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412113311214 = 231127110179159
BaseRepresentation
bin1011111111100111101…
…11100001010111101110
31110101201212220100002220
411333303313201113232
523223002001424324
6513153334300210
741526360230103
oct5776367412756
91411655810086
10412113311214
1114985a247400
1267a53ab7666
132cb290c7407
1415d36c78aaa
15aac009cb79
hex5ff3de15ee

412113311214 has 96 divisors (see below), whose sum is σ = 927836259840. Its totient is φ = 121903320000.

The previous prime is 412113311191. The next prime is 412113311261.

412113311214 is nontrivially palindromic in base 10.

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, 5166567 + ... + 5245725.

It is an arithmetic number, because the mean of its divisors is an integer number (9664961040).

Almost surely, 2412113311214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412113311214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463918129920).

412113311214 is an abundant number, since it is smaller than the sum of its proper divisors (515722948626).

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

412113311214 is a wasteful number, since it uses less digits than its factorization.

412113311214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79358 (or 79347 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 412113 and 311214, that added together give a palindrome (723327).

The spelling of 412113311214 in words is "four hundred twelve billion, one hundred thirteen million, three hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 71 101 121 142 202 213 242 303 363 426 606 726 781 1111 1562 2222 2343 3333 4686 6666 7171 8591 12221 14342 17182 21513 24442 25773 36663 43026 51546 73326 78881 79159 157762 158318 236643 237477 473286 474954 867691 870749 1735382 1741498 2603073 2612247 5206146 5224494 5620289 7995059 9578239 11240578 15990118 16860867 19156478 23985177 28734717 33721734 47970354 57469434 61823179 87945649 123646358 175891298 185469537 263836947 370939074 527673894 567649189 680054969 967402139 1135298378 1360109938 1702947567 1934804278 2040164907 2902206417 3405895134 4080329814 5804412834 6244141079 12488282158 18732423237 37464846474 68685551869 137371103738 206056655607 412113311214