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123134042340 = 223252943548579
BaseRepresentation
bin111001010101101011…
…1000110000011100100
3102202211102102110100200
41302223113012003210
54004134303323330
6132322245510500
711616243043041
oct1625327060344
9382742373320
10123134042340
1148247a58561
121ba45412430
13b7c45a12aa
145d616821c8
15330a1c5a60
hex1cab5c60e4

123134042340 has 144 divisors (see below), whose sum is σ = 395372577600. Its totient is φ = 30966130944.

The previous prime is 123134042329. The next prime is 123134042341. The reversal of 123134042340 is 43240431321.

123134042340 is a `hidden beast` number, since 1 + 2 + 313 + 4 + 0 + 4 + 2 + 340 = 666.

It is not an unprimeable number, because it can be changed into a prime (123134042341) 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, 49830 + ... + 498749.

It is an arithmetic number, because the mean of its divisors is an integer number (2745642900).

Almost surely, 2123134042340 is an apocalyptic number.

123134042340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123134042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197686288800).

123134042340 is an abundant number, since it is smaller than the sum of its proper divisors (272238535260).

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

123134042340 is a wasteful number, since it uses less digits than its factorization.

123134042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548666 (or 548661 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 123134042340 its reverse (43240431321), we get a palindrome (166374473661).

The spelling of 123134042340 in words is "one hundred twenty-three billion, one hundred thirty-four million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 43 45 58 60 86 87 90 116 129 145 172 174 180 215 258 261 290 348 387 430 435 516 522 580 645 774 860 870 1044 1247 1290 1305 1548 1740 1935 2494 2580 2610 3741 3870 4988 5220 6235 7482 7740 11223 12470 14964 18705 22446 24940 37410 44892 56115 74820 112230 224460 548579 1097158 1645737 2194316 2742895 3291474 4937211 5485790 6582948 8228685 9874422 10971580 15908791 16457370 19748844 23588897 24686055 31817582 32914740 47177794 47726373 49372110 63635164 70766691 79543955 94355588 95452746 98744220 117944485 141533382 143179119 159087910 190905492 212300073 235888970 238631865 283066764 286358238 318175820 353833455 424600146 471777940 477263730 572716476 684078013 707666910 715895595 849200292 954527460 1061500365 1368156026 1415333820 1431791190 2052234039 2123000730 2736312052 2863582380 3420390065 4104468078 4246001460 6156702117 6840780130 8208936156 10261170195 12313404234 13681560260 20522340390 24626808468 30783510585 41044680780 61567021170 123134042340