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412123112142 = 23722967721451
BaseRepresentation
bin1011111111101000111…
…00111010001011001110
31110101202120100021110020
411333310130322023032
523223012004042032
6513154324323010
741526536440200
oct5776434721316
91411676307406
10412123112142
11149864830a45
1267a57243466
132cb2b149491
1415d382aa770
15aac0d86b2c
hex5ff473a2ce

412123112142 has 96 divisors (see below), whose sum is σ = 1006685262720. Its totient is φ = 111992126400.

The previous prime is 412123112111. The next prime is 412123112179. The reversal of 412123112142 is 241211321214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210517 + ... + 931967.

It is an arithmetic number, because the mean of its divisors is an integer number (10486304820).

Almost surely, 2412123112142 is an apocalyptic number.

412123112142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 412123112142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503342631360).

412123112142 is an abundant number, since it is smaller than the sum of its proper divisors (594562150578).

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

412123112142 is a wasteful number, since it uses less digits than its factorization.

412123112142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721566 (or 721559 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 412123112142 its reverse (241211321214), we get a palindrome (653334433356).

The spelling of 412123112142 in words is "four hundred twelve billion, one hundred twenty-three million, one hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 67 87 98 134 147 174 201 203 294 402 406 469 609 938 1218 1407 1421 1943 2814 2842 3283 3886 4263 5829 6566 8526 9849 11658 13601 19698 27202 40803 81606 95207 190414 285621 571242 721451 1442902 2164353 4328706 5050157 10100314 15150471 20922079 30300942 35351099 41844158 48337217 62766237 70702198 96674434 106053297 125532474 145011651 146454553 212106594 290023302 292909106 338360519 439363659 676721038 878727318 1015081557 1025181871 1401779293 2030163114 2050363742 2368523633 2803558586 3075545613 4205337879 4737047266 6151091226 7105570899 8410675758 9812455051 14211141798 19624910102 29437365153 58874730306 68687185357 137374370714 206061556071 412123112142