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314304143013 = 327293134915901
BaseRepresentation
bin1001001001011011111…
…11001001111010100101
31010001021101200210002200
410210231333021322211
520122143330034023
6400220032325113
731464515064240
oct4445577117245
91101241623080
10314304143013
111113285496a3
1250ab79a3799
132383c459263
14112d8b8a257
15829836d743
hex492dfc9ea5

314304143013 has 96 divisors (see below), whose sum is σ = 555679488000. Its totient is φ = 167323968000.

The previous prime is 314304143011. The next prime is 314304143033. The reversal of 314304143013 is 310341403413.

314304143013 is a `hidden beast` number, since 314 + 3 + 0 + 41 + 4 + 301 + 3 = 666.

It is not a de Polignac number, because 314304143013 - 21 = 314304143011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314304143011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19758363 + ... + 19774263.

It is an arithmetic number, because the mean of its divisors is an integer number (5788328000).

Almost surely, 2314304143013 is an apocalyptic number.

It is an amenable number.

314304143013 is a deficient number, since it is larger than the sum of its proper divisors (241375344987).

314304143013 is a wasteful number, since it uses less digits than its factorization.

314304143013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16323 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 314304143013 its reverse (310341403413), we get a palindrome (624645546426).

The spelling of 314304143013 in words is "three hundred fourteen billion, three hundred four million, one hundred forty-three thousand, thirteen".

Divisors: 1 3 7 9 21 29 31 63 87 93 203 217 261 279 349 609 651 899 1047 1827 1953 2443 2697 3141 6293 7329 8091 10121 10819 15901 18879 21987 30363 32457 47703 56637 70847 75733 91089 97371 111307 143109 212541 227199 313751 333921 461129 492931 637623 681597 941253 1001763 1383387 1478793 2196257 2823759 3227903 3450517 4150161 4436379 5549449 6588771 9683709 10351551 14294999 16648347 19766313 29051127 31054653 38846143 42884997 49945041 100064993 116538429 128654991 160934021 172032919 300194979 349615287 482802063 516098757 900584937 1126538147 1204230433 1448406189 1548296271 3379614441 3612691299 4988954651 10138843323 10838073897 14966863953 34922682557 44900591859 104768047671 314304143013