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14215153320000 = 2634545382781
BaseRepresentation
bin1100111011011011100100…
…1010100000000001000000
31212022221210110212001110000
43032312321022200001000
53330400113222220000
650122203513240000
72665003515402063
oct316667112400100
955287713761400
1014215153320000
114590681508446
121716baa103000
137c16387b1259
14372034c848da
15199b7e870000
hexcedb92a0040

14215153320000 has 700 divisors, whose sum is σ = 53650009060956. Its totient is φ = 3719139840000.

The previous prime is 14215153319999. The next prime is 14215153320013. The reversal of 14215153320000 is 2335151241.

14215153320000 is a `hidden beast` number, since 1 + 421 + 5 + 1 + 5 + 33 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 12123265495104 + 2091887824896 = 3481848^2 + 1446336^2 .

It is a super-2 number, since 2×142151533200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 99 ways as a sum of consecutive naturals, for example, 171678610 + ... + 171761390.

Almost surely, 214215153320000 is an apocalyptic number.

14215153320000 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 14215153320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26825004530478).

14215153320000 is an abundant number, since it is smaller than the sum of its proper divisors (39434855740956).

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

14215153320000 is an frugal number, since it uses more digits than its factorization.

14215153320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82878 (or 82844 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 14215153320000 its reverse (2335151241), we get a palindrome (14217488471241).

The spelling of 14215153320000 in words is "fourteen trillion, two hundred fifteen billion, one hundred fifty-three million, three hundred twenty thousand".