Search a number
-
+
242314300123132 = 22414733312175411
BaseRepresentation
bin110111000110001000110001…
…110010000110011111111100
31011202222000120012112110201011
4313012020301302012133330
5223230034141312420012
62215205352553125004
7102016426151012116
oct6706106162063774
91152860505473634
10242314300123132
1170232a10331686
12232161749b9764
13a5291a976a313
1443ba108db03b6
151d0323eab11a7
hexdc6231c867fc

242314300123132 has 24 divisors (see below), whose sum is σ = 434484489719952. Its totient is φ = 118177123209600.

The previous prime is 242314300123087. The next prime is 242314300123169. The reversal of 242314300123132 is 231321003413242.

It is a super-3 number, since 3×2423143001231323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 242314300123094 and 242314300123103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155311494 + ... + 156863917.

It is an arithmetic number, because the mean of its divisors is an integer number (18103520404998).

Almost surely, 2242314300123132 is an apocalyptic number.

It is an amenable number.

242314300123132 is a deficient number, since it is larger than the sum of its proper divisors (192170189596820).

242314300123132 is a wasteful number, since it uses less digits than its factorization.

242314300123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312180189 (or 312180187 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 242314300123132 its reverse (231321003413242), we get a palindrome (473635303536374).

The spelling of 242314300123132 in words is "two hundred forty-two trillion, three hundred fourteen billion, three hundred million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 41 82 164 4733 9466 18932 194053 388106 776212 312175411 624350822 1248701644 12799191851 25598383702 51196767404 1477526220263 2955052440526 5910104881052 60578575030783 121157150061566 242314300123132