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4334414344221 = 313213152153369
BaseRepresentation
bin111111000100101111001…
…110100011000000011101
3120100100212210021112220210
4333010233032203000131
51032003340033003341
613115111422003033
7625102554014523
oct77045716430035
916310783245823
104334414344221
11142123a999065
125a0056716479
1325596c705420
1410db02c9a313
1577b34ab1c16
hex3f12f3a301d

4334414344221 has 16 divisors (see below), whose sum is σ = 6226695151040. Its totient is φ = 2666080172160.

The previous prime is 4334414344219. The next prime is 4334414344223. The reversal of 4334414344221 is 1224434144334.

It is a happy number.

4334414344221 is digitally balanced in base 3, 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 (4334414344219) and next prime (4334414344223).

It is not a de Polignac number, because 4334414344221 - 21 = 4334414344219 is a prime.

It is a super-2 number, since 2×43344143442212 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4334414344221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334414344223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25993576 + ... + 26159793.

It is an arithmetic number, because the mean of its divisors is an integer number (389168446940).

Almost surely, 24334414344221 is an apocalyptic number.

It is an amenable number.

4334414344221 is a deficient number, since it is larger than the sum of its proper divisors (1892280806819).

4334414344221 is a wasteful number, since it uses less digits than its factorization.

4334414344221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52155516.

The product of its digits is 442368, while the sum is 39.

Adding to 4334414344221 its reverse (1224434144334), we get a palindrome (5558848488555).

The spelling of 4334414344221 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 13 39 2131 6393 27703 83109 52153369 156460107 677993797 2033981391 111138829339 333416488017 1444804781407 4334414344221