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443324414112 = 25331148966537
BaseRepresentation
bin1100111001110000011…
…00011011100010100000
31120101022001002122022220
412130320030123202200
524230412022222422
6535354352431040
744012664226146
oct6347014334240
91511261078286
10443324414112
1116101608aa18
1271b04548480
1332a61370538
14176580a3596
15b7ea1a6e5c
hex673831b8a0

443324414112 has 48 divisors (see below), whose sum is σ = 1201266162432. Its totient is φ = 143007874560.

The previous prime is 443324414107. The next prime is 443324414129. The reversal of 443324414112 is 211414423344.

It is a happy number.

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

It is a super-2 number, since 2×4433244141122 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 74480293 + ... + 74486244.

It is an arithmetic number, because the mean of its divisors is an integer number (25026378384).

Almost surely, 2443324414112 is an apocalyptic number.

It is an amenable number.

443324414112 is an abundant number, since it is smaller than the sum of its proper divisors (757941748320).

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

443324414112 is a wasteful number, since it uses less digits than its factorization.

443324414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148966581 (or 148966573 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 443324414112 its reverse (211414423344), we get a palindrome (654738837456).

The spelling of 443324414112 in words is "four hundred forty-three billion, three hundred twenty-four million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 148966537 297933074 446899611 595866148 893799222 1191732296 1787598444 2383464592 3575196888 4617962647 4766929184 7150393776 9235925294 13853887941 14300787552 18471850588 27707775882 36943701176 55415551764 73887402352 110831103528 147774804704 221662207056 443324414112