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344114221040 = 2455697559627
BaseRepresentation
bin1010000000111101100…
…11100100111111110000
31012220012220121122111122
411000132303210333300
521114221220033130
6422030042001412
733601320421562
oct5003663447760
91186186548448
10344114221040
11122a35563517
12568371a6268
13265b0385295
1412925cb7332
158e4047e2e5
hex501ece4ff0

344114221040 has 40 divisors (see below), whose sum is σ = 801471760560. Its totient is φ = 137403762176.

The previous prime is 344114221039. The next prime is 344114221057. The reversal of 344114221040 is 40122411443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3734294 + ... + 3825333.

It is an arithmetic number, because the mean of its divisors is an integer number (20036794014).

Almost surely, 2344114221040 is an apocalyptic number.

It is an amenable number.

344114221040 is an abundant number, since it is smaller than the sum of its proper divisors (457357539520).

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

344114221040 is a wasteful number, since it uses less digits than its factorization.

344114221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560209 (or 7560203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 344114221040 its reverse (40122411443), we get a palindrome (384236632483).

The spelling of 344114221040 in words is "three hundred forty-four billion, one hundred fourteen million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 569 1138 2276 2845 4552 5690 9104 11380 22760 45520 7559627 15119254 30238508 37798135 60477016 75596270 120954032 151192540 302385080 604770160 4301427763 8602855526 17205711052 21507138815 34411422104 43014277630 68822844208 86028555260 172057110520 344114221040