Search a number
-
+
240535232413434 = 232746711813461317
BaseRepresentation
bin110110101100001111111001…
…000101010111111011111010
31011112122221110220202211100200
4312230033321011113323322
5223011412123444212214
62211324205453543030
7101444045202001350
oct6654177105277372
91145587426684320
10240535232413434
116a707467a58572
1222b8940a7a4a76
13a42a4b50c0a0a
144357d7864b7d0
151cc1d17a7cd09
hexdac3f9157efa

240535232413434 has 96 divisors (see below), whose sum is σ = 597392030342016. Its totient is φ = 68519103914880.

The previous prime is 240535232413417. The next prime is 240535232413451. The reversal of 240535232413434 is 434314232535042.

240535232413434 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 35 + 232 + 41 + 343 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (240535232413417) and next prime (240535232413451).

It is a super-5 number, since 5×2405352324134345 (a number of 73 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240535232413434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67761744 + ... + 71223060.

It is an arithmetic number, because the mean of its divisors is an integer number (6222833649396).

Almost surely, 2240535232413434 is an apocalyptic number.

240535232413434 is an abundant number, since it is smaller than the sum of its proper divisors (356856797928582).

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

240535232413434 is a wasteful number, since it uses less digits than its factorization.

240535232413434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462980 (or 3462977 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

Adding to 240535232413434 its reverse (434314232535042), we get a palindrome (674849464948476).

The spelling of 240535232413434 in words is "two hundred forty trillion, five hundred thirty-five billion, two hundred thirty-two million, four hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 467 934 1181 1401 2362 2802 3269 3543 4203 6538 7086 8267 8406 9807 10629 16534 19614 21258 24801 29421 49602 58842 74403 148806 551527 1103054 1654581 3309162 3461317 3860689 4963743 6922634 7721378 9927486 10383951 11582067 20767902 23164134 24229219 31151853 34746201 48458438 62303706 69492402 72687657 145375314 218062971 436125942 1616435039 3232870078 4087815377 4849305117 8175630754 9698610234 11315045273 12263446131 14547915351 22630090546 24526892262 28614707639 29095830702 33945135819 36790338393 57229415278 67890271638 73580676786 85844122917 101835407457 171688245834 203670814914 257532368751 515064737502 1909009781059 3818019562118 5727029343177 11454058686354 13363068467413 17181088029531 26726136934826 34362176059062 40089205402239 80178410804478 120267616206717 240535232413434