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240240442401 = 3342121134903
BaseRepresentation
bin1101111110111101110…
…0100011110000100001
3211222002202202221222000
43133233130203300201
512414003023124101
6302210454234213
723233245032031
oct3375734436041
9758082687860
10240240442401
1192981515173
123a688055969
1319868148a3b
14b8b059b8c1
1563b1103486
hex37ef723c21

240240442401 has 16 divisors (see below), whose sum is σ = 356757179520. Its totient is φ = 159779859120.

The previous prime is 240240442361. The next prime is 240240442411. The reversal of 240240442401 is 104244042042.

It is not a de Polignac number, because 240240442401 - 210 = 240240441377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (240240442411) 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, 10556085 + ... + 10578818.

It is an arithmetic number, because the mean of its divisors is an integer number (22297323720).

Almost surely, 2240240442401 is an apocalyptic number.

It is an amenable number.

240240442401 is a deficient number, since it is larger than the sum of its proper divisors (116516737119).

240240442401 is a wasteful number, since it uses less digits than its factorization.

240240442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21135333 (or 21135327 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 240240442401 its reverse (104244042042), we get a palindrome (344484484443).

The spelling of 240240442401 in words is "two hundred forty billion, two hundred forty million, four hundred forty-two thousand, four hundred one".

Divisors: 1 3 9 27 421 1263 3789 11367 21134903 63404709 190214127 570642381 8897794163 26693382489 80080147467 240240442401