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123014144232 = 2333781358561
BaseRepresentation
bin111001010010000110…
…1101110000011101000
3102202112001211000002000
41302210031232003220
54003413110103412
6132302324011000
711613255654630
oct1624415560350
9382461730060
10123014144232
1148196306311
121ba11230a60
13b7a57b1875
145d4d7916c0
1532ee8e04dc
hex1ca436e0e8

123014144232 has 64 divisors (see below), whose sum is σ = 390521097600. Its totient is φ = 35146897920.

The previous prime is 123014144213. The next prime is 123014144263. The reversal of 123014144232 is 232441410321.

123014144232 is a `hidden beast` number, since 1 + 230 + 1 + 4 + 1 + 4 + 423 + 2 = 666.

It is a super-2 number, since 2×1230141442322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123014144196 and 123014144205.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40677769 + ... + 40680792.

It is an arithmetic number, because the mean of its divisors is an integer number (6101892150).

Almost surely, 2123014144232 is an apocalyptic number.

123014144232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123014144232 is an abundant number, since it is smaller than the sum of its proper divisors (267506953368).

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

123014144232 is a wasteful number, since it uses less digits than its factorization.

123014144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81358583 (or 81358573 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 123014144232 its reverse (232441410321), we get a palindrome (355455554553).

The spelling of 123014144232 in words is "one hundred twenty-three billion, fourteen million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 81358561 162717122 244075683 325434244 488151366 569509927 650868488 732227049 976302732 1139019854 1464454098 1708529781 1952605464 2196681147 2278039708 2928908196 3417059562 4393362294 4556079416 5125589343 5857816392 6834119124 8786724588 10251178686 13668238248 15376768029 17573449176 20502357372 30753536058 41004714744 61507072116 123014144232