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414330412332 = 2231731602910867
BaseRepresentation
bin1100000011110000000…
…01000101110100101100
31110121110101202202002010
412001320001011310230
523242022041143312
6514201334401220
741635331252544
oct6017001056454
91417411682063
10414330412332
1114a797797281
1268372500210
13300c0535875
14160a74c8324
15ab9ea4693c
hex6078045d2c

414330412332 has 96 divisors (see below), whose sum is σ = 1056932997120. Its totient is φ = 125760476160.

The previous prime is 414330412303. The next prime is 414330412343. The reversal of 414330412332 is 233214033414.

Adding to 414330412332 its reverse (233214033414), we get a palindrome (647544445746).

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414330412332.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38121963 + ... + 38132829.

It is an arithmetic number, because the mean of its divisors is an integer number (11009718720).

Almost surely, 2414330412332 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 414330412332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528466498560).

414330412332 is an abundant number, since it is smaller than the sum of its proper divisors (642602584788).

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

414330412332 is a wasteful number, since it uses less digits than its factorization.

414330412332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16951 (or 16949 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 414330412332 in words is "four hundred fourteen billion, three hundred thirty million, four hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6029 6324 10867 12058 18087 21734 24116 32601 36174 43468 65202 72348 102493 130404 184739 186899 204986 307479 336877 369478 373798 409972 554217 560697 614958 673754 738956 747596 1010631 1108434 1121394 1229916 1347508 2021262 2216868 2242788 3177283 4042524 5726909 6354566 9531849 11453818 12709132 17180727 19063698 22907636 34361454 38127396 65517143 68722908 131034286 196551429 262068572 393102858 786205716 1113791431 2031031433 2227582862 3341374293 4062062866 4455165724 6093094299 6682748586 8124125732 12186188598 13365497172 24372377196 34527534361 69055068722 103582603083 138110137444 207165206166 414330412332