Search a number
-
+
334300240202214 = 2311131481263083943
BaseRepresentation
bin100110000000010110101011…
…1000100001100100111100110
31121211122210100112020121111210
41030000231113010030213212
5322304133342442432324
63142555224335012250
7130262252410612056
oct11400552704144746
91554583315217453
10334300240202214
1197577a3244a970
12315b176206a086
131146c4ba160280
145c7a30a10d566
15289adb2decd29
hex1300b5710c9e6

334300240202214 has 64 divisors (see below), whose sum is σ = 786019056496128. Its totient is φ = 93447416198400.

The previous prime is 334300240202179. The next prime is 334300240202267. The reversal of 334300240202214 is 412202042003433.

It is a super-2 number, since 2×3343002402022142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130271274 + ... + 132812669.

It is an arithmetic number, because the mean of its divisors is an integer number (12281547757752).

Almost surely, 2334300240202214 is an apocalyptic number.

334300240202214 is an abundant number, since it is smaller than the sum of its proper divisors (451718816293914).

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

334300240202214 is a wasteful number, since it uses less digits than its factorization.

334300240202214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263085453.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 334300240202214 its reverse (412202042003433), we get a palindrome (746502282205647).

The spelling of 334300240202214 in words is "three hundred thirty-four trillion, three hundred billion, two hundred forty million, two hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1481 2962 4443 8886 16291 19253 32582 38506 48873 57759 97746 115518 211783 423566 635349 1270698 263083943 526167886 789251829 1578503658 2893923373 3420091259 5787846746 6840182518 8681770119 10260273777 17363540238 20520547554 37621003849 75242007698 112863011547 225726023094 389627319583 779254639166 1168881958749 2337763917498 4285900515413 5065155154579 8571801030826 10130310309158 12857701546239 15195465463737 25715403092478 30390930927474 55716706700369 111433413400738 167150120101107 334300240202214