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10014004320 = 253520862509
BaseRepresentation
bin10010101001110000…
…11001010001100000
3221211220010010102220
421110320121101200
5131002041114240
64333402511040
7503104426605
oct112470312140
927756103386
1010014004320
11427970a731
121b35805480
13c37881858
146add6a6ac
153d92275d0
hex254e19460

10014004320 has 48 divisors (see below), whose sum is σ = 31544115120. Its totient is φ = 2670401024.

The previous prime is 10014004313. The next prime is 10014004331. The reversal of 10014004320 is 2340041001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10014004320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10430775 + ... + 10431734.

It is an arithmetic number, because the mean of its divisors is an integer number (657169065).

Almost surely, 210014004320 is an apocalyptic number.

10014004320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014004320 is an abundant number, since it is smaller than the sum of its proper divisors (21530110800).

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

10014004320 is a wasteful number, since it uses less digits than its factorization.

10014004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20862527 (or 20862519 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10014004320 its reverse (2340041001), we get a palindrome (12354045321).

The spelling of 10014004320 in words is "ten billion, fourteen million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20862509 41725018 62587527 83450036 104312545 125175054 166900072 208625090 250350108 312937635 333800144 417250180 500700216 625875270 667600288 834500360 1001400432 1251750540 1669000720 2002800864 2503501080 3338001440 5007002160 10014004320