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240760065438025 = 5272192233332
BaseRepresentation
bin110110101111100001010010…
…001011010011000101001001
31011120110102210220202212110121
4312233201102023103011021
5223024103103223004100
62212015351441543241
7101466224602116100
oct6657412213230511
91146412726685417
10240760065438025
116a793852379691
1223004ab6944b21
13a445766182983
144364bc684d037
151cc7ac61e051a
hexdaf8522d3149

240760065438025 has 81 divisors (see below), whose sum is σ = 366539936733621. Its totient is φ = 156396828127680.

The previous prime is 240760065437981. The next prime is 240760065438031. The reversal of 240760065438025 is 520834560067042.

The square root of 240760065438025 is 15516445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 107683353489481 + 133076711948544 = 10377059^2 + 11535888^2 .

It is not a de Polignac number, because 240760065438025 - 27 = 240760065437897 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 10318424259 + ... + 10318447591.

Almost surely, 2240760065438025 is an apocalyptic number.

240760065438025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240760065438025 is the 15516445-th square number.

240760065438025 is the 7758223-rd centered octagonal number.

It is an amenable number.

240760065438025 is a deficient number, since it is larger than the sum of its proper divisors (125779871295596).

240760065438025 is an frugal number, since it uses more digits than its factorization.

240760065438025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46728 (or 23364 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 240760065438025 in words is "two hundred forty trillion, seven hundred sixty billion, sixty-five million, four hundred thirty-eight thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 361 475 665 931 1225 1805 2527 3325 4655 9025 12635 17689 23275 23333 63175 88445 116665 163331 442225 443327 583325 816655 1143317 2216635 3103289 4083275 5716585 8423213 11083175 15516445 21723023 28582925 42116065 58962491 77582225 108615115 210580325 294812455 412737437 543075575 544428889 1474062275 2063687185 2722144445 3811002223 10318435925 10344148891 13610722225 19055011115 26677015561 51720744455 72409042237 95275055575 133385077805 196538828929 258603722275 362045211185 506863295659 666925389025 982694144645 1375771802503 1810226055925 2534316478295 4913470723225 6878859012515 9630402617521 12671582391475 34394295062575 48152013087605 240760065438025