Search a number
-
+
3340041100110 = 2345111328835717
BaseRepresentation
bin110000100110101001111…
…101101001101101001110
3102211022020012120221110000
4300212221331221231032
5414210401010200420
611034221012225130
7463211221626561
oct60465175515516
912738205527400
103340041100110
11107855a143150
1245b3a500b1a6
131b2c700a1550
14b7931c644d8
155bd37307690
hex309a9f69b4e

3340041100110 has 160 divisors (see below), whose sum is σ = 10551104559072. Its totient is φ = 747421758720.

The previous prime is 3340041100087. The next prime is 3340041100117. The reversal of 3340041100110 is 110011400433.

It is a super-2 number, since 2×33400411001102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340041100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14302029 + ... + 14533688.

Almost surely, 23340041100110 is an apocalyptic number.

3340041100110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3340041100110 is an abundant number, since it is smaller than the sum of its proper divisors (7211063458962).

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

3340041100110 is a wasteful number, since it uses less digits than its factorization.

3340041100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28835760 (or 28835751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3340041100110 its reverse (110011400433), we get a palindrome (3450052500543).

The spelling of 3340041100110 in words is "three trillion, three hundred forty billion, forty-one million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 81 90 99 110 117 130 135 143 162 165 195 198 234 270 286 297 330 351 390 405 429 495 585 594 702 715 810 858 891 990 1053 1170 1287 1430 1485 1755 1782 2106 2145 2574 2970 3510 3861 4290 4455 5265 6435 7722 8910 10530 11583 12870 19305 23166 38610 57915 115830 28835717 57671434 86507151 144178585 173014302 259521453 288357170 317192887 374864321 432535755 519042906 634385774 749728642 778564359 865071510 951578661 1124592963 1297607265 1557128718 1585964435 1874321605 1903157322 2249185926 2335693077 2595214530 2854735983 3171928870 3373778889 3748643210 3892821795 4123507531 4671386154 4757893305 5622964815 5709471966 6747557778 7785643590 8247015062 8564207949 9515786610 10121336667 11245929630 11678465385 12370522593 14273679915 16868894445 17128415898 20242673334 20617537655 23356930770 24741045186 25692623847 28547359830 30364010001 33737788890 37111567779 41235075310 42821039745 50606683335 51385247694 60728020002 61852612965 74223135558 85642079490 101213366670 111334703337 123705225930 128463119235 151820050005 185557838895 222669406674 256926238470 303640100010 334004110011 371115677790 556673516685 668008220022 1113347033370 1670020550055 3340041100110