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12342342423240 = 2332573469647733
BaseRepresentation
bin1011001110011010110011…
…1011111001001011001000
31121200220202001202002122100
42303212230323321023020
53104204104130020430
642125554400153400
72412463515420054
oct263465473711310
947626661662570
1012342342423240
113a293a3596415
121474041608860
136b6b5497a6ab
14309530440c64
151660bca67960
hexb39acef92c8

12342342423240 has 96 divisors (see below), whose sum is σ = 40662100809720. Its totient is φ = 3246205123584.

The previous prime is 12342342423233. The next prime is 12342342423247. The reversal of 12342342423240 is 4232424324321.

12342342423240 is a `hidden beast` number, since 1 + 2 + 3 + 42 + 342 + 4 + 232 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12342342423233) and next prime (12342342423247).

It can be written as a sum of positive squares in 4 ways, for example, as 7131431384676 + 5210911038564 = 2670474^2 + 2282742^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12342342423195 and 12342342423204.

It is not an unprimeable number, because it can be changed into a prime (12342342423247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234797587 + ... + 234850146.

Almost surely, 212342342423240 is an apocalyptic number.

12342342423240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342342423240 is an abundant number, since it is smaller than the sum of its proper divisors (28319758386480).

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

12342342423240 is a wasteful number, since it uses less digits than its factorization.

12342342423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469647823 (or 469647816 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 12342342423240 its reverse (4232424324321), we get a palindrome (16574766747561).

The spelling of 12342342423240 in words is "twelve trillion, three hundred forty-two billion, three hundred forty-two million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 469647733 939295466 1408943199 1878590932 2348238665 2817886398 3757181864 4226829597 4696477330 5635772796 7044715995 8453659194 9392954660 11271545592 14089431990 16907318388 18785909320 21134147985 28178863980 33814636776 34284284509 42268295970 56357727960 68568569018 84536591940 102852853527 137137138036 169073183880 171421422545 205705707054 274274276072 308558560581 342842845090 411411414108 514264267635 617117121162 685685690180 822822828216 1028528535270 1234234242324 1371371380360 1542792802905 2057057070540 2468468484648 3085585605810 4114114141080 6171171211620 12342342423240