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314021214441 = 321119421396541
BaseRepresentation
bin1001001000111010001…
…11110111100011101001
31010000112200022112001200
410210131013313203221
520121103412330231
6400132004234413
731454511165504
oct4443507674351
91100480275050
10314021214441
111111a2875230
1250a3909ba09
13237c59578bc
14112ad37c13b
15827d5d2be6
hex491d1f78e9

314021214441 has 48 divisors (see below), whose sum is σ = 522103058880. Its totient is φ = 179870544000.

The previous prime is 314021214439. The next prime is 314021214467. The reversal of 314021214441 is 144412120413.

314021214441 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 2 + 1 + 214 + 441 = 666.

It is not a de Polignac number, because 314021214441 - 21 = 314021214439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314021215441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593631 + ... + 990171.

It is an arithmetic number, because the mean of its divisors is an integer number (10877147060).

Almost surely, 2314021214441 is an apocalyptic number.

It is an amenable number.

314021214441 is a deficient number, since it is larger than the sum of its proper divisors (208081844439).

314021214441 is a wasteful number, since it uses less digits than its factorization.

314021214441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396998 (or 396995 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 314021214441 its reverse (144412120413), we get a palindrome (458433334854).

The spelling of 314021214441 in words is "three hundred fourteen billion, twenty-one million, two hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 421 627 1263 1881 3789 4631 7999 13893 23997 41679 71991 87989 263967 396541 791901 1189623 3568869 4361951 7534279 13085853 22602837 39257559 67808511 82877069 166943761 248631207 500831283 745893621 1502493849 1836381371 3171931459 5509144113 9515794377 16527432339 28547383131 34891246049 104673738147 314021214441