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21227814434304 = 293212736273469
BaseRepresentation
bin1001101001110011111000…
…10101101011011000000000
32210011100200212221021111200
410310321330111223120000
510240244030443344204
6113051531234341200
74320442013353062
oct464717425533000
983140625837450
1021227814434304
116844735927315
12246a11412a800
13baca0b21719a
1453560882d732
1526c2b6880539
hex134e7c56b600

21227814434304 has 120 divisors (see below), whose sum is σ = 61747312323840. Its totient is φ = 7020221902848.

The previous prime is 21227814434227. The next prime is 21227814434347. The reversal of 21227814434304 is 40343441872212.

21227814434304 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 78 + 144 + 3 + 430 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21227814434304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17551519 + ... + 18721950.

It is an arithmetic number, because the mean of its divisors is an integer number (514560936032).

Almost surely, 221227814434304 is an apocalyptic number.

21227814434304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21227814434304 is an abundant number, since it is smaller than the sum of its proper divisors (40519497889536).

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

21227814434304 is a wasteful number, since it uses less digits than its factorization.

21227814434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36273620 (or 36273601 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 21227814434304 in words is "twenty-one trillion, two hundred twenty-seven billion, eight hundred fourteen million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1143 1152 1524 1536 2032 2286 2304 3048 4064 4572 4608 6096 8128 9144 12192 16256 18288 24384 32512 36576 48768 65024 73152 97536 146304 195072 292608 585216 36273469 72546938 108820407 145093876 217640814 290187752 326461221 435281628 580375504 652922442 870563256 1160751008 1305844884 1741126512 2321502016 2611689768 3482253024 4606730563 4643004032 5223379536 6964506048 9213461126 9286008064 10446759072 13820191689 13929012096 18426922252 18572016128 20893518144 27640383378 27858024192 36853844504 41460575067 41787036288 55280766756 55716048384 73707689008 82921150134 83574072576 110561533512 147415378016 165842300268 167148145152 221123067024 294830756032 331684600536 442246134048 589661512064 663369201072 884492268096 1179323024128 1326738402144 1768984536192 2358646048256 2653476804288 3537969072384 5306953608576 7075938144768 10613907217152 21227814434304