Search a number
-
+
240676221646332 = 2232107299172088473
BaseRepresentation
bin110110101110010011001100…
…101100100111010111111100
31011120011102101200212221112100
4312232103030230213113330
5223021214400220140312
62211513044014305100
7101460166064465523
oct6656231454472774
91146142350787470
10240676221646332
116a761237780a5a
1222bb07b77b8190
13a43a8938c0104
144360b113c34ba
151cc581a5555dc
hexdae4ccb275fc

240676221646332 has 72 divisors (see below), whose sum is σ = 614082581317296. Its totient is φ = 79472942463744.

The previous prime is 240676221646319. The next prime is 240676221646361. The reversal of 240676221646332 is 233646122676042.

240676221646332 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 7 + 622 + 1 + 6 + 4 + 6 + 3 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114196048 + ... + 116284520.

It is an arithmetic number, because the mean of its divisors is an integer number (8528924740518).

Almost surely, 2240676221646332 is an apocalyptic number.

It is an amenable number.

240676221646332 is an abundant number, since it is smaller than the sum of its proper divisors (373406359670964).

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

240676221646332 is a wasteful number, since it uses less digits than its factorization.

240676221646332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118507 (or 2118502 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 240676221646332 in words is "two hundred forty trillion, six hundred seventy-six billion, two hundred twenty-one million, six hundred forty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 29917 59834 89751 119668 179502 269253 359004 538506 1077012 2088473 3201119 4176946 6265419 6402238 8353892 9603357 12530838 12804476 18796257 19206714 25061676 28810071 37592514 38413428 57620142 75185028 115240284 223466611 446933222 670399833 893866444 1340799666 2011199499 2681599332 4022398998 8044797996 62480846741 124961693482 187442540223 249923386964 374885080446 562327620669 749770160892 1124655241338 2249310482676 6685450601287 13370901202574 20056351803861 26741802405148 40112703607722 60169055411583 80225407215444 120338110823166 240676221646332