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4202334414221 = 172971281427247
BaseRepresentation
bin111101001001101110101…
…001100110010110001101
3112212201221220120220201112
4331021232221212112031
51022322340102223341
612534305322421405
7612415523103356
oct75115651462615
915781856526645
104202334414221
111380222249819
1257a535361865
1324638094bca8
1410757348ad2d
15744a434caeb
hex3d26ea6658d

4202334414221 has 32 divisors (see below), whose sum is σ = 4684415431680. Its totient is φ = 3751561676800.

The previous prime is 4202334414217. The next prime is 4202334414241. The reversal of 4202334414221 is 1224144332024.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4202334414221 - 22 = 4202334414217 is a prime.

It is a super-2 number, since 2×42023344142212 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202334414241) 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 31 ways as a sum of consecutive naturals, for example, 9622220 + ... + 10049466.

It is an arithmetic number, because the mean of its divisors is an integer number (146387982240).

Almost surely, 24202334414221 is an apocalyptic number.

It is an amenable number.

4202334414221 is a deficient number, since it is larger than the sum of its proper divisors (482081017459).

4202334414221 is a wasteful number, since it uses less digits than its factorization.

4202334414221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427645.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4202334414221 its reverse (1224144332024), we get a palindrome (5426478746245).

The spelling of 4202334414221 in words is "four trillion, two hundred two billion, three hundred thirty-four million, four hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 17 29 71 281 493 1207 2059 4777 8149 19951 35003 138533 339167 427247 578579 7263199 9835843 12390163 30334537 120056407 210632771 515687129 879701573 2040958919 3481635803 8524004897 14954926741 59187808651 144908083249 247196142013 4202334414221