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412423232214 = 237192973244129
BaseRepresentation
bin1100000000001100101…
…01110001101011010110
31110102112111001221210110
412000012111301223112
523224120321412324
6513244205103450
741540142426630
oct6000625615326
91412474057713
10412423232214
111499a9187664
1267b1b857b86
132cb78389b16
1415d660b1a50
15aadc3bb329
hex6006571ad6

412423232214 has 128 divisors (see below), whose sum is σ = 1040579712000. Its totient is φ = 106307002368.

The previous prime is 412423232167. The next prime is 412423232219. The reversal of 412423232214 is 412232324214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412423232219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1567302 + ... + 1811430.

It is an arithmetic number, because the mean of its divisors is an integer number (8129529000).

Almost surely, 2412423232214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412423232214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520289856000).

412423232214 is an abundant number, since it is smaller than the sum of its proper divisors (628156479786).

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

412423232214 is a wasteful number, since it uses less digits than its factorization.

412423232214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244262.

The product of its digits is 18432, while the sum is 30.

Adding to 412423232214 its reverse (412232324214), we get a palindrome (824655556428).

The spelling of 412423232214 in words is "four hundred twelve billion, four hundred twenty-three million, two hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 73 87 114 133 146 174 203 219 266 399 406 438 511 551 609 798 1022 1102 1218 1387 1533 1653 2117 2774 3066 3306 3857 4161 4234 6351 7714 8322 9709 11571 12702 14819 19418 23142 29127 29638 40223 44457 58254 80446 88914 120669 241338 244129 281561 488258 563122 732387 844683 1464774 1689366 1708903 3417806 4638451 5126709 7079741 9276902 10253418 13915353 14159482 17821417 21239223 27830706 32469157 35642834 42478446 49558187 53464251 64938314 97407471 99116374 106928502 124749919 134515079 148674561 194814942 249499838 269030158 297349122 338606923 374249757 403545237 516821093 677213846 748499514 807090474 941605553 1015820769 1033642186 1550463279 1883211106 2031641538 2370248461 2824816659 3100926558 3617747651 4740496922 5649633318 7110745383 7235495302 9819600767 10853242953 14221490766 19639201534 21706485906 29458802301 58917604602 68737205369 137474410738 206211616107 412423232214