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412432212211014 = 235321011311849511
BaseRepresentation
bin101110111000110101101101…
…1100000001011010101000110
32000002022010121222212110022110
41131301223123200023111012
5413024242132311223024
64021100424224441450
7152605146461062452
oct13561533340132506
92002263558773273
10412432212211014
1110a460578786796
123a310161479286
1314919263059458
1473bbb7b56d662
1532a34958a1629
hex1771adb80b546

412432212211014 has 96 divisors (see below), whose sum is σ = 855527256638208. Its totient is φ = 132528488560000.

The previous prime is 412432212210911. The next prime is 412432212211043. The reversal of 412432212211014 is 410112212234214.

It is a happy number.

It is a super-2 number, since 2×4124322122110142 (a number of 30 digits) contains 22 as substring.

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, 222070519 + ... + 223920029.

It is an arithmetic number, because the mean of its divisors is an integer number (8911742256648).

Almost surely, 2412432212211014 is an apocalyptic number.

412432212211014 is an abundant number, since it is smaller than the sum of its proper divisors (443095044427194).

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

412432212211014 is a wasteful number, since it uses less digits than its factorization.

412432212211014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849854 (or 1849801 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 412432212211014 its reverse (410112212234214), we get a palindrome (822544424445228).

The spelling of 412432212211014 in words is "four hundred twelve trillion, four hundred thirty-two billion, two hundred twelve million, two hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 53 101 106 131 159 202 262 303 318 393 606 786 2809 5353 5618 6943 8427 10706 13231 13886 16059 16854 20829 26462 32118 39693 41658 79386 283709 367979 567418 701243 735958 851127 1103937 1402486 1702254 1849511 2103729 2207874 3699022 4207458 5548533 11097066 37165879 74331758 98024083 111497637 186800611 196048166 222995274 242285941 294072249 373601222 484571882 560401833 588144498 726857823 1120803666 1453715646 5195276399 9900432383 10390552798 12841154873 15585829197 19800864766 24470880041 25682309746 29701297149 31171658394 38523464619 48941760082 59402594298 73412640123 77046929238 146825280246 524722916299 680581208269 1049445832598 1296956642173 1361162416538 1574168748897 2041743624807 2593913284346 3148337497794 3890869926519 4083487249614 7781739853038 68738702035169 137477404070338 206216106105507 412432212211014