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313424301413444 = 221389379317854861
BaseRepresentation
bin100011101000011101100100…
…0001001100101010001000100
31112002202001220110102012100012
41013100323020021211101010
5312040120432130212234
63030333045240405352
7123006105240660404
oct10720731011452104
91462661813365305
10313424301413444
1190959555214181
122b19b890476858
13105b6a2829bb40
145757b622ba804
152637d430bd0ce
hex11d0ec8265444

313424301413444 has 48 divisors (see below), whose sum is σ = 597478675494960. Its totient is φ = 142994288701440.

The previous prime is 313424301413423. The next prime is 313424301413453. The reversal of 313424301413444 is 444314103424313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21258370062400 + 292165931351044 = 4610680^2 + 17092862^2 .

It is a super-2 number, since 2×3134243014134442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8626574 + ... + 26481434.

It is an arithmetic number, because the mean of its divisors is an integer number (12447472406145).

Almost surely, 2313424301413444 is an apocalyptic number.

It is an amenable number.

313424301413444 is a deficient number, since it is larger than the sum of its proper divisors (284054374081516).

313424301413444 is a wasteful number, since it uses less digits than its factorization.

313424301413444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17858760 (or 17858758 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 41.

Adding to 313424301413444 its reverse (444314103424313), we get a palindrome (757738404837757).

The spelling of 313424301413444 in words is "three hundred thirteen trillion, four hundred twenty-four billion, three hundred one million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 89 178 356 1157 2314 3793 4628 7586 15172 49309 98618 197236 337577 675154 1350308 4388501 8777002 17554004 17854861 35709722 71419444 232113193 464226386 928452772 1589082629 3178165258 6356330516 20658074177 41316148354 67723487773 82632296708 135446975546 270893951092 880405341049 1760810682098 3521621364196 6027390411797 12054780823594 24109561647188 78356075353361 156712150706722 313424301413444