Search a number
-
+
4223324341400 = 235283972622857
BaseRepresentation
bin111101011101010001101…
…111110100010010011000
3112221202010201211200202212
4331131101233310102120
51023143332012411100
612552100213414252
7614060625406343
oct75352157642230
915852121750685
104223324341400
11138911354177a
1258261293a388
13248347448048
141085a501b45a
1574cd1e5a635
hex3d751bf4498

4223324341400 has 96 divisors (see below), whose sum is σ = 10039985681040. Its totient is φ = 1651769794560.

The previous prime is 4223324341399. The next prime is 4223324341427. The reversal of 4223324341400 is 41434233224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298772 + ... + 2921628.

Almost surely, 24223324341400 is an apocalyptic number.

4223324341400 is a gapful number since it is divisible by the number (40) 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 4223324341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019992840520).

4223324341400 is an abundant number, since it is smaller than the sum of its proper divisors (5816661339640).

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

4223324341400 is a wasteful number, since it uses less digits than its factorization.

4223324341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623053 (or 2623044 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4223324341400 its reverse (41434233224), we get a palindrome (4264758574624).

The spelling of 4223324341400 in words is "four trillion, two hundred twenty-three billion, three hundred twenty-four million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 97 100 166 194 200 332 388 415 485 664 776 830 970 1660 1940 2075 2425 3320 3880 4150 4850 8051 8300 9700 16102 16600 19400 32204 40255 64408 80510 161020 201275 322040 402550 805100 1610200 2622857 5245714 10491428 13114285 20982856 26228570 52457140 65571425 104914280 131142850 217697131 254417129 262285700 435394262 508834258 524571400 870788524 1017668516 1088485655 1272085645 1741577048 2035337032 2176971310 2544171290 4353942620 5088342580 5442428275 6360428225 8707885240 10176685160 10884856550 12720856450 21116621707 21769713100 25441712900 42233243414 43539426200 50883425800 84466486828 105583108535 168932973656 211166217070 422332434140 527915542675 844664868280 1055831085350 2111662170700 4223324341400