Search a number
-
+
344113263135150 = 235214391594224059
BaseRepresentation
bin100111000111110000001110…
…0110011111100100110101110
31200010101220110222010201101020
41032033200130303330212232
5330100422430330311100
63215511241204355010
7132324235310363025
oct11617403463744656
91603356428121336
10344113263135150
119a710685030a83
12327175576a5a66
1311a0198403a6b2
1460d92569758bc
1529bb297d4d5a0
hex138f81ccfc9ae

344113263135150 has 48 divisors (see below), whose sum is σ = 853993944460800. Its totient is φ = 91699767816160.

The previous prime is 344113263135133. The next prime is 344113263135151. The reversal of 344113263135150 is 51531362311443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344113263135151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796896180 + ... + 797327879.

It is an arithmetic number, because the mean of its divisors is an integer number (17791540509600).

Almost surely, 2344113263135150 is an apocalyptic number.

344113263135150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344113263135150 is an abundant number, since it is smaller than the sum of its proper divisors (509880681325650).

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

344113263135150 is a wasteful number, since it uses less digits than its factorization.

344113263135150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594225513 (or 1594225508 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 344113263135150 in words is "three hundred forty-four trillion, one hundred thirteen billion, two hundred sixty-three million, one hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 1439 2878 4317 7195 8634 14390 21585 35975 43170 71950 107925 215850 1594224059 3188448118 4782672177 7971120295 9565344354 15942240590 23913360885 39855601475 47826721770 79711202950 119566804425 239133608850 2294088420901 4588176841802 6882265262703 11470442104505 13764530525406 22940884209010 34411326313515 57352210522525 68822652627030 114704421045050 172056631567575 344113263135150