Search a number
-
+
240104222332030 = 25779179727333647
BaseRepresentation
bin110110100101111110011110…
…111000011001010001111110
31011111010201222002021002210101
4312211332132320121101332
5222432331421404111110
62210354205040031314
7101400646313521630
oct6645763670312176
91144121862232711
10240104222332030
116a5606a1003021
1222b1998230253a
13a3c89670607a4
14434116bc2aa50
151cb59dda3713a
hexda5f9ee1947e

240104222332030 has 128 divisors (see below), whose sum is σ = 503668614758400. Its totient is φ = 80713910699136.

The previous prime is 240104222331991. The next prime is 240104222332031. The reversal of 240104222332030 is 30233222401042.

It is a self number, because there is not a number n which added to its sum of digits gives 240104222332030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240104222332031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719468667 + ... + 719802313.

It is an arithmetic number, because the mean of its divisors is an integer number (3934911052800).

Almost surely, 2240104222332030 is an apocalyptic number.

240104222332030 is an abundant number, since it is smaller than the sum of its proper divisors (263564392426370).

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

240104222332030 is a wasteful number, since it uses less digits than its factorization.

240104222332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334646.

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 240104222332030 its reverse (30233222401042), we get a palindrome (270337444733072).

The spelling of 240104222332030 in words is "two hundred forty trillion, one hundred four billion, two hundred twenty-two million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 5 7 10 14 35 70 79 158 179 358 395 553 727 790 895 1106 1253 1454 1790 2506 2765 3635 5089 5530 6265 7270 10178 12530 14141 25445 28282 50890 57433 70705 98987 114866 130133 141410 197974 260266 287165 333647 402031 494935 574330 650665 667294 804062 910931 989870 1301330 1668235 1821862 2010155 2335529 3336470 4020310 4554655 4671058 9109310 10280507 11677645 20561014 23355290 26358113 51402535 52716226 59722813 71963549 102805070 119445626 131790565 143927098 184506791 242561369 263581130 298614065 359817745 369013582 418059691 485122738 597228130 719635490 836119382 922533955 1212806845 1697929583 1845067910 2090298455 2425613690 3395859166 4180596910 4718102227 8489647915 9436204454 16979295830 19162348151 23590511135 33026715589 38324696302 43418485051 47181022270 66053431178 86836970102 95811740755 134136437057 165133577945 191623481510 217092425255 268272874114 303929395357 330267155890 434184850510 607858790714 670682185285 1341364370570 1519646976785 3039293953570 3430060319029 6860120638058 17150301595145 24010422233203 34300603190290 48020844466406 120052111166015 240104222332030