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3412014141030 = 2351122965369143
BaseRepresentation
bin110001101001101011111…
…001000000111001100110
3110002012000010120020122020
4301221223321000321212
5421400301110003110
611131242504244010
7501336614446245
oct61515371007146
913065003506566
103412014141030
1110a6033039050
12471330770606
131b99a0214421
14bb1dc91895c
155db4ac52d70
hex31a6be40e66

3412014141030 has 128 divisors (see below), whose sum is σ = 8986153374720. Its totient is φ = 822269852160.

The previous prime is 3412014141007. The next prime is 3412014141037. The reversal of 3412014141030 is 301414102143.

3412014141030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412014141037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49312639 + ... + 49381781.

It is an arithmetic number, because the mean of its divisors is an integer number (70204323240).

Almost surely, 23412014141030 is an apocalyptic number.

3412014141030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412014141030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493076687360).

3412014141030 is an abundant number, since it is smaller than the sum of its proper divisors (5574139233690).

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

3412014141030 is a wasteful number, since it uses less digits than its factorization.

3412014141030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70046.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3412014141030 its reverse (301414102143), we get a palindrome (3713428243173).

It can be divided in two parts, 34120 and 14141030, that added together give a triangular number (14175150 = T5324).

The spelling of 3412014141030 in words is "three trillion, four hundred twelve billion, fourteen million, one hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 229 330 458 653 687 1145 1306 1374 1959 2290 2519 3265 3435 3918 5038 6530 6870 7183 7557 9795 12595 14366 15114 19590 21549 25190 35915 37785 43098 69143 71830 75570 107745 138286 149537 207429 215490 299074 345715 414858 448611 691430 747685 760573 897222 1037145 1495370 1521146 1644907 2074290 2243055 2281719 3289814 3802865 4486110 4563438 4934721 7605730 8224535 9869442 11408595 15833747 16449070 22817190 24673605 31667494 45150379 47501241 49347210 79168735 90300758 95002482 135451137 158337470 174171217 225751895 237506205 270902274 348342434 451503790 475012410 496654169 522513651 677255685 870856085 993308338 1045027302 1354511370 1489962507 1741712170 2483270845 2612568255 2979925014 4966541690 5225136510 7449812535 10339436791 14899625070 20678873582 31018310373 51697183955 62036620746 103394367910 113733804701 155091551865 227467609402 310183103730 341201414103 568669023505 682402828206 1137338047010 1706007070515 3412014141030