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1414030311342 = 2321123691449353
BaseRepresentation
bin10100100100111010110…
…001100011111110101110
312000011212012111110101200
4110210322301203332232
5141131413224430332
63001332504550330
7204105663221565
oct24447261437656
95004765443350
101414030311342
114a5761279920
121aa06ba823a6
13a345b59964c
144c621b32bdc
1526baec7e17c
hex1493ac63fae

1414030311342 has 96 divisors (see below), whose sum is σ = 3492623736576. Its totient is φ = 409269801600.

The previous prime is 1414030311299. The next prime is 1414030311349. The reversal of 1414030311342 is 2431130304141.

1414030311342 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 3 + 0 + 311 + 342 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414030311349) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2922138 + ... + 3371490.

It is an arithmetic number, because the mean of its divisors is an integer number (36381497256).

Almost surely, 21414030311342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414030311342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746311868288).

1414030311342 is an abundant number, since it is smaller than the sum of its proper divisors (2078593425234).

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

1414030311342 is a wasteful number, since it uses less digits than its factorization.

1414030311342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450086 (or 450083 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1414030311342 its reverse (2431130304141), we get a palindrome (3845160615483).

The spelling of 1414030311342 in words is "one trillion, four hundred fourteen billion, thirty million, three hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 691 759 1382 1518 2073 2277 4146 4554 6219 7601 12438 15202 15893 22803 31786 45606 47679 68409 95358 136818 143037 174823 286074 349646 449353 524469 898706 1048938 1348059 1573407 2696118 3146814 4044177 4942883 8088354 9885766 10335119 14828649 20670238 29657298 31005357 44485947 62010714 88971894 93016071 113686309 186032142 227372618 310502923 341058927 621005846 682117854 931508769 1023176781 1863017538 2046353562 2794526307 3415532153 5589052614 6831064306 7141567229 10246596459 14283134458 20493192918 21424701687 30739789377 42849403374 61479578754 64274105061 78557239519 128548210122 157114479038 235671718557 471343437114 707015155671 1414030311342