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314025245325 = 325211413094607
BaseRepresentation
bin1001001000111010101…
…11001111101010001101
31010000112221220022101200
410210131113033222031
520121110430322300
6400132230500113
731454560354401
oct4443527175215
91100487808350
10314025245325
111111a5078740
1250a3a504639
13237c673953c
14112adb0b101
15827db2c200
hex491d5cfa8d

314025245325 has 72 divisors (see below), whose sum is σ = 628552020096. Its totient is φ = 148541088000.

The previous prime is 314025245323. The next prime is 314025245363. The reversal of 314025245325 is 523542520413.

314025245325 is a `hidden beast` number, since 3 + 1 + 40 + 252 + 45 + 325 = 666.

It is not a de Polignac number, because 314025245325 - 21 = 314025245323 is a prime.

It is a super-2 number, since 2×3140252453252 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314025245325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314025245323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1445829 + ... + 1648778.

It is an arithmetic number, because the mean of its divisors is an integer number (8729889168).

Almost surely, 2314025245325 is an apocalyptic number.

It is an amenable number.

314025245325 is an abundant number, since it is smaller than the sum of its proper divisors (314526774771).

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

314025245325 is a wasteful number, since it uses less digits than its factorization.

314025245325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094675 (or 3094667 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 314025245325 its reverse (523542520413), we get a palindrome (837567765738).

The spelling of 314025245325 in words is "three hundred fourteen billion, twenty-five million, two hundred forty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 55 75 99 123 165 205 225 275 369 451 495 615 825 1025 1353 1845 2255 2475 3075 4059 6765 9225 11275 20295 33825 101475 3094607 9283821 15473035 27851463 34040677 46419105 77365175 102122031 126878887 139257315 170203385 232095525 306366093 380636661 510610155 634394435 696286575 851016925 1141909983 1395667757 1531830465 1903183305 2553050775 3171972175 4187003271 5709549915 6978338785 7659152325 9515916525 12561009813 20935016355 28547749575 34891693925 62805049065 104675081775 314025245325