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14412045204 = 2235293116493
BaseRepresentation
bin11010110110000011…
…00101101110010100
31101012101210202100000
431123001211232110
5214003440421304
610342032051300
71020100235334
oct153301455624
941171722300
1014412045204
116126250967
122962693b30
131488aa9bcb
149aa0d50c4
155953c5939
hex35b065b94

14412045204 has 144 divisors (see below), whose sum is σ = 40345643520. Its totient is φ = 4488462720.

The previous prime is 14412045169. The next prime is 14412045253. The reversal of 14412045204 is 40254021441.

14412045204 is a `hidden beast` number, since 1 + 4 + 412 + 0 + 45 + 204 = 666.

14412045204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 865582 + ... + 882074.

It is an arithmetic number, because the mean of its divisors is an integer number (280178080).

Almost surely, 214412045204 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 14412045204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20172821760).

14412045204 is an abundant number, since it is smaller than the sum of its proper divisors (25933598316).

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

14412045204 is a wasteful number, since it uses less digits than its factorization.

14412045204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16572 (or 16558 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14412045204 its reverse (40254021441), we get a palindrome (54666066645).

The spelling of 14412045204 in words is "fourteen billion, four hundred twelve million, forty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 81 87 93 108 116 124 162 174 186 243 261 279 324 348 372 486 522 558 783 837 899 972 1044 1116 1566 1674 1798 2349 2511 2697 3132 3348 3596 4698 5022 5394 7047 7533 8091 9396 10044 10788 14094 15066 16182 16493 24273 28188 30132 32364 32986 48546 49479 65972 72819 97092 98958 145638 148437 197916 218457 291276 296874 436914 445311 478297 511283 593748 873828 890622 956594 1022566 1335933 1434891 1533849 1781244 1913188 2045132 2671866 2869782 3067698 4007799 4304673 4601547 5343732 5739564 6135396 8015598 8609346 9203094 12914019 13804641 14827207 16031196 17218692 18406188 25828038 27609282 29654414 38742057 41413923 44481621 51656076 55218564 59308828 77484114 82827846 88963242 116226171 124241769 133444863 154968228 165655692 177926484 232452342 248483538 266889726 400334589 464904684 496967076 533779452 800669178 1201003767 1601338356 2402007534 3603011301 4804015068 7206022602 14412045204