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234799362721 = 74112292312
BaseRepresentation
bin1101101010101100100…
…0011111001010100001
3211110001120102110211101
43122223020133022201
512321332114101341
6255510525114401
722651355440000
oct3325310371241
9743046373741
10234799362721
119063a134500
12396099b8a01
13191abac4771
14b515ac0c37
1561935c1831
hex36ab21f2a1

234799362721 has 135 divisors (see below), whose sum is σ = 322204909299. Its totient is φ = 170953120800.

The previous prime is 234799362713. The next prime is 234799362761. The reversal of 234799362721 is 127263997432.

The square root of 234799362721 is 484561.

It is a perfect power (a square), and thus also a powerful number.

234799362721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 123123090321 + 111676272400 = 350889^2 + 334180^2 .

It is not a de Polignac number, because 234799362721 - 23 = 234799362713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234799362761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7574172976 + ... + 7574173006.

Almost surely, 2234799362721 is an apocalyptic number.

234799362721 is the 484561-st square number.

234799362721 is the 242281-st centered octagonal number.

It is an amenable number.

234799362721 is a deficient number, since it is larger than the sum of its proper divisors (87405546578).

234799362721 is an frugal number, since it uses more digits than its factorization.

234799362721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 78 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 55.

The spelling of 234799362721 in words is "two hundred thirty-four billion, seven hundred ninety-nine million, three hundred sixty-two thousand, seven hundred twenty-one".

Divisors: 1 7 11 29 31 49 77 121 203 217 319 341 343 539 841 847 899 961 1421 1519 2233 2387 2401 3509 3751 3773 5887 5929 6293 6727 9251 9889 9947 10571 10633 15631 16709 24563 26071 26257 26411 27869 41209 41503 44051 47089 64757 69223 69629 73997 74431 101761 108779 109417 116281 116963 171941 182497 183799 195083 286781 288463 290521 306559 308357 329623 453299 484561 517979 712327 761453 765919 808201 813967 818741 1203587 1277479 1286593 1365581 2007467 2019241 2145913 2158499 2307361 3154591 3173093 3372149 3391927 3625853 4986289 5330171 5657407 5697769 8425109 8890211 8942353 9006151 9559067 14052269 15021391 22082137 22211651 23605043 23743489 25380971 34904023 37311197 39601849 39884383 62231477 62596471 66913469 97792321 98365883 105149737 154574959 165235301 244328161 261178379 277212943 279190681 435620339 684546247 688561181 736048159 1082024713 1156647107 1940490601 3049342373 4791823729 7574172991 8096529749 21345396611 33542766103 234799362721