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5015312442441 = 34743920148857
BaseRepresentation
bin100100011111011011111…
…1010101010010001001001
3122202110101202011210120000
41020332313322222101021
51124132324441124231
614400000331153213
71025226055242360
oct110766772522111
918673352153500
105015312442441
111663a89141174
12690001ba5809
132a4c325765b2
14134a5729c7d7
158a6d6ba16e6
hex48fb7eaa449

5015312442441 has 40 divisors (see below), whose sum is σ = 8581801599360. Its totient is φ = 2859364452672.

The previous prime is 5015312442403. The next prime is 5015312442449. The reversal of 5015312442441 is 1442442135105.

5015312442441 is a `hidden beast` number, since 5 + 0 + 1 + 53 + 124 + 42 + 441 = 666.

It is not a de Polignac number, because 5015312442441 - 210 = 5015312441417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5015312442396 and 5015312442405.

It is not an unprimeable number, because it can be changed into a prime (5015312442449) 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 39 ways as a sum of consecutive naturals, for example, 9825516 + ... + 10323341.

It is an arithmetic number, because the mean of its divisors is an integer number (214545039984).

Almost surely, 25015312442441 is an apocalyptic number.

It is an amenable number.

5015312442441 is a deficient number, since it is larger than the sum of its proper divisors (3566489156919).

5015312442441 is a wasteful number, since it uses less digits than its factorization.

5015312442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20149315 (or 20149306 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 5015312442441 its reverse (1442442135105), we get a palindrome (6457754577546).

The spelling of 5015312442441 in words is "five trillion, fifteen billion, three hundred twelve million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 439 567 1317 3073 3951 9219 11853 27657 35559 82971 248913 20148857 60446571 141041999 181339713 423125997 544019139 1269377991 1632057417 3808133973 8845348223 11424401919 26536044669 61917437561 79608134007 185752312683 238824402021 557256938049 716473206063 1671770814147 5015312442441