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2104304051214 = 2334183107107021
BaseRepresentation
bin11110100111110010010…
…010111010010000001110
321110011120120022122112000
4132213302102322100032
5233434103314114324
64250412014453130
7305013421211601
oct36476222722016
97404516278460
102104304051214
11741480861302
1229b9b32041a6
13123586981281
1473bc53b0338
1539b0eeeb9c9
hex1e9f24ba40e

2104304051214 has 128 divisors (see below), whose sum is σ = 4893354063360. Its totient is φ = 669756844800.

The previous prime is 2104304051203. The next prime is 2104304051221. The reversal of 2104304051214 is 4121504034012.

2104304051214 is a `hidden beast` number, since 2 + 1 + 0 + 43 + 0 + 405 + 1 + 214 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19609024 + ... + 19716044.

It is an arithmetic number, because the mean of its divisors is an integer number (38229328620).

Almost surely, 22104304051214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104304051214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446677031680).

2104304051214 is an abundant number, since it is smaller than the sum of its proper divisors (2789050012146).

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

2104304051214 is a wasteful number, since it uses less digits than its factorization.

2104304051214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107263 (or 107257 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2104304051214 its reverse (4121504034012), we get a palindrome (6225808085226).

The spelling of 2104304051214 in words is "two trillion, one hundred four billion, three hundred four million, fifty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 83 107 123 166 214 246 249 321 369 498 642 738 747 963 1107 1494 1926 2214 2241 2889 3403 4387 4482 5778 6806 8774 8881 10209 13161 17762 20418 26322 26643 30627 39483 53286 61254 78966 79929 91881 107021 118449 159858 183762 214042 236898 239787 321063 364121 479574 642126 728242 963189 1092363 1926378 2184726 2889567 3277089 4387861 5779134 6554178 8775722 8882743 9831267 11451247 13163583 17765486 19662534 22902494 26327166 26648229 34353741 39490749 53296458 68707482 78981498 79944687 103061223 118472247 159889374 206122446 236944494 239834061 309183669 364192463 469501127 479668122 618367338 728384926 939002254 950453501 1092577389 1408503381 1900907002 2185154778 2817006762 2851360503 3277732167 4225510143 5702721006 6555464334 8451020286 8554081509 9833196501 12676530429 17108163018 19666393002 25353060858 25662244527 38968593541 51324489054 77937187082 116905780623 233811561246 350717341869 701434683738 1052152025607 2104304051214