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14310402320000 = 2754178880029
BaseRepresentation
bin1101000000111110011001…
…1100100110011010000000
31212200001122112122120220202
43100033212130212122000
53333430200443220000
650234035202024332
73004615052501453
oct320174634463200
955601575576822
1014310402320000
11461800a046966
1217315509480a8
137ca607c14597
143768acd3d49a
1519c3a693add5
hexd03e6726680

14310402320000 has 80 divisors (see below), whose sum is σ = 35624852374650. Its totient is φ = 5724160896000.

The previous prime is 14310402319957. The next prime is 14310402320023. The reversal of 14310402320000 is 2320401341.

It can be written as a sum of positive squares in 5 ways, for example, as 151919093824 + 14158483226176 = 389768^2 + 3762776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×143104023200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 89360015 + ... + 89520014.

Almost surely, 214310402320000 is an apocalyptic number.

14310402320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14310402320000 is an abundant number, since it is smaller than the sum of its proper divisors (21314450054650).

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

14310402320000 is an frugal number, since it uses more digits than its factorization.

14310402320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178880063 (or 178880036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14310402320000 its reverse (2320401341), we get a palindrome (14312722721341).

The spelling of 14310402320000 in words is "fourteen trillion, three hundred ten billion, four hundred two million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 178880029 357760058 715520116 894400145 1431040232 1788800290 2862080464 3577600580 4472000725 5724160928 7155201160 8944001450 11448321856 14310402320 17888002900 22360003625 22896643712 28620804640 35776005800 44720007250 57241609280 71552011600 89440014500 111800018125 114483218560 143104023200 178880029000 223600036250 286208046400 357760058000 447200072500 572416092800 715520116000 894400145000 1431040232000 1788800290000 2862080464000 3577600580000 7155201160000 14310402320000