263251133
oct152435765000
940821736702
1014302046720
11607a150425
1229318874a8
13146c075450
1499966021a
1558a8e8715
hex35477ea00

14302046720 has 160 divisors (see below), whose sum is σ = 37074158352. Its totient is φ = 5260050432.

The previous prime is 14302046713. The next prime is 14302046747. The reversal of 14302046720 is 2764020341.

It can be written as a sum of positive squares in 8 ways, for example, as 3349168384 + 10952878336 = 57872^2 + 104656^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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, 10415954 + ... + 10417326.

Almost surely, 214302046720 is an apocalyptic number.

14302046720 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 14302046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18537079176).

14302046720 is an abundant number, since it is smaller than the sum of its proper divisors (22772111632).

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

14302046720 is a wasteful number, since it uses less digits than its factorization.

14302046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 14302046720 in words is "fourteen billion, three hundred two million, forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 313 320 416 512 520 626 640 832 1040 1252 1280 1373 1565 1664 2080 2504 2560 2746 3130 3328 4069 4160 5008 5492 6260 6656 6865 8138 8320 10016 10984 12520 13730 16276 16640 17849 20032 20345 21968 25040 27460 32552 33280 35698 40064 40690 43936 50080 54920 65104 71396 80128 81380 87872 89245 100160 109840 130208 142792 160256 162760 175744 178490 200320 219680 260416 285584 325520 351488 356980 400640 429749 439360 520832 571168 651040 702976 713960 801280 859498 878720 1041664 1142336 1302080 1427920 1718996 1757440 2083328 2148745 2284672 2604160 2855840 3437992 3514880 4297490 4569344 5208320 5586737 5711680 6875984 8594980 9138688 10416640 11173474 11423360 13751968 17189960 22346948 22846720 27503936 27933685 34379920 44693896 45693440 55007872 55867370 68759840 89387792 110015744 111734740 137519680 178775584 220031488 223469480 275039360 357551168 446938960 550078720 715102336 893877920 1100157440 1430204672 1787755840 2860409344 3575511680 7151023360 14302046720