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123420346114340 = 2251136711719130439
BaseRepresentation
bin11100000100000000001001…
…111000110110000100100100
3121011222212111010102101020202
4130010000021320312010210
5112134104332101124330
61114254305124250032
734665553142361002
oct3404001170660444
9534885433371222
10123420346114340
1136364302902110
1211a13834240918
1353b3647898202
142269810389a72
15e406a6acb445
hex704009e36124

123420346114340 has 96 divisors (see below), whose sum is σ = 283541581209600. Its totient is φ = 44753674331520.

The previous prime is 123420346114309. The next prime is 123420346114363. The reversal of 123420346114340 is 43411643024321.

It is a junction number, because it is equal to n+sod(n) for n = 123420346114294 and 123420346114303.

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, 946126841 + ... + 946257279.

It is an arithmetic number, because the mean of its divisors is an integer number (2953558137600).

Almost surely, 2123420346114340 is an apocalyptic number.

123420346114340 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 123420346114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141770790604800).

123420346114340 is an abundant number, since it is smaller than the sum of its proper divisors (160121235095260).

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

123420346114340 is a wasteful number, since it uses less digits than its factorization.

123420346114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142545 (or 142543 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 123420346114340 its reverse (43411643024321), we get a palindrome (166831989138661).

The spelling of 123420346114340 in words is "one hundred twenty-three trillion, four hundred twenty billion, three hundred forty-six million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 367 734 1468 1835 3670 4037 7340 8074 11719 16148 20185 23438 40370 46876 58595 80740 117190 128909 130439 234380 257818 260878 515636 521756 644545 652195 1289090 1304390 1434829 2578180 2608780 2869658 4300873 5739316 7174145 8601746 14348290 17203492 21504365 28696580 43008730 47309603 47871113 86017460 94619206 95742226 189238412 191484452 236548015 239355565 473096030 478711130 526582243 946192060 957422260 1053164486 1528614641 2106328972 2632911215 3057229282 5265822430 6114458564 7643073205 10531644860 15286146410 16814761051 30572292820 33629522102 67259044204 84073805255 168147610510 336295221020 561001573247 1122003146494 2244006292988 2805007866235 5610015732470 6171017305717 11220031464940 12342034611434 24684069222868 30855086528585 61710173057170 123420346114340