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314124143301 = 32206811687669
BaseRepresentation
bin1001001001000110100…
…00100000101011000101
31010000210211222211220200
410210203100200223011
520121311240041201
6400150122321113
731460201106603
oct4444320405305
91100724884820
10314124143301
11111245987201
1250a67659199
1323811085557
14112bccd2873
158287665386
hex4923420ac5

314124143301 has 12 divisors (see below), whose sum is σ = 453757082220. Its totient is φ = 209405845440.

The previous prime is 314124143287. The next prime is 314124143309. The reversal of 314124143301 is 103341421413.

314124143301 is a `hidden beast` number, since 314 + 1 + 2 + 4 + 1 + 43 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46860992676 + 267263150625 = 216474^2 + 516975^2 .

It is not a de Polignac number, because 314124143301 - 25 = 314124143269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314124143309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657706 + ... + 1029963.

It is an arithmetic number, because the mean of its divisors is an integer number (37813090185).

Almost surely, 2314124143301 is an apocalyptic number.

It is an amenable number.

314124143301 is a deficient number, since it is larger than the sum of its proper divisors (139632938919).

314124143301 is a wasteful number, since it uses less digits than its factorization.

314124143301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708356 (or 1708353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 314124143301 its reverse (103341421413), we get a palindrome (417465564714).

The spelling of 314124143301 in words is "three hundred fourteen billion, one hundred twenty-four million, one hundred forty-three thousand, three hundred one".

Divisors: 1 3 9 20681 62043 186129 1687669 5063007 15189021 34902682589 104708047767 314124143301