Search a number
-
+
231421023042400 = 2552439007746903
BaseRepresentation
bin110100100111100111100111…
…110111110011101101100000
31010100101122002222212211010101
4310213213213313303231200
5220313100223344324100
62140105203400112144
766513421454411632
oct6447474767635540
91110348088784111
10231421023042400
11678131174125a4
1221b56b40465654
139c18ba7926c49
144120ba16caa52
151bb4bd297786a
hexd279e7df3b60

231421023042400 has 144 divisors (see below), whose sum is σ = 578160054388224. Its totient is φ = 90405496097280.

The previous prime is 231421023042373. The next prime is 231421023042409. The reversal of 231421023042400 is 4240320124132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231421023042409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309467349 + ... + 310214251.

It is an arithmetic number, because the mean of its divisors is an integer number (4015000377696).

Almost surely, 2231421023042400 is an apocalyptic number.

231421023042400 is a gapful number since it is divisible by the number (20) 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 231421023042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289080027194112).

231421023042400 is an abundant number, since it is smaller than the sum of its proper divisors (346739031345824).

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

231421023042400 is a wasteful number, since it uses less digits than its factorization.

231421023042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755973 (or 755960 counting only the distinct ones).

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

Adding to 231421023042400 its reverse (4240320124132), we get a palindrome (235661343166532).

The spelling of 231421023042400 in words is "two hundred thirty-one trillion, four hundred twenty-one billion, twenty-three million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 430 688 800 860 1075 1376 1720 2150 3440 4300 6880 8600 9007 17200 18014 34400 36028 45035 72056 90070 144112 180140 225175 288224 360280 387301 450350 720560 746903 774602 900700 1441120 1493806 1549204 1801400 1936505 2987612 3098408 3602800 3734515 3873010 5975224 6196816 7205600 7469030 7746020 9682525 11950448 12393632 14938060 15492040 18672575 19365050 23900896 29876120 30984080 32116829 37345150 38730100 59752240 61968160 64233658 74690300 77460200 119504480 128467316 149380600 154920400 160584145 256934632 298761200 309840800 321168290 513869264 597522400 642336580 802920725 1027738528 1284673160 1605841450 2569346320 3211682900 5138692640 6423365800 6727355321 12846731600 13454710642 25693463200 26909421284 33636776605 53818842568 67273553210 107637685136 134547106420 168183883025 215275370272 269094212840 289276278803 336367766050 538188425680 578552557606 672735532100 1076376851360 1157105115212 1345471064200 1446381394015 2314210230424 2690942128400 2892762788030 4628420460848 5381884256800 5785525576060 7231906970075 9256840921696 11571051152120 14463813940150 23142102304240 28927627880300 46284204608480 57855255760600 115710511521200 231421023042400