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1104404144214 = 237219353560083
BaseRepresentation
bin10000000100100011100…
…111011110000001010110
310220120122211020110211010
4100010203213132001112
5121043304430103324
62203204541353050
7142535110223100
oct20044347360126
93816584213733
101104404144214
113964143907a8
1215a05a868786
13801b635c677
143b64c380570
151dadc457829
hex101239de056

1104404144214 has 96 divisors (see below), whose sum is σ = 2712329988480. Its totient is φ = 298089082368.

The previous prime is 1104404144213. The next prime is 1104404144227. The reversal of 1104404144214 is 4124414044011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104404144213) 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 47 ways as a sum of consecutive naturals, for example, 1691817 + ... + 2251899.

It is an arithmetic number, because the mean of its divisors is an integer number (28253437380).

Almost surely, 21104404144214 is an apocalyptic number.

1104404144214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104404144214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356164994240).

1104404144214 is an abundant number, since it is smaller than the sum of its proper divisors (1607925844266).

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

1104404144214 is a wasteful number, since it uses less digits than its factorization.

1104404144214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560474 (or 560467 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 1104404144214 its reverse (4124414044011), we get a palindrome (5228818188225).

The spelling of 1104404144214 in words is "one trillion, one hundred four billion, four hundred four million, one hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 353 399 706 798 931 1059 1862 2118 2471 2793 4942 5586 6707 7413 13414 14826 17297 20121 34594 40242 46949 51891 93898 103782 140847 281694 328643 560083 657286 985929 1120166 1680249 1971858 3360498 3920581 7841162 10641577 11761743 21283154 23523486 27444067 31924731 54888134 63849462 74491039 82332201 148982078 164664402 197709299 223473117 395418598 446946234 521437273 593127897 1042874546 1186255794 1383965093 1564311819 2767930186 3128623638 3756476681 4151895279 7512953362 8303790558 9687755651 11269430043 19375511302 22538860086 26295336767 29063266953 52590673534 58126533906 78886010301 157772020602 184067357369 368134714738 552202072107 1104404144214