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4400412141 = 3171923347569
BaseRepresentation
bin1000001100100100…
…01111010111101101
3102100200011002122110
410012102033113231
533003001142031
62004352034233
7214021612626
oct40622172755
912320132573
104400412141
111958a10854
12a29832979
13551878788
142da5c4a4d
151ab4bac46
hex10648f5ed

4400412141 has 64 divisors (see below), whose sum is σ = 6855321600. Its totient is φ = 2490402816.

The previous prime is 4400412127. The next prime is 4400412143. The reversal of 4400412141 is 1412140044.

It is not a de Polignac number, because 4400412141 - 27 = 4400412013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400412143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7733305 + ... + 7733873.

It is an arithmetic number, because the mean of its divisors is an integer number (107114400).

Almost surely, 24400412141 is an apocalyptic number.

It is an amenable number.

4400412141 is a deficient number, since it is larger than the sum of its proper divisors (2454909459).

4400412141 is a wasteful number, since it uses less digits than its factorization.

4400412141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4400412141 is about 66335.6023640398. The cubic root of 4400412141 is about 1638.6937026172.

Adding to 4400412141 its reverse (1412140044), we get a palindrome (5812552185).

The spelling of 4400412141 in words is "four billion, four hundred million, four hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 17 19 23 51 57 69 323 347 391 437 569 969 1041 1173 1311 1707 5899 6593 7429 7981 9673 10811 13087 17697 19779 22287 23943 29019 32433 39261 112081 135677 151639 183787 197443 222479 248653 336243 407031 454917 551361 592329 667437 745959 2577863 3356531 3751417 4227101 4541189 7733589 10069593 11254251 12681303 13623567 63774089 77200213 86282591 191322267 231600639 258847773 1466804047 4400412141