Search a number
-
+
34011422500 = 2254112353773
BaseRepresentation
bin11111101011001111…
…010001111100100100
310020210022111021112211
4133223033101330210
51024123411010000
623342530453204
72312556215116
oct375317217444
9106708437484
1034011422500
111347361a140
126712434204
133290485993
1419090d33b6
15d40da87ba
hex7eb3d1f24

34011422500 has 120 divisors (see below), whose sum is σ = 84666947904. Its totient is φ = 11829840000.

The previous prime is 34011422447. The next prime is 34011422503. The reversal of 34011422500 is 522411043.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34011422503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 605614 + ... + 659386.

Almost surely, 234011422500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34011422500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42333473952).

34011422500 is an abundant number, since it is smaller than the sum of its proper divisors (50655525404).

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

34011422500 is a wasteful number, since it uses less digits than its factorization.

34011422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53831 (or 53814 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 34011422500 its reverse (522411043), we get a palindrome (34533833543).

The spelling of 34011422500 in words is "thirty-four billion, eleven million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 125 220 230 250 253 275 460 500 506 550 575 625 1012 1100 1150 1250 1265 1375 2300 2500 2530 2750 2875 5060 5500 5750 6325 6875 11500 12650 13750 14375 25300 27500 28750 31625 53773 57500 63250 107546 126500 158125 215092 268865 316250 537730 591503 632500 1075460 1183006 1236779 1344325 2366012 2473558 2688650 2957515 4947116 5377300 5915030 6183895 6721625 11830060 12367790 13443250 13604569 14787575 24735580 26886500 27209138 29575150 30919475 33608125 54418276 59150300 61838950 67216250 68022845 73937875 123677900 134432500 136045690 147875750 154597375 272091380 295751500 309194750 340114225 369689375 618389500 680228450 739378750 772986875 1360456900 1478757500 1545973750 1700571125 3091947500 3401142250 6802284500 8502855625 17005711250 34011422500