Search a number
-
+
140233233000321 = 32296771971164409
BaseRepresentation
bin11111111000101010011000…
…000010011110011110000001
3200101112011111010021120011100
4133320222120002132132001
5121340040130122002241
61214130131411405013
741352342146054616
oct3770523002363601
9611464433246140
10140233233000321
114075664217946a
121388a181bb3769
136032c24b48cb6
14268b478d5250d
151132bc53059b6
hex7f8a9809e781

140233233000321 has 96 divisors (see below), whose sum is σ = 217890360979200. Its totient is φ = 86761623674880.

The previous prime is 140233233000313. The next prime is 140233233000323. The reversal of 140233233000321 is 123000332332041.

140233233000321 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 3 + 3 + 2 + 330 + 0 + 0 + 321 = 666.

It is not a de Polignac number, because 140233233000321 - 23 = 140233233000313 is a prime.

It is a super-2 number, since 2×1402332330003212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140233233000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119850765 + ... + 121015173.

It is an arithmetic number, because the mean of its divisors is an integer number (2269691260200).

Almost surely, 2140233233000321 is an apocalyptic number.

It is an amenable number.

140233233000321 is a deficient number, since it is larger than the sum of its proper divisors (77657127978879).

140233233000321 is a wasteful number, since it uses less digits than its factorization.

140233233000321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164679 (or 1164676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 140233233000321 its reverse (123000332332041), we get a palindrome (263233565332362).

The spelling of 140233233000321 in words is "one hundred forty trillion, two hundred thirty-three billion, two hundred thirty-three million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 29 67 71 87 97 201 213 261 291 603 639 873 1943 2059 2813 4757 5829 6177 6499 6887 8439 14271 17487 18531 19497 20661 25317 42813 58491 61983 137953 188471 199723 413859 461429 565413 599169 1164409 1241577 1384287 1696239 1797507 3493227 4152861 10479681 13381441 33767861 40144323 78015403 82673039 101303583 112947673 120432969 234046209 248019117 303910749 338843019 702138627 744057351 1016529057 2262446687 2397518131 3275482517 5539093613 6787340061 7192554393 7567494091 8019284783 9826447551 16617280839 20362020183 21577663179 22702482273 24057854349 29479342653 49851842517 68107446819 72173563047 160633714777 219457328639 232559258707 481901144331 537292080461 658371985917 697677776121 1445703432993 1611876241383 1975115957751 2093033328363 4835628724149 15581470333369 46744411000107 140233233000321