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123423417340 = 225173975691607
BaseRepresentation
bin111001011110010011…
…0111110001111111100
3102210120120221020020021
41302330212332033330
54010232343323330
6132411104101524
711626355510656
oct1627446761774
9383516836207
10123423417340
1148386335253
121bb063048a4
13b83c51bbc2
145d8bc8b6d6
1533257d667a
hex1cbc9be3fc

123423417340 has 96 divisors (see below), whose sum is σ = 275781905280. Its totient is φ = 46237999104.

The previous prime is 123423417331. The next prime is 123423417389. The reversal of 123423417340 is 43714324321.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 123423417296 and 123423417305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76802817 + ... + 76804423.

It is an arithmetic number, because the mean of its divisors is an integer number (2872728180).

Almost surely, 2123423417340 is an apocalyptic number.

123423417340 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 123423417340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137890952640).

123423417340 is an abundant number, since it is smaller than the sum of its proper divisors (152358487940).

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

123423417340 is a wasteful number, since it uses less digits than its factorization.

123423417340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 123423417340 in words is "one hundred twenty-three billion, four hundred twenty-three million, four hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 569 794 1138 1588 1607 1985 2276 2845 3214 3970 5690 6428 6749 7940 8035 9673 11380 13498 16070 19346 26996 27319 32140 33745 38692 48365 54638 67490 96730 109276 134980 136595 193460 225893 273190 451786 546380 637979 903572 914383 1129465 1275958 1828766 2258930 2551916 3189895 3657532 3840181 4517860 4571915 6379790 7680362 9143830 10845643 12759580 15360724 15544511 18287660 19200905 21691286 31089022 38401810 43382572 54228215 62178044 76803620 77722555 108456430 155445110 216912860 310890220 363010051 726020102 1452040204 1815050255 3630100510 6171170867 7260201020 12342341734 24684683468 30855854335 61711708670 123423417340