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4141432444401 = 327121754015631
BaseRepresentation
bin111100010001000000100…
…111000001010111110001
3112122220202112210021222200
4330101000213001113301
51020323123201210101
612450314154053413
7605131361644140
oct74210047012761
915586675707880
104141432444401
11135740a71445a
1256a77941a269
132406c6388965
14104636cc7757
1572adc82e986
hex3c4409c15f1

4141432444401 has 24 divisors (see below), whose sum is σ = 6842268136704. Its totient is φ = 2364588218880.

The previous prime is 4141432444399. The next prime is 4141432444403. The reversal of 4141432444401 is 1044442341414.

4141432444401 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 3 + 244 + 4 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (4141432444399) and next prime (4141432444403).

It is not a de Polignac number, because 4141432444401 - 21 = 4141432444399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4141432444403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26931145 + ... + 27084486.

It is an arithmetic number, because the mean of its divisors is an integer number (285094505696).

Almost surely, 24141432444401 is an apocalyptic number.

It is an amenable number.

4141432444401 is a deficient number, since it is larger than the sum of its proper divisors (2700835692303).

4141432444401 is a wasteful number, since it uses less digits than its factorization.

4141432444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54016861 (or 54016858 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 4141432444401 its reverse (1044442341414), we get a palindrome (5185874785815).

The spelling of 4141432444401 in words is "four trillion, one hundred forty-one billion, four hundred thirty-two million, four hundred forty-four thousand, four hundred one".

Divisors: 1 3 7 9 21 63 1217 3651 8519 10953 25557 76671 54015631 162046893 378109417 486140679 1134328251 3402984753 65737022927 197211068781 460159160489 591633206343 1380477481467 4141432444401