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2234414104344 = 233241977803251
BaseRepresentation
bin100000100000111101011…
…101010111111100011000
321220121102011100011122200
4200200331131113330120
5243102040002314334
64430250424450200
7320300602341552
oct40407535277430
97817364304580
102234414104344
11791678568a34
12301064919960
131329205a93a6
147a2093264d2
153d1c784d799
hex2083d757f18

2234414104344 has 96 divisors (see below), whose sum is σ = 6263046120240. Its totient is φ = 719147520000.

The previous prime is 2234414104309. The next prime is 2234414104361. The reversal of 2234414104344 is 4434014144322.

2234414104344 is a `hidden beast` number, since 2 + 234 + 4 + 1 + 410 + 4 + 3 + 4 + 4 = 666.

2234414104344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2234414104299 and 2234414104308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3615282 + ... + 4187969.

Almost surely, 22234414104344 is an apocalyptic number.

2234414104344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2234414104344 is an abundant number, since it is smaller than the sum of its proper divisors (4028632015896).

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

2234414104344 is a wasteful number, since it uses less digits than its factorization.

2234414104344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7803401 (or 7803394 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2234414104344 its reverse (4434014144322), we get a palindrome (6668428248666).

The spelling of 2234414104344 in words is "two trillion, two hundred thirty-four billion, four hundred fourteen million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 97 123 164 194 246 291 328 369 388 492 582 738 776 873 984 1164 1476 1746 2328 2952 3492 3977 6984 7954 11931 15908 23862 31816 35793 47724 71586 95448 143172 286344 7803251 15606502 23409753 31213004 46819506 62426008 70229259 93639012 140458518 187278024 280917036 319933291 561834072 639866582 756915347 959799873 1279733164 1513830694 1919599746 2270746041 2559466328 2879399619 3027661388 3839199492 4541492082 5758799238 6055322776 6812238123 7678398984 9082984164 11517598476 13624476246 18165968328 23035196952 27248952492 31033529227 54497904984 62067058454 93100587681 124134116908 186201175362 248268233816 279301763043 372402350724 558603526086 744804701448 1117207052172 2234414104344