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43201444221416 = 23132176591809487
BaseRepresentation
bin10011101001010100111101…
…01111001001000111101000
312122222000110221001000121002
421310222132233021013220
521130303024210041131
6231514245224334132
712046126026656645
oct1164523657110750
9178860427030532
1043201444221416
11128466a2004968
124a18890314348
131b14b566a9400
14a94d651d6dcc
154edb7e5b26cb
hex274a9ebc91e8

43201444221416 has 48 divisors (see below), whose sum is σ = 87718006929600. Its totient is φ = 19937987963712.

The previous prime is 43201444221317. The next prime is 43201444221443. The reversal of 43201444221416 is 61412244410234.

It is a super-3 number, since 3×432014442214163 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 43201444221416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22970225 + ... + 24779711.

It is an arithmetic number, because the mean of its divisors is an integer number (1827458477700).

Almost surely, 243201444221416 is an apocalyptic number.

It is an amenable number.

43201444221416 is an abundant number, since it is smaller than the sum of its proper divisors (44516562708184).

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

43201444221416 is a wasteful number, since it uses less digits than its factorization.

43201444221416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827178 (or 1827161 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 43201444221416 in words is "forty-three trillion, two hundred one billion, four hundred forty-four million, two hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 17659 35318 70636 141272 229567 459134 918268 1809487 1836536 2984371 3618974 5968742 7237948 11937484 14475896 23523331 23874968 47046662 94093324 188186648 305803303 611606606 1223213212 2446426424 31953730933 63907461866 127814923732 255629847464 415398502129 830797004258 1661594008516 3323188017032 5400180527677 10800361055354 21600722110708 43201444221416