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4240401052005 = 335109288168607
BaseRepresentation
bin111101101101001011100…
…110010011000101100101
3120000101012211200110212000
4331231023212103011211
51023433320132131010
613004002514515513
7615234043143546
oct75551346230545
916011184613760
104240401052005
111395386935148
12585999895b99
13249b392b9531
14109344d884cd
15754812367c0
hex3db4b993165

4240401052005 has 32 divisors (see below), whose sum is σ = 7607651251200. Its totient is φ = 2240799080256.

The previous prime is 4240401052001. The next prime is 4240401052073. The reversal of 4240401052005 is 5002501040424.

4240401052005 is a `hidden beast` number, since 42 + 404 + 0 + 10 + 5 + 200 + 5 = 666.

It is not a de Polignac number, because 4240401052005 - 22 = 4240401052001 is a prime.

It is a super-2 number, since 2×42404010520052 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4240401052005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240401052001) 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, 144069589 + ... + 144099018.

It is an arithmetic number, because the mean of its divisors is an integer number (237739101600).

Almost surely, 24240401052005 is an apocalyptic number.

4240401052005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4240401052005 is a deficient number, since it is larger than the sum of its proper divisors (3367250199195).

4240401052005 is a wasteful number, since it uses less digits than its factorization.

4240401052005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288168730 (or 288168724 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 4240401052005 its reverse (5002501040424), we get a palindrome (9242902092429).

The spelling of 4240401052005 in words is "four trillion, two hundred forty billion, four hundred one million, fifty-two thousand, five".

Divisors: 1 3 5 9 15 27 45 109 135 327 545 981 1635 2943 4905 14715 288168607 864505821 1440843035 2593517463 4322529105 7780552389 12967587315 31410378163 38902761945 94231134489 157051890815 282693403467 471155672445 848080210401 1413467017335 4240401052005