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314236367140660 = 225173358549154849
BaseRepresentation
bin100011101110010111101101…
…1000010011111011100110100
31112012121200222201100101110121
41013130233123002133130310
5312141422034442000120
63032154105535301324
7123121554054525616
oct10734573302373464
91465550881311417
10314236367140660
1191141993142358
122b2b114367a844
1310645492bb3a73
14578519ac8cdb6
15264e0207b55aa
hex11dcbdb09f734

314236367140660 has 48 divisors (see below), whose sum is σ = 660292695090000. Its totient is φ = 125619059994624.

The previous prime is 314236367140651. The next prime is 314236367140669. The reversal of 314236367140660 is 66041763632413.

It is an interprime number because it is at equal distance from previous prime (314236367140651) and next prime (314236367140669).

It can be written as a sum of positive squares in 8 ways, for example, as 10835499559824 + 303400867580836 = 3291732^2 + 17418406^2 .

It is a super-3 number, since 3×3142363671406603 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314236367140598 and 314236367140607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314236367140669) 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, 2029230916 + ... + 2029385764.

It is an arithmetic number, because the mean of its divisors is an integer number (13756097814375).

Almost surely, 2314236367140660 is an apocalyptic number.

It is an amenable number.

314236367140660 is an abundant number, since it is smaller than the sum of its proper divisors (346056327949340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314236367140660 is a wasteful number, since it uses less digits than its factorization.

314236367140660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215140 (or 215138 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 52.

The spelling of 314236367140660 in words is "three hundred fourteen trillion, two hundred thirty-six billion, three hundred sixty-seven million, one hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 1733 3466 6932 8665 17330 34660 58549 117098 154849 234196 292745 309698 585490 619396 774245 1170980 1548490 3096980 101465417 202930834 268353317 405861668 507327085 536706634 1014654170 1073413268 1341766585 2029308340 2683533170 5367066340 9066254101 18132508202 36265016404 45331270505 90662541010 181325082020 15711818357033 31423636714066 62847273428132 78559091785165 157118183570330 314236367140660