Search a number
-
+
34412425157110 = 25711213312527701
BaseRepresentation
bin1111101001100010001000…
…11000001001100111110110
311111211210111002002012200011
413310301010120021213312
514002303121320011420
6201104503323410434
710151133655400230
oct764610430114766
9144753432065604
1034412425157110
11aa68255964500
123a39437683a1a
131628101b19990
1486d7dab3d250
153ea22d3d095a
hex1f4c446099f6

34412425157110 has 96 divisors (see below), whose sum is σ = 83797427681856. Its totient is φ = 9900877536000.

The previous prime is 34412425157093. The next prime is 34412425157111. The reversal of 34412425157110 is 1175152421443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412425157111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156153741 + ... + 156373960.

It is an arithmetic number, because the mean of its divisors is an integer number (872889871686).

Almost surely, 234412425157110 is an apocalyptic number.

34412425157110 is an abundant number, since it is smaller than the sum of its proper divisors (49385002524746).

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

34412425157110 is a wasteful number, since it uses less digits than its factorization.

34412425157110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312527750 (or 312527739 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

Adding to 34412425157110 its reverse (1175152421443), we get a palindrome (35587577578553).

The spelling of 34412425157110 in words is "thirty-four trillion, four hundred twelve billion, four hundred twenty-five million, one hundred fifty-seven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 312527701 625055402 1562638505 2187693907 3125277010 3437804711 4062860113 4375387814 6875609422 8125720226 10938469535 17189023555 20314300565 21876939070 24064632977 28440020791 34378047110 37815851821 40628601130 44691461243 48129265954 56880041582 75631703642 89382922486 120323164885 142200103955 189079259105 223457306215 240646329770 264710962747 284400207910 312840228701 378158518210 446914612430 491606073673 529421925494 625680457402 983212147346 1323554813735 1564201143505 2458030368365 2647109627470 3128402287010 3441242515711 4916060736730 6882485031422 17206212578555 34412425157110