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10240140330 = 2325722970979
BaseRepresentation
bin10011000100101110…
…00010010000101010
3222102122122000201200
421202113002100222
5131432433442310
64412041425030
7511521520350
oct114227022052
928378560650
1010240140330
114385323aa2
121b9949b176
13c7268a144
146d1dd37d0
153edee59c0
hex2625c242a

10240140330 has 96 divisors (see below), whose sum is σ = 30561148800. Its totient is φ = 2330349696.

The previous prime is 10240140311. The next prime is 10240140331. The reversal of 10240140330 is 3304104201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10240140331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108781 + ... + 179759.

It is an arithmetic number, because the mean of its divisors is an integer number (318345300).

Almost surely, 210240140330 is an apocalyptic number.

10240140330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240140330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280574400).

10240140330 is an abundant number, since it is smaller than the sum of its proper divisors (20321008470).

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

10240140330 is a wasteful number, since it uses less digits than its factorization.

10240140330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71228 (or 71225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10240140330 its reverse (3304104201), we get a palindrome (13544244531).

The spelling of 10240140330 in words is "ten billion, two hundred forty million, one hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 229 315 458 630 687 1145 1374 1603 2061 2290 3206 3435 4122 4809 6870 8015 9618 10305 14427 16030 20610 24045 28854 48090 70979 72135 141958 144270 212937 354895 425874 496853 638811 709790 993706 1064685 1277622 1490559 2129370 2484265 2981118 3194055 4471677 4968530 6388110 7452795 8943354 14905590 16254191 22358385 32508382 44716770 48762573 81270955 97525146 113779337 146287719 162541910 227558674 243812865 292575438 341338011 487625730 568896685 682676022 731438595 1024014033 1137793370 1462877190 1706690055 2048028066 3413380110 5120070165 10240140330