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412301240026340 = 225719129437523793
BaseRepresentation
bin101110110111111000101110…
…0111100111100010011100100
32000001211121120022121010000212
41131233301130330330103210
5413020120414421320330
64020520324100154552
7152562532040633450
oct13557613474742344
92001747508533025
10412301240026340
1110a40aa79361955
123a2aa8ab098a58
1314909abc936222
1473b56b4d17660
15329ed7c503295
hex176fc5cf3c4e4

412301240026340 has 96 divisors (see below), whose sum is σ = 994739414667264. Its totient is φ = 140615272765440.

The previous prime is 412301240026303. The next prime is 412301240026397. The reversal of 412301240026340 is 43620042103214.

It is a junction number, because it is equal to n+sod(n) for n = 412301240026297 and 412301240026306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786883484 + ... + 787407276.

It is an arithmetic number, because the mean of its divisors is an integer number (10361868902784).

Almost surely, 2412301240026340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412301240026340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497369707333632).

412301240026340 is an abundant number, since it is smaller than the sum of its proper divisors (582438174640924).

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

412301240026340 is a wasteful number, since it uses less digits than its factorization.

412301240026340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553437 (or 553435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 412301240026340 its reverse (43620042103214), we get a palindrome (455921282129554).

The spelling of 412301240026340 in words is "four hundred twelve trillion, three hundred one billion, two hundred forty million, twenty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 955 1337 1910 2674 3820 5348 6685 13370 26740 29437 58874 117748 147185 206059 294370 412118 523793 588740 824236 1030295 1047586 2060590 2095172 2618965 3666551 4121180 5237930 5622467 7333102 10475860 11244934 14666204 18332755 22489868 28112335 36665510 39357269 56224670 73331020 78714538 100044463 112449340 157429076 196786345 200088926 393572690 400177852 500222315 700311241 787145380 1000444630 1400622482 2000889260 2801244964 3501556205 7003112410 14006224820 15418894541 30837789082 61675578164 77094472705 107932261787 154188945410 215864523574 308377890820 431729047148 539661308935 1079322617870 2158645235740 2945008857331 5890017714662 11780035429324 14725044286655 20615062001317 29450088573310 41230124002634 58900177146620 82460248005268 103075310006585 206150620013170 412301240026340