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234344651116065 = 35729241367870131
BaseRepresentation
bin110101010010001010011101…
…101011110100111000100001
31010201202010111122220021000020
4311102022131223310320201
5221204000321141203230
62150224240240144053
7100234561626122460
oct6522123553647041
91121663448807006
10234344651116065
1168740010225686
1222349691608029
13a09b7b4b81399
1441c24ad6249d7
151c15c974a7810
hexd5229daf4e21

234344651116065 has 128 divisors (see below), whose sum is σ = 446345138257920. Its totient is φ = 102724902604800.

The previous prime is 234344651116013. The next prime is 234344651116117. The reversal of 234344651116065 is 560611156443432.

234344651116065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234344651116013) and next prime (234344651116117).

It is not a de Polignac number, because 234344651116065 - 27 = 234344651115937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234344651115999 and 234344651116017.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268886050 + ... + 269756180.

It is an arithmetic number, because the mean of its divisors is an integer number (3487071392640).

Almost surely, 2234344651116065 is an apocalyptic number.

It is an amenable number.

234344651116065 is a deficient number, since it is larger than the sum of its proper divisors (212000487141855).

234344651116065 is a wasteful number, since it uses less digits than its factorization.

234344651116065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870783.

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 234344651116065 in words is "two hundred thirty-four trillion, three hundred forty-four billion, six hundred fifty-one million, one hundred sixteen thousand, sixty-five".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 241 367 435 609 723 1015 1101 1205 1687 1835 2569 3045 3615 5061 5505 6989 7707 8435 10643 12845 20967 25305 31929 34945 38535 48923 53215 74501 88447 104835 146769 159645 223503 244615 265341 372505 442235 619129 733845 870131 1117515 1326705 1857387 2564963 2610393 3095645 4350655 6090917 7694889 9286935 12824815 13051965 17954741 18272751 25233799 30454585 38474445 53864223 75701397 89773705 91363755 126168995 176636593 209701571 269321115 319338077 378506985 529909779 629104713 883182965 958014231 1048507855 1467910997 1596690385 2235366539 2649548895 3145523565 4403732991 4790071155 6081345559 6706099617 7339554985 9260804233 11176832695 18244036677 22018664955 27782412699 30406727795 33530498085 42569418913 46304021165 64825629631 76960476557 91220183385 127708256739 138912063495 194476888893 212847094565 230881429671 324128148155 384802382785 538723335899 638541283695 972384444465 1154407148355 1616170007697 2231853820153 2693616679495 6695561460459 8080850038485 11159269100765 15622976741071 33477807302295 46868930223213 78114883705355 234344651116065