Search a number
-
+
414402344103110 = 251147792831011001
BaseRepresentation
bin101111000111001011001000…
…0100000111010110011000110
32000100021110212212121012211212
41132032112100200322303012
5413304032000042244420
64025205450404331422
7153200403254622656
oct13616262040726306
92010243785535755
10414402344103110
11110050057887a80
123a589b4a6a3b72
1314a2cc8665749c
147449275308366
1532d98516093c5
hex178e59083acc6

414402344103110 has 64 divisors (see below), whose sum is σ = 831060337665024. Its totient is φ = 147483547680000.

The previous prime is 414402344103109. The next prime is 414402344103173. The reversal of 414402344103110 is 11301443204414.

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 31 ways as a sum of consecutive naturals, for example, 409387610 + ... + 410398610.

It is an arithmetic number, because the mean of its divisors is an integer number (12985317776016).

Almost surely, 2414402344103110 is an apocalyptic number.

414402344103110 is an abundant number, since it is smaller than the sum of its proper divisors (416657993561914).

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

414402344103110 is a wasteful number, since it uses less digits than its factorization.

414402344103110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090349.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 414402344103110 its reverse (11301443204414), we get a palindrome (425703787307524).

The spelling of 414402344103110 in words is "four hundred fourteen trillion, four hundred two billion, three hundred forty-four million, one hundred three thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 47 55 94 110 235 470 517 1034 2585 5170 79283 158566 396415 792830 872113 1011001 1744226 2022002 3726301 4360565 5055005 7452602 8721130 10110010 11121011 18631505 22242022 37263010 40989311 47517047 55605055 81978622 95034094 111210110 204946555 237585235 409893110 475170470 522687517 1045375034 2613437585 5226875170 80155192283 160310384566 400775961415 801551922830 881707115113 1763414230226 3767294037301 4408535575565 7534588074602 8817071151130 18836470186505 37672940373010 41440234410311 82880468820622 207201172051555 414402344103110