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314343105040 = 24522211769153
BaseRepresentation
bin1001001001100000100…
…11110010001000010000
31010001101010000020221201
410210300103302020100
520122233313330130
6400223543400544
731465500210166
oct4446023621020
91101333006851
10314343105040
11111348540418
1250b08a53154
132384754b503
141130000d236
15829b9b7bca
hex49304f2210

314343105040 has 40 divisors (see below), whose sum is σ = 731177194968. Its totient is φ = 125680558080.

The previous prime is 314343105019. The next prime is 314343105061. The reversal of 314343105040 is 40501343413.

It is an interprime number because it is at equal distance from previous prime (314343105019) and next prime (314343105061).

It can be written as a sum of positive squares in 4 ways, for example, as 33158953216 + 281184151824 = 182096^2 + 530268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706897 + ... + 1062256.

Almost surely, 2314343105040 is an apocalyptic number.

It is an amenable number.

314343105040 is an abundant number, since it is smaller than the sum of its proper divisors (416834089928).

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

314343105040 is a wasteful number, since it uses less digits than its factorization.

314343105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771387 (or 1771381 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 314343105040 its reverse (40501343413), we get a palindrome (354844448453).

The spelling of 314343105040 in words is "three hundred fourteen billion, three hundred forty-three million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2221 4442 8884 11105 17768 22210 35536 44420 88840 177680 1769153 3538306 7076612 8845765 14153224 17691530 28306448 35383060 70766120 141532240 3929288813 7858577626 15717155252 19646444065 31434310504 39292888130 62868621008 78585776260 157171552520 314343105040