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414024031212 = 22311109712772239
BaseRepresentation
bin1100000011001011100…
…00010101101111101100
31110120200001020222012020
412001211300111233230
523240410122444322
6514111111510140
741624621125251
oct6014560255754
91416601228166
10414024031212
1114a64a854640
12682a7988350
1330071c1246c
1416078933428
15ab82bc705c
hex6065c15bec

414024031212 has 96 divisors (see below), whose sum is σ = 1056137564160. Its totient is φ = 125193361920.

The previous prime is 414024031189. The next prime is 414024031219. The reversal of 414024031212 is 212130420414.

It is not an unprimeable number, because it can be changed into a prime (414024031219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184913589 + ... + 184915827.

It is an arithmetic number, because the mean of its divisors is an integer number (11001432960).

Almost surely, 2414024031212 is an apocalyptic number.

It is an amenable number.

414024031212 is an abundant number, since it is smaller than the sum of its proper divisors (642113532948).

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

414024031212 is a wasteful number, since it uses less digits than its factorization.

414024031212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414024031212 its reverse (212130420414), we get a palindrome (626154451626).

The spelling of 414024031212 in words is "four hundred fourteen billion, twenty-four million, thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1097 1277 2194 2239 2554 3291 3831 4388 4478 5108 6582 6717 7662 8956 12067 13164 13434 14047 15324 24134 24629 26868 28094 36201 42141 48268 49258 56188 72402 73887 84282 98516 144804 147774 168564 295548 1400869 2456183 2801738 2859203 4202607 4912366 5603476 5718406 7368549 8405214 8577609 9824732 11436812 14737098 15409559 16810428 17155218 27018013 29474196 30819118 31451233 34310436 46228677 54036026 61638236 62902466 81054039 92457354 94353699 108072052 125804932 162108078 184914708 188707398 324216156 377414796 3136545691 6273091382 9409637073 12546182764 18819274146 34502002601 37638548292 69004005202 103506007803 138008010404 207012015606 414024031212