Search a number
-
+
240330340004144 = 24132194750798467
BaseRepresentation
bin110110101001010001000100…
…100010110111000100110000
31011111221100121121120000000012
4312221101010202313010300
5223000033014020113034
62211050122314314052
7101423202603155405
oct6651210442670460
91144840547500005
10240330340004144
116a638585595905
1222b55768728928
13a414091313800
14434c09c8b42ac
151cbb824d55cce
hexda94448b7130

240330340004144 has 120 divisors (see below), whose sum is σ = 530767893234240. Its totient is φ = 105080432281344.

The previous prime is 240330340004123. The next prime is 240330340004263. The reversal of 240330340004144 is 441400043033042.

It is a self number, because there is not a number n which added to its sum of digits gives 240330340004144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2440670399 + ... + 2440768865.

It is an arithmetic number, because the mean of its divisors is an integer number (4423065776952).

Almost surely, 2240330340004144 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 240330340004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265383946617120).

240330340004144 is an abundant number, since it is smaller than the sum of its proper divisors (290437553230096).

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

240330340004144 is a wasteful number, since it uses less digits than its factorization.

240330340004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146027 (or 146008 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 240330340004144 its reverse (441400043033042), we get a palindrome (681730383037186).

The spelling of 240330340004144 in words is "two hundred forty trillion, three hundred thirty billion, three hundred forty million, four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 494 676 988 1352 1976 2704 3211 3952 6422 12844 25688 47507 51376 95014 98467 190028 196934 380056 393868 617591 760112 787736 902633 1235182 1280071 1575472 1805266 1870873 2470364 2560142 3610532 3741746 4940728 5120284 7221064 7483492 8028683 9881456 10240568 11734229 14442128 14966984 16057366 16640923 20481136 23468458 24321349 29933968 32114732 33281846 46936916 48642698 64229464 66563692 93873832 97285396 128458928 133127384 152544977 187747664 194570792 266254768 305089954 316177537 389141584 610179908 632355074 1220359816 1264710148 2440719632 2529420296 4677871769 5058840592 9355743538 18711487076 37422974152 60812332997 74845948304 88879563611 121624665994 177759127222 243249331988 355518254444 486498663976 711036508888 790560328961 972997327952 1155434326943 1422073017776 1581120657922 2310868653886 3162241315844 4621737307772 6324482631688 9243474615544 12648965263376 15020646250259 18486949231088 30041292500518 60082585001036 120165170002072 240330340004144