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34214043205110 = 23523928316861601
BaseRepresentation
bin1111100011110000100111…
…11001000011110111110110
311111010211102111102212202110
413301320103321003313312
513441030330030030420
6200433414153551450
710130611612542306
oct761702371036766
9144124374385673
1034214043205110
11a9a110448175a
123a06ab1a15586
1316124a7ab2372
14863d7b8cd606
153e4ebc022ee0
hex1f1e13e43df6

34214043205110 has 64 divisors (see below), whose sum is σ = 82748649047040. Its totient is φ = 9053465164800.

The previous prime is 34214043205093. The next prime is 34214043205123. The reversal of 34214043205110 is 1150234041243.

It is a super-2 number, since 2×342140432051102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6401691 + ... + 10459910.

It is an arithmetic number, because the mean of its divisors is an integer number (1292947641360).

Almost surely, 234214043205110 is an apocalyptic number.

34214043205110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34214043205110 is an abundant number, since it is smaller than the sum of its proper divisors (48534605841930).

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

34214043205110 is a wasteful number, since it uses less digits than its factorization.

34214043205110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862133.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 34214043205110 its reverse (1150234041243), we get a palindrome (35364277246353).

The spelling of 34214043205110 in words is "thirty-four trillion, two hundred fourteen billion, forty-three million, two hundred five thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 239 283 478 566 717 849 1195 1415 1434 1698 2390 2830 3585 4245 7170 8490 67637 135274 202911 338185 405822 676370 1014555 2029110 16861601 33723202 50584803 84308005 101169606 168616010 252924015 505848030 4029922639 4771833083 8059845278 9543666166 12089767917 14315499249 20149613195 23859165415 24179535834 28630998498 40299226390 47718330830 60448839585 71577496245 120897679170 143154992490 1140468106837 2280936213674 3421404320511 5702340534185 6842808641022 11404681068370 17107021602555 34214043205110