Search a number
-
+
340240031111344 = 247132385311910971
BaseRepresentation
bin100110101011100100100111…
…0001100010101100010110000
31122121200121222202202102220111
41031113021032030111202300
5324043443040431030334
63203344040144151104
7131444350102366210
oct11527111614254260
91577617882672814
10340240031111344
1199457a94583191
12321b096a008494
13117b0660644a80
1460039c377c240
1529506560d0064
hex135724e3158b0

340240031111344 has 160 divisors (see below), whose sum is σ = 847609923492864. Its totient is φ = 128597311687680.

The previous prime is 340240031111341. The next prime is 340240031111347. The reversal of 340240031111344 is 443111130042043.

It is an interprime number because it is at equal distance from previous prime (340240031111341) and next prime (340240031111347).

It is not an unprimeable number, because it can be changed into a prime (340240031111341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22609779 + ... + 34520749.

Almost surely, 2340240031111344 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 340240031111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423804961746432).

340240031111344 is an abundant number, since it is smaller than the sum of its proper divisors (507369892381520).

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

340240031111344 is a wasteful number, since it uses less digits than its factorization.

340240031111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11911875 (or 11911869 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 340240031111344 its reverse (443111130042043), we get a palindrome (783351161153387).

The spelling of 340240031111344 in words is "three hundred forty trillion, two hundred forty billion, thirty-one million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 853 1196 1288 1456 1706 2093 2392 2576 3412 4186 4784 5971 6824 8372 11089 11942 13648 16744 19619 22178 23884 33488 39238 44356 47768 77623 78476 88712 95536 137333 155246 156952 177424 255047 274666 310492 313904 510094 549332 620984 1020188 1098664 1241968 1785329 2040376 2197328 3570658 4080752 7141316 11910971 14282632 23821942 28565264 47643884 83376797 95287768 154842623 166753594 190575536 273952333 309685246 333507188 547904666 619370492 667014376 1083898361 1095809332 1238740984 1334028752 1917666331 2167796722 2191618664 2477481968 3561380329 3835332662 4335593444 4383237328 7122760658 7670665324 8671186888 10160058263 14245521316 15341330648 17342373776 20320116526 24929662303 28491042632 30682661296 40640233052 49859324606 56982085264 71120407841 81280466104 99718649212 132080757419 142240815682 162560932208 199437298424 233681340049 264161514838 284481631364 398874596848 467362680098 528323029676 568963262728 924565301933 934725360196 1056646059352 1137926525456 1635769380343 1849130603866 1869450720392 2113292118704 3037857420637 3271538760686 3698261207732 3738901440784 6075714841274 6543077521372 7396522415464 12151429682548 13086155042744 14793044830928 21265001944459 24302859365096 26172310085488 42530003888918 48605718730192 85060007777836 170120015555672 340240031111344