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314132066205660 = 223451311480218953
BaseRepresentation
bin100011101101100111001001…
…0001101111111111111011100
31112012020201202210201220120000
41013123032102031333333130
5312133214432422040120
63032034140132254300
7123111202304311203
oct10733162215777734
91465221683656500
10314132066205660
119110172aa7011a
122b294a95471390
13106386b0318391
14578010494023a
15264b468bae990
hex11db39237ffdc

314132066205660 has 120 divisors (see below), whose sum is σ = 992966399598096. Its totient is φ = 83129096344320.

The previous prime is 314132066205539. The next prime is 314132066205767. The reversal of 314132066205660 is 66502660231413.

314132066205660 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 2 + 0 + 66 + 20 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 739897257 + ... + 740321696.

Almost surely, 2314132066205660 is an apocalyptic number.

314132066205660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314132066205660 is an abundant number, since it is smaller than the sum of its proper divisors (678834333392436).

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

314132066205660 is a wasteful number, since it uses less digits than its factorization.

314132066205660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480219105 (or 1480219094 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 314132066205660 in words is "three hundred fourteen trillion, one hundred thirty-two billion, sixty-six million, two hundred five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 131 135 162 180 262 270 324 393 405 524 540 655 786 810 1179 1310 1572 1620 1965 2358 2620 3537 3930 4716 5895 7074 7860 10611 11790 14148 17685 21222 23580 35370 42444 53055 70740 106110 212220 1480218953 2960437906 4440656859 5920875812 7401094765 8881313718 13321970577 14802189530 17762627436 22203284295 26643941154 29604379060 39965911731 44406568590 53287882308 66609852885 79931823462 88813137180 119897735193 133219705770 159863646924 193908682843 199829558655 239795470386 266439411540 387817365686 399659117310 479590940772 581726048529 599488675965 775634731372 799318234620 969543414215 1163452097058 1198977351930 1745178145587 1939086828430 2326904194116 2397954703860 2908630242645 3490356291174 3878173656860 5235534436761 5817260485290 6980712582348 8725890727935 10471068873522 11634520970580 15706603310283 17451781455870 20942137747044 26177672183805 31413206620566 34903562911740 52355344367610 62826413241132 78533016551415 104710688735220 157066033102830 314132066205660