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234212101212432 = 24372387329198669
BaseRepresentation
bin110101010000001111000001…
…000110000100100100010000
31010201021110101000212111012010
4311100033001012010210100
5221144312340402244212
62150043315351502520
7100222160130412650
oct6520170106044420
91121243330774163
10234212101212432
1168699881268182
1222327a5a987a40
13a08c14c926b45
1441b9cd7638360
151c125da85c03c
hexd503c1184910

234212101212432 has 80 divisors (see below), whose sum is σ = 691512335199360. Its totient is φ = 66914937839616.

The previous prime is 234212101212373. The next prime is 234212101212503.

234212101212432 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2342121012124323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 234212101212432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6578007 + ... + 22620662.

It is an arithmetic number, because the mean of its divisors is an integer number (8643904189992).

Almost surely, 2234212101212432 is an apocalyptic number.

It is an amenable number.

234212101212432 is an abundant number, since it is smaller than the sum of its proper divisors (457300233986928).

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

234212101212432 is a wasteful number, since it uses less digits than its factorization.

234212101212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29222560 (or 29222554 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 23421210 and 1212432, that added together give a palindrome (24633642).

The spelling of 234212101212432 in words is "two hundred thirty-four trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 23873 47746 71619 95492 143238 167111 190984 286476 334222 381968 501333 572952 668444 1002666 1145904 1336888 2005332 2673776 4010664 8021328 29198669 58397338 87596007 116794676 175192014 204390683 233589352 350384028 408781366 467178704 613172049 700768056 817562732 1226344098 1401536112 1635125464 2452688196 3270250928 4905376392 9810752784 697059825037 1394119650074 2091179475111 2788239300148 4182358950222 4879418775259 5576478600296 8364717900444 9758837550518 11152957200592 14638256325777 16729435800888 19517675101036 29276512651554 33458871601776 39035350202072 58553025303108 78070700404144 117106050606216 234212101212432