Search a number
-
+
11304222423004 = 2272717926339097
BaseRepresentation
bin1010010001111111100000…
…1010010111011111011100
31111000200011200211000111201
42210133320022113133130
52440202021420014004
640013031005525244
72244463112130100
oct244377012273734
944020150730451
1011304222423004
1136691039480a5
121326a01273824
1363cca2c7c8c4
142b11ad3a9900
151490ae8c66a4
hexa47f82977dc

11304222423004 has 144 divisors (see below), whose sum is σ = 23722139105280. Its totient is φ = 4697919233280.

The previous prime is 11304222422981. The next prime is 11304222423121. The reversal of 11304222423004 is 40032422240311.

It is a super-3 number, since 3×113042224230043 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289113184 + ... + 289152280.

It is an arithmetic number, because the mean of its divisors is an integer number (164737077120).

Almost surely, 211304222423004 is an apocalyptic number.

11304222423004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304222423004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861069552640).

11304222423004 is an abundant number, since it is smaller than the sum of its proper divisors (12417916682276).

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

11304222423004 is a wasteful number, since it uses less digits than its factorization.

11304222423004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39528 (or 39519 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 11304222423004 its reverse (40032422240311), we get a palindrome (51336644663315).

The spelling of 11304222423004 in words is "eleven trillion, three hundred four billion, two hundred twenty-two million, four hundred twenty-three thousand, four".

Divisors: 1 2 4 7 14 28 49 71 79 98 142 158 196 263 284 316 497 526 553 994 1052 1106 1841 1988 2212 3479 3682 3871 5609 6958 7364 7742 11218 12887 13916 15484 18673 20777 22436 25774 37346 39097 39263 41554 51548 74692 78194 78526 83108 130711 145439 156388 157052 261422 273679 274841 290878 522844 547358 549682 581756 914977 1018073 1094716 1099364 1475167 1829954 1915753 2036146 2775887 2950334 3088663 3659908 3831506 4072292 5551774 5900668 6177326 7663012 10282511 10326169 11103548 12354652 19431209 20565022 20652338 21620641 38862418 41130044 41304676 43241282 71977577 72283183 77724836 86482564 136018463 143955154 144566366 151344487 219295073 272036926 287910308 289132732 302688974 438590146 503843039 544073852 605377948 730058281 812318369 877180292 1007686078 1460116562 1535065511 1624636738 2015372156 2920233124 3070131022 3249273476 5110407967 5686228583 6140262044 10220815934 10745458577 11372457166 20441631868 21490917154 22744914332 35772855769 39803600081 42981834308 57674604199 71545711538 79607200162 115349208398 143091423076 159214400324 230698416796 403722229393 807444458786 1614888917572 2826055605751 5652111211502 11304222423004