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43212140431201 = 775124371337283
BaseRepresentation
bin10011101001101000111000…
…10001111100011101100001
312200000001002100211210000001
421310310130101330131201
521130441430422244301
6231523214441300001
712046655060156020
oct1164643421743541
9180001070753001
1043212140431201
111285019080a665
124a1a976494601
131b15b6c6a9a21
14a9569b9c88b7
154ee0a8644c01
hex274d1c47c761

43212140431201 has 16 divisors (see below), whose sum is σ = 49453238458368. Its totient is φ = 36988030530000.

The previous prime is 43212140431171. The next prime is 43212140431231. The reversal of 43212140431201 is 10213404121234.

It is a happy number.

43212140431201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (43212140431171) and next prime (43212140431231).

It is a cyclic number.

It is not a de Polignac number, because 43212140431201 - 29 = 43212140430689 is a prime.

It is a super-4 number, since 4×432121404312014 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43212140431201.

It is not an unprimeable number, because it can be changed into a prime (43212140431231) 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 15 ways as a sum of consecutive naturals, for example, 127949706 + ... + 128286988.

It is an arithmetic number, because the mean of its divisors is an integer number (3090827403648).

Almost surely, 243212140431201 is an apocalyptic number.

It is an amenable number.

43212140431201 is a deficient number, since it is larger than the sum of its proper divisors (6241098027167).

43212140431201 is a wasteful number, since it uses less digits than its factorization.

43212140431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362412.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 43212140431201 its reverse (10213404121234), we get a palindrome (53425544552435).

The spelling of 43212140431201 in words is "forty-three trillion, two hundred twelve billion, one hundred forty million, four hundred thirty-one thousand, two hundred one".

Divisors: 1 7 751 5257 24371 170597 337283 2360981 18302621 128118347 253299533 1773096731 8219923993 57539467951 6173162918743 43212140431201