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314323014444426 = 232132243763736653
BaseRepresentation
bin100011101111000000000011…
…1100111101110010110001010
31112012220222122022112110222100
41013132000013213232112022
5312144332013144210201
63032301555511534230
7123131042213462601
oct10736000747562612
91465828568473870
10314323014444426
11911757072a7109
122b305aa568a376
13106506c1233300
14578945a7b4a38
1526513e2630886
hex11de0079ee58a

314323014444426 has 144 divisors (see below), whose sum is σ = 737979424875576. Its totient is φ = 96645389428224.

The previous prime is 314323014444391. The next prime is 314323014444463. The reversal of 314323014444426 is 624444410323413.

314323014444426 is a `hidden beast` number, since 3 + 1 + 4 + 32 + 30 + 144 + 4 + 442 + 6 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5816658650625 + 308506355793801 = 2411775^2 + 17564349^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47245301716 + ... + 47245308368.

Almost surely, 2314323014444426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314323014444426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368989712437788).

314323014444426 is an abundant number, since it is smaller than the sum of its proper divisors (423656410431150).

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

314323014444426 is a wasteful number, since it uses less digits than its factorization.

314323014444426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15497 (or 15481 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

Adding to 314323014444426 its reverse (624444410323413), we get a palindrome (938767424767839).

The spelling of 314323014444426 in words is "three hundred fourteen trillion, three hundred twenty-three billion, fourteen million, four hundred forty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 2437 3042 4874 6373 6653 7311 12746 13306 14622 19119 19959 21933 31681 38238 39918 43866 57357 59877 63362 82849 86489 95043 114714 119754 165698 172978 190086 248547 259467 285129 411853 497094 518934 570258 745641 778401 823706 1077037 1124357 1235559 1491282 1556802 2154074 2248714 2471118 3231111 3373071 3706677 6462222 6746142 7413354 9693333 10119213 15531001 16213361 19386666 20238426 31062002 32426722 42399569 46593003 48640083 84799138 93186006 97280166 127198707 139779009 145920249 201903013 210773693 254397414 279558018 291840498 381596121 403806026 421547386 551194397 605709039 632321079 763192242 1102388794 1211418078 1264642158 1653583191 1817127117 1896963237 2624739169 2740058009 3307166382 3634254234 3793926474 4960749573 5249478338 5480116018 7165527161 7874217507 8220174027 9921499146 14331054322 15748435014 16440348054 21496581483 23622652521 24660522081 42993162966 47245305042 49321044162 64489744449 103327749653 128979488898 206655499306 309983248959 619966497918 929949746877 1343260745489 1859899493754 2686521490978 4029782236467 8059564472934 12089346709401 17462389691357 24178693418802 34924779382714 52387169074071 104774338148142 157161507222213 314323014444426