Search a number
-
+
234441551330532 = 223271372079929701
BaseRepresentation
bin110101010011100100101101…
…011000110011110011100100
31010202002101121210202011220100
4311103210231120303303210
5221212042244120034112
62150340543432104100
7100244562123265410
oct6523445530636344
91122071553664810
10234441551330532
1168778115935a57
1222364415235030
13a0a798840c5b0
1441c7062b05d40
151c185694dc2dc
hexd5392d633ce4

234441551330532 has 144 divisors (see below), whose sum is σ = 729474992227072. Its totient is φ = 61822153324800.

The previous prime is 234441551330513. The next prime is 234441551330549. The reversal of 234441551330532 is 235033155144432.

234441551330532 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 41 + 551 + 3 + 3 + 0 + 53 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18645282 + ... + 28574982.

Almost surely, 2234441551330532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234441551330532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364737496113536).

234441551330532 is an abundant number, since it is smaller than the sum of its proper divisors (495033440896540).

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

234441551330532 is a wasteful number, since it uses less digits than its factorization.

234441551330532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936938 (or 9936933 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 234441551330532 in words is "two hundred thirty-four trillion, four hundred forty-one billion, five hundred fifty-one million, three hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 7207 14414 21621 28828 43242 50449 64863 86484 93691 100898 129726 151347 187382 201796 259452 281073 302694 374764 454041 562146 605388 655837 843219 908082 1124292 1311674 1686438 1816164 1967511 2623348 3372876 3935022 5902533 7870044 9929701 11805066 19859402 23610132 29789103 39718804 59578206 69507907 89367309 119156412 129086113 139015814 178734618 208523721 258172226 278031628 357469236 387258339 417047442 516344452 625571163 774516678 834094884 903602791 1161775017 1251142326 1549033356 1807205582 2323550034 2502284652 2710808373 3614411164 4647100068 5421616746 8132425119 10843233492 16264850238 32529700476 71563355107 143126710214 214690065321 286253420428 429380130642 500943485749 644070195963 858760261284 930323616391 1001886971498 1288140391926 1502830457247 1860647232782 2003773942996 2576280783852 2790970849173 3005660914494 3721294465564 4508491371741 5581941698346 6011321828988 6512265314737 8372912547519 9016982743482 11163883396692 13024530629474 16745825095038 18033965486964 19536795944211 26049061258948 33491650190076 39073591888422 58610387832633 78147183776844 117220775665266 234441551330532