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314143140012 = 2231321747193871
BaseRepresentation
bin1001001001001000110…
…00111110100010101100
31010000212011201222111120
410210210120332202230
520121331120440022
6400152041420540
731460521426602
oct4444430764254
91100764658446
10314143140012
11111255681769
1250a71a9a750
1323814ca7100
14112c1639872
158289168d5c
hex492463e8ac

314143140012 has 144 divisors (see below), whose sum is σ = 858297710592. Its totient is φ = 89037511680.

The previous prime is 314143140007. The next prime is 314143140013. The reversal of 314143140012 is 210041341413.

It is not an unprimeable number, because it can be changed into a prime (314143140013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523437 + ... + 1717307.

It is an arithmetic number, because the mean of its divisors is an integer number (5960400768).

Almost surely, 2314143140012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314143140012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429148855296).

314143140012 is an abundant number, since it is smaller than the sum of its proper divisors (544154570580).

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

314143140012 is a wasteful number, since it uses less digits than its factorization.

314143140012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193968 (or 193953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 314143140012 its reverse (210041341413), we get a palindrome (524184481425).

The spelling of 314143140012 in words is "three hundred fourteen billion, one hundred forty-three million, one hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 47 51 52 68 78 94 102 141 156 169 188 204 221 282 338 442 507 564 611 663 676 799 884 1014 1222 1326 1598 1833 2028 2397 2444 2652 2873 3196 3666 4794 5746 7332 7943 8619 9588 10387 11492 15886 17238 20774 23829 31161 31772 34476 41548 47658 62322 95316 124644 135031 193871 270062 387742 405093 540124 581613 775484 810186 1163226 1620372 2326452 2520323 3295807 5040646 6591614 7560969 9111937 9887421 10081292 13183228 15121938 18223874 19774842 27335811 30243876 32764199 36447748 39549684 42845491 54671622 65528398 85690982 98292597 109343244 118455181 128536473 131056796 154902929 171381964 196585194 236910362 257072946 309805858 355365543 393170388 464708787 473820724 514145892 556991383 619611716 710731086 929417574 1113982766 1421462172 1539917353 1670974149 1858835148 2013738077 2227965532 3079834706 3341948298 4027476154 4619752059 6041214231 6159669412 6683896596 8054952308 9239504118 12082428462 18479008236 24164856924 26178595001 52357190002 78535785003 104714380004 157071570006 314143140012