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123341051440341 = 3372591580140813
BaseRepresentation
bin11100000010110110010011…
…100011101010110011010101
3121011201021210221111120122000
4130002312103203222303111
5112131304433132042331
61114154032524225513
734660045143642300
oct3402662343526325
9534637727446560
10123341051440341
1136333712052989
1211a003a469b299
1353a901b918a77
142265a4b173b37
15e3d5b54d30e6
hex702d938eacd5

123341051440341 has 48 divisors (see below), whose sum is σ = 216163263355200. Its totient is φ = 69286014324576.

The previous prime is 123341051440307. The next prime is 123341051440349. The reversal of 123341051440341 is 143044150143321.

123341051440341 is a `hidden beast` number, since 1 + 2 + 33 + 41 + 0 + 514 + 40 + 34 + 1 = 666.

123341051440341 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 123341051440341 - 217 = 123341051309269 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123341051440296 and 123341051440305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123341051440349) 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, 789992350 + ... + 790148463.

It is an arithmetic number, because the mean of its divisors is an integer number (4503401319900).

Almost surely, 2123341051440341 is an apocalyptic number.

It is an amenable number.

123341051440341 is a deficient number, since it is larger than the sum of its proper divisors (92822211914859).

123341051440341 is a wasteful number, since it uses less digits than its factorization.

123341051440341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580140895 (or 1580140882 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 123341051440341 in words is "one hundred twenty-three trillion, three hundred forty-one billion, fifty-one million, four hundred forty thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 49 59 63 147 177 189 413 441 531 1239 1323 1593 2891 3717 8673 11151 26019 78057 1580140813 4740422439 11060985691 14221267317 33182957073 42663801951 77426899837 93228307967 99548871219 232280699511 279684923901 298646613657 652598155769 696842098533 839054771703 1957794467307 2090526295599 2517164315109 4568187090383 5873383401921 13704561271149 17620150205763 41113683813447 123341051440341