Search a number
-
+
240355031412414 = 234710971060173291
BaseRepresentation
bin110110101001101000000100…
…010001000110111010111110
31011112000201100101210111112210
4312221220010101012322332
5223000434101020144124
62211105324353041250
7101425035512524422
oct6651500421067276
91145021311714483
10240355031412414
116a647aa620a346
1222b5a4b9856226
13a4164c7931669
14434d361c8cb82
151cbc2bc8bda29
hexda9a04446ebe

240355031412414 has 64 divisors (see below), whose sum is σ = 491438522207232. Its totient is φ = 78333759168000.

The previous prime is 240355031412359. The next prime is 240355031412421. The reversal of 240355031412414 is 414214130553042.

It is a super-2 number, since 2×2403550314124142 (a number of 30 digits) contains 22 as substring.

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, 3279425109 + ... + 3279498399.

It is an arithmetic number, because the mean of its divisors is an integer number (7678726909488).

Almost surely, 2240355031412414 is an apocalyptic number.

240355031412414 is an abundant number, since it is smaller than the sum of its proper divisors (251083490794818).

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

240355031412414 is a wasteful number, since it uses less digits than its factorization.

240355031412414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85041.

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 240355031412414 its reverse (414214130553042), we get a palindrome (654569161965456).

The spelling of 240355031412414 in words is "two hundred forty trillion, three hundred fifty-five billion, thirty-one million, four hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 47 94 141 282 1097 2194 3291 6582 10601 21202 31803 51559 63606 73291 103118 146582 154677 219873 309354 439746 498247 996494 1494741 2989482 3444677 6889354 10334031 11629297 20668062 23258594 34887891 69775782 80400227 160800454 241200681 482401362 546576959 776957891 1093153918 1553915782 1639730877 2330873673 3279461754 3778810669 4661747346 7557621338 11336432007 22672864014 36517020877 73034041754 109551062631 219102125262 852322806427 1704645612854 2556968419281 5113936838562 40059171902069 80118343804138 120177515706207 240355031412414