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314232322412240 = 24529172178701317
BaseRepresentation
bin100011101110010101110100…
…1111101000100111011010000
31112012121022112211110220011022
41013130223221331010323100
5312141340244014142430
63032152200330535012
7123121351612101521
oct10734535175047320
91465538484426138
10314232322412240
11911401a7a88aa1
122b2b03b4b97468
1310644c99c3153b
145784cd5a14848
15264dd856574e5
hex11dcae9f44ed0

314232322412240 has 80 divisors (see below), whose sum is σ = 756222076345680. Its totient is φ = 121288172113920.

The previous prime is 314232322412227. The next prime is 314232322412257. The reversal of 314232322412240 is 42214223232413.

It can be written as a sum of positive squares in 8 ways, for example, as 9759859264 + 314222562552976 = 98792^2 + 17726324^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 314232322412240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35357939 + ... + 43343378.

It is an arithmetic number, because the mean of its divisors is an integer number (9452775954321).

Almost surely, 2314232322412240 is an apocalyptic number.

It is an amenable number.

314232322412240 is an abundant number, since it is smaller than the sum of its proper divisors (441989753933440).

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

314232322412240 is a wasteful number, since it uses less digits than its factorization.

314232322412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78703080 (or 78703074 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 314232322412240 its reverse (42214223232413), we get a palindrome (356446545644653).

The spelling of 314232322412240 in words is "three hundred fourteen trillion, two hundred thirty-two billion, three hundred twenty-two million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1721 2320 3442 6884 8605 13768 17210 27536 34420 49909 68840 99818 137680 199636 249545 399272 499090 798544 998180 1996360 3992720 78701317 157402634 314805268 393506585 629610536 787013170 1259221072 1574026340 2282338193 3148052680 4564676386 6296105360 9129352772 11411690965 18258705544 22823381930 36517411088 45646763860 91293527720 135444966557 182587055440 270889933114 541779866228 677224832785 1083559732456 1354449665570 2167119464912 2708899331140 3927904030153 5417798662280 7855808060306 10835597324560 15711616120612 19639520150765 31423232241224 39279040301530 62846464482448 78558080603060 157116161206120 314232322412240