Search a number
-
+
240542045331 = 3719231271731193
BaseRepresentation
bin1110000000000101101…
…1000101010010010011
3211222212210021222101220
43200001123011102103
512420112230422311
6302300430500123
723243566435620
oct3400133052223
9758783258356
10240542045331
1193016793995
123a751064643
13198b5788303
14b8dc66b347
1563cc82c206
hex38016c5493

240542045331 has 128 divisors (see below), whose sum is σ = 408464916480. Its totient is φ = 122758530048.

The previous prime is 240542045291. The next prime is 240542045353. The reversal of 240542045331 is 133540245042.

It is not a de Polignac number, because 240542045331 - 215 = 240542012563 is a prime.

It is a super-2 number, since 2×2405420453312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240542045292 and 240542045301.

It is not an unprimeable number, because it can be changed into a prime (240542045531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201627271 + ... + 201628463.

It is an arithmetic number, because the mean of its divisors is an integer number (3191132160).

Almost surely, 2240542045331 is an apocalyptic number.

240542045331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

240542045331 is a deficient number, since it is larger than the sum of its proper divisors (167922871149).

240542045331 is a wasteful number, since it uses less digits than its factorization.

240542045331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545.

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 240542045331 in words is "two hundred forty billion, five hundred forty-two million, forty-five thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 23 57 69 127 133 161 173 381 399 437 483 519 889 1193 1211 1311 2413 2667 2921 3059 3287 3579 3633 3979 7239 8351 8763 9177 9861 11937 16891 20447 21971 22667 23009 25053 27439 27853 50673 55499 61341 65913 68001 69027 75601 82317 83559 151511 153797 158669 166497 192073 206389 226803 388493 417449 454533 461391 476007 505333 521341 529207 576219 619167 1060577 1165479 1252347 1444723 1515999 1564023 1587621 2878709 2922143 3181731 3484753 3537331 3649387 3921391 4334169 4746947 8636127 8766429 9601327 10454259 10611993 10948161 11764173 14240841 20150963 24393271 26211403 27449737 28803981 33228629 60452889 66210307 67209289 73179813 78634209 82349211 90191993 99685887 183479821 198630921 201627867 270575979 463472149 498016657 550439463 602862269 631343951 1390416447 1494049971 1808586807 1894031853 3486116599 4220035883 10458349797 11454383111 12660107649 34363149333 80180681777 240542045331