Search a number
-
+
441134212310132 = 221131856213777253
BaseRepresentation
bin110010001001101011001000…
…0000001011110010001110100
32010211221000111201202022202112
41210103112100001132101310
5430310020331322411012
64202114132013230152
7161626616005404125
oct14423262001362164
92124830451668675
10441134212310132
11118616a7255a730
1241586923192358
1315c1ba15881773
147ad101cc5404c
1535eeda7137122
hex191359005e474

441134212310132 has 48 divisors (see below), whose sum is σ = 869342320863744. Its totient is φ = 194044989744000.

The previous prime is 441134212310081. The next prime is 441134212310227. The reversal of 441134212310132 is 231013212431144.

It is a super-3 number, since 3×4411342123101323 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114898418 + ... + 118675670.

It is an arithmetic number, because the mean of its divisors is an integer number (18111298351328).

Almost surely, 2441134212310132 is an apocalyptic number.

It is an amenable number.

441134212310132 is a deficient number, since it is larger than the sum of its proper divisors (428208108553612).

441134212310132 is a wasteful number, since it uses less digits than its factorization.

441134212310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862920 (or 3862918 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 441134212310132 its reverse (231013212431144), we get a palindrome (672147424741276).

The spelling of 441134212310132 in words is "four hundred forty-one trillion, one hundred thirty-four billion, two hundred twelve million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1364 85621 171242 342484 941831 1883662 2654251 3767324 3777253 5308502 7554506 10617004 15109012 29196761 41549783 58393522 83099566 116787044 117094843 166199132 234189686 468379372 1288043273 2576086546 5152173092 323412179113 646824358226 1293648716452 3557533970243 7115067940486 10025777552503 14230135880972 20051555105006 40103110210012 110283553077533 220567106155066 441134212310132