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4121240331441 = 36727113013313
BaseRepresentation
bin111011111110001101000…
…100001110010010110001
3112120222122022202200022010
4323332031010032102301
51020010300011101231
612433134403033133
7603515114552142
oct73761504162261
915528568680263
104121240331441
1113498987aa0a2
1256688306b7a9
1323b828c5891c
1410367d2b3ac9
1572309cb6546
hex3bf8d10e4b1

4121240331441 has 48 divisors (see below), whose sum is σ = 5662849304448. Its totient is φ = 2665510848000.

The previous prime is 4121240331379. The next prime is 4121240331487. The reversal of 4121240331441 is 1441330421214.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-4121240331441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4121240331399 and 4121240331408.

It is not an unprimeable number, because it can be changed into a prime (4121240331491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243958601 + ... + 1243961913.

It is an arithmetic number, because the mean of its divisors is an integer number (117976027176).

Almost surely, 24121240331441 is an apocalyptic number.

It is an amenable number.

4121240331441 is a deficient number, since it is larger than the sum of its proper divisors (1541608973007).

4121240331441 is a wasteful number, since it uses less digits than its factorization.

4121240331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 4121240331441 its reverse (1441330421214), we get a palindrome (5562570752655).

The spelling of 4121240331441 in words is "four trillion, one hundred twenty-one billion, two hundred forty million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 67 71 201 213 1301 3313 3903 4489 4757 9939 13467 14271 87167 92371 221971 235223 261501 277113 318719 665913 705669 956157 4310213 5840189 6188857 12930639 14872057 15759941 17520567 18566571 44616171 47279823 288784271 306025123 414653419 866352813 918075369 1055916047 1243960257 3167748141 19348546157 20503683241 58045638471 61511049723 1373746777147 4121240331441