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123412240343430 = 232543148921416701
BaseRepresentation
bin11100000011111000100110…
…101111110010000110000110
3121011222002120012222112221100
4130003320212233302012012
5112133441232011442210
61114250444525400530
734665145235431563
oct3403704657620606
9534862505875840
10123412240343430
1136360923361495
1211a12151709146
1353b295547096c
142269281a2b86a
15e4038018b5c0
hex703e26bf2186

123412240343430 has 96 divisors (see below), whose sum is σ = 328554482050080. Its totient is φ = 32122993996800.

The previous prime is 123412240343363. The next prime is 123412240343477. The reversal of 123412240343430 is 34343042214321.

123412240343430 is a `hidden beast` number, since 1 + 2 + 3 + 41 + 2 + 240 + 34 + 343 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4945921 + ... + 16470780.

It is an arithmetic number, because the mean of its divisors is an integer number (3422442521355).

Almost surely, 2123412240343430 is an apocalyptic number.

123412240343430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123412240343430 is an abundant number, since it is smaller than the sum of its proper divisors (205142241706650).

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

123412240343430 is a wasteful number, since it uses less digits than its factorization.

123412240343430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21418246 (or 21418243 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 123412240343430 its reverse (34343042214321), we get a palindrome (157755282557751).

The spelling of 123412240343430 in words is "one hundred twenty-three trillion, four hundred twelve billion, two hundred forty million, three hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1489 1935 2978 3870 4467 7445 8934 13401 14890 22335 26802 44670 64027 67005 128054 134010 192081 320135 384162 576243 640270 960405 1152486 1920810 2881215 5762430 21416701 42833402 64250103 107083505 128500206 192750309 214167010 321250515 385500618 642501030 920918143 963751545 1841836286 1927503090 2762754429 4604590715 5525508858 8288263287 9209181430 13813772145 16576526574 27627544290 31889467789 41441316435 63778935578 82882632870 95668403367 159447338945 191336806734 287005210101 318894677890 478342016835 574010420202 956684033670 1371247114927 1435026050505 2742494229854 2870052101010 4113741344781 6856235574635 8227482689562 12341224034343 13712471149270 20568706723905 24682448068686 41137413447810 61706120171715 123412240343430