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234344101443432 = 23337347929758491
BaseRepresentation
bin110101010010001001111100…
…111010111111011101101000
31010201202002002100120222220120
4311102021330322333131220
5221203443204432142212
62150224105522523240
7100234542203023401
oct6522117472773550
91121662070528816
10234344101443432
116873a858a21482
1222349559506520
13a09b728026bc6
1441c245a61c9a8
151c15c640cb88c
hexd5227cebf768

234344101443432 has 64 divisors (see below), whose sum is σ = 601696837156800. Its totient is φ = 76003173711360.

The previous prime is 234344101443409. The next prime is 234344101443443.

234344101443432 is nontrivially palindromic in base 10.

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, 308581707 + ... + 309340197.

It is an arithmetic number, because the mean of its divisors is an integer number (9401513080575).

Almost surely, 2234344101443432 is an apocalyptic number.

It is an amenable number.

234344101443432 is an abundant number, since it is smaller than the sum of its proper divisors (367352735713368).

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

234344101443432 is a wasteful number, since it uses less digits than its factorization.

234344101443432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106466 (or 1106462 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

It can be divided in two parts, 23434410 and 1443432, that added together give a palindrome (24877842).

The spelling of 234344101443432 in words is "two hundred thirty-four trillion, three hundred forty-four billion, one hundred one million, four hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 347929 695858 758491 1043787 1391716 1516982 2087574 2275473 2783432 3033964 4175148 4550946 6067928 8350296 9101892 12873373 18203784 25746746 28064167 38620119 51493492 56128334 77240238 84192501 102986984 112256668 154480476 168385002 224513336 308960952 336770004 673540008 263901015139 527802030278 791703045417 1055604060556 1583406090834 2111208121112 3166812181668 6333624363336 9764337560143 19528675120286 29293012680429 39057350240572 58586025360858 78114700481144 117172050721716 234344101443432