Search a number
-
+
344113443245 = 511131943641919
BaseRepresentation
bin1010000000111101100…
…00100111000110101101
31012220012212011010120102
411000132300213012231
521114221020140440
6422030013200445
733601311002135
oct5003660470655
91186185133512
10344113443245
11122a35082110
1256836a90125
13265b0172250
1412925b53ac5
158e40378b15
hex501ec271ad

344113443245 has 128 divisors (see below), whose sum is σ = 523921305600. Its totient is φ = 213199257600.

The previous prime is 344113443103. The next prime is 344113443277. The reversal of 344113443245 is 542344311443.

It is not a de Polignac number, because 344113443245 - 212 = 344113439149 is a prime.

It is a super-2 number, since 2×3441134432452 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 344113443199 and 344113443208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 374442896 + ... + 374443814.

It is an arithmetic number, because the mean of its divisors is an integer number (4093135200).

Almost surely, 2344113443245 is an apocalyptic number.

It is an amenable number.

344113443245 is a deficient number, since it is larger than the sum of its proper divisors (179807862355).

344113443245 is a wasteful number, since it uses less digits than its factorization.

344113443245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651.

The product of its digits is 276480, while the sum is 38.

Adding to 344113443245 its reverse (542344311443), we get a palindrome (886457754688).

The spelling of 344113443245 in words is "three hundred forty-four billion, one hundred thirteen million, four hundred forty-three thousand, two hundred forty-five".

Divisors: 1 5 11 13 19 43 55 65 95 143 209 215 247 473 559 641 715 817 919 1045 1235 2365 2717 2795 3205 4085 4595 6149 7051 8333 8987 10109 10621 11947 12179 13585 17461 27563 30745 35255 39517 41665 44935 50545 53105 59735 60895 87305 91663 116831 131417 133969 137815 158327 192071 197585 226993 303193 358319 434687 458315 513721 523697 584155 589079 657085 669845 750823 791635 960355 1134965 1515965 1741597 1791595 2173435 2496923 2568605 2618485 2945395 3754115 3941509 5650931 5760667 6479869 6808061 7658027 8259053 8707985 9760699 11192501 12484615 19707545 25330397 28254655 28803335 32399345 34040305 38290135 41295265 48803495 55962505 74888671 84238297 107367689 123117511 126651985 145502513 278634367 329295161 374443355 421191485 481277543 536838445 615587555 727512565 1393171835 1600527643 1646475805 2406387715 3622246771 5294052973 6256608059 8002638215 18111233855 26470264865 31283040295 68822688649 344113443245