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4408045209216 = 273211231623373
BaseRepresentation
bin100000000100101001111…
…1110000000011010000000
3120121101221020202001012200
41000021103332000122000
51034210134033143331
613213010014553200
7633320320026435
oct100112376003200
916541836661180
104408045209216
11144a49466a800
125b2385508800
1325c8a51487ac
141134c9bb7b8c
15799e3d2e5e6
hex40253f80680

4408045209216 has 144 divisors (see below), whose sum is σ = 13942587479730. Its totient is φ = 1335771233280.

The previous prime is 4408045209181. The next prime is 4408045209299. The reversal of 4408045209216 is 6129025408044.

It is a happy number.

4408045209216 is a `hidden beast` number, since 4 + 40 + 80 + 4 + 520 + 9 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4252272906816 + 155772302400 = 2062104^2 + 394680^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×44080452092162 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15672295 + ... + 15951078.

Almost surely, 24408045209216 is an apocalyptic number.

It is an amenable number.

4408045209216 is an abundant number, since it is smaller than the sum of its proper divisors (9534542270514).

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

4408045209216 is a wasteful number, since it uses less digits than its factorization.

4408045209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31623415 (or 31623389 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4408045209216 in words is "four trillion, four hundred eight billion, forty-five million, two hundred nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 34848 46464 69696 139392 31623373 63246746 94870119 126493492 189740238 252986984 284610357 347857103 379480476 505973968 569220714 695714206 758960952 1011947936 1043571309 1138441428 1391428412 1517921904 2023895872 2087142618 2276882856 2782856824 3035843808 3130713927 3826428133 4047791744 4174285236 4553765712 5565713648 6071687616 6261427854 7652856266 8348570472 9107531424 11131427296 11479284399 12143375232 12522855708 15305712532 16697140944 18215062848 22262854592 22958568798 25045711416 30611425064 33394281888 34437853197 36430125696 44525709184 45917137596 50091422832 61222850128 66788563776 68875706394 91834275192 100182845664 122445700256 133577127552 137751412788 183668550384 200365691328 244891400512 275502825576 367337100768 400731382656 489782801024 551005651152 734674201536 1102011302304 1469348403072 2204022604608 4408045209216