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14330552330200 = 2352167881487013
BaseRepresentation
bin1101000010001001011101…
…1110110010011111011000
31212201222122211110011110211
43100202113132302133120
53334242432344031300
650251210450420504
73006230305660051
oct320422736623730
955658584404424
1014330552330200
11462560a214857
121735434b91734
137cc4996c2942
14377861113728
1519cb859394ba
hexd08977b27d8

14330552330200 has 96 divisors (see below), whose sum is σ = 33556160705760. Its totient is φ = 5691417036800.

The previous prime is 14330552330173. The next prime is 14330552330209. The reversal of 14330552330200 is 203325503341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330552330209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29181894 + ... + 29668906.

It is an arithmetic number, because the mean of its divisors is an integer number (349543340685).

Almost surely, 214330552330200 is an apocalyptic number.

14330552330200 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 14330552330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778080352880).

14330552330200 is an abundant number, since it is smaller than the sum of its proper divisors (19225608375560).

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

14330552330200 is a wasteful number, since it uses less digits than its factorization.

14330552330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488077 (or 488068 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

Adding to 14330552330200 its reverse (203325503341), we get a palindrome (14533877833541).

The spelling of 14330552330200 in words is "fourteen trillion, three hundred thirty billion, five hundred fifty-two million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 881 1336 1670 1762 3340 3524 4175 4405 6680 7048 8350 8810 16700 17620 22025 33400 35240 44050 88100 147127 176200 294254 487013 588508 735635 974026 1177016 1471270 1948052 2435065 2942540 3678175 3896104 4870130 5885080 7356350 9740260 12175325 14712700 19480520 24350650 29425400 48701300 81331171 97402600 162662342 325324684 406655855 429058453 650649368 813311710 858116906 1626623420 1716233812 2033279275 2145292265 3253246840 3432467624 4066558550 4290584530 8133117100 8581169060 10726461325 16266234200 17162338120 21452922650 42905845300 71652761651 85811690600 143305523302 286611046604 358263808255 573222093208 716527616510 1433055233020 1791319041275 2866110466040 3582638082550 7165276165100 14330552330200