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240322023452225 = 521121379103974453
BaseRepresentation
bin110110101001001001010100…
…110101101110111001000001
31011111220120011000111101111202
4312221021110311232321001
5222444414001000432400
62211042225145550545
7101422456526510351
oct6651112465567101
91144816130441452
10240322023452225
116a634aa8069300
1222b540274a5455
13a413367328a80
14434b910168b61
151cbb4d9b7c4d5
hexda9254d6ee41

240322023452225 has 144 divisors (see below), whose sum is σ = 357563131161600. Its totient is φ = 159137397619200.

The previous prime is 240322023452209. The next prime is 240322023452243. The reversal of 240322023452225 is 522254320223042.

240322023452225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 240322023452225 - 24 = 240322023452209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3227798099 + ... + 3227872551.

Almost surely, 2240322023452225 is an apocalyptic number.

240322023452225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240322023452225 is a deficient number, since it is larger than the sum of its proper divisors (117241107709375).

240322023452225 is a wasteful number, since it uses less digits than its factorization.

240322023452225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75616 (or 75600 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 38.

Adding to 240322023452225 its reverse (522254320223042), we get a palindrome (762576343675267).

The spelling of 240322023452225 in words is "two hundred forty trillion, three hundred twenty-two billion, twenty-three million, four hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 79 121 143 275 325 395 605 715 869 1027 1039 1573 1975 3025 3575 4345 5135 5195 7865 9559 11297 11429 13507 21725 25675 25975 39325 47795 56485 57145 67535 74453 82081 124267 125719 148577 238975 282425 285725 337675 372265 410405 621335 628595 742885 818983 902891 967889 1067053 1634347 1861325 2052025 3106675 3142975 3714425 4094915 4514455 4839445 5335265 5881787 8171735 9008813 9931801 10646779 11737583 20474575 22572275 24197225 26676325 29408935 40858675 45044065 49659005 53233895 58687915 64699657 76463231 77356667 117114569 129113413 147044675 225220325 248295025 266169475 293439575 323498285 382316155 386783335 585572845 645567065 711696227 841095541 850923337 1005636671 1617491425 1911580775 1933916675 2927864225 3227835325 3558481135 4205477705 4254616685 5028183355 6111176693 9252050951 9360156707 11062003381 17792405675 21027388525 21273083425 25140916775 30555883465 46260254755 46800783535 55310016905 67222943623 79445297009 121682037191 152779417325 231301273775 234003917675 276550084525 336114718115 397226485045 608410185955 739452379853 873898267099 1680573590575 1986132425225 3042050929775 3697261899265 4369491335495 9612880938089 18486309496325 21847456677475 48064404690445 240322023452225