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404441140230 = 2335532533261
BaseRepresentation
bin1011110001010101001…
…00100000110000000110
31102122221012100200002000
411320222210200300012
523111243412441410
6505444145130130
741135266653501
oct5705244406006
91378835320060
10404441140230
11146582530826
1266472629946
132c1a5776b7a
1415809d4a138
15a7c175bdc0
hex5e2a920c06

404441140230 has 96 divisors (see below), whose sum is σ = 1099244956320. Its totient is φ = 105815848320.

The previous prime is 404441140217. The next prime is 404441140237. The reversal of 404441140230 is 32041144404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 404441140194 and 404441140203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404441140237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491800 + ... + 1025060.

It is an arithmetic number, because the mean of its divisors is an integer number (11450468295).

Almost surely, 2404441140230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404441140230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549622478160).

404441140230 is an abundant number, since it is smaller than the sum of its proper divisors (694803816090).

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

404441140230 is a wasteful number, since it uses less digits than its factorization.

404441140230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533383 (or 533324 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 404441140230 its reverse (32041144404), we get a palindrome (436482284634).

The spelling of 404441140230 in words is "four hundred four billion, four hundred forty-one million, one hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2809 2862 4770 5618 7155 8427 14045 14310 16854 25281 28090 42135 50562 75843 84270 126405 151686 252810 379215 533261 758430 1066522 1599783 2666305 3199566 4799349 5332610 7998915 9598698 14398047 15997830 23996745 28262833 28796094 47993490 56525666 71990235 84788499 141314165 143980470 169576998 254365497 282628330 423942495 508730994 763096491 847884990 1271827485 1497930149 1526192982 2543654970 2995860298 3815482455 4493790447 7489650745 7630964910 8987580894 13481371341 14979301490 22468952235 26962742682 40444114023 44937904470 67406856705 80888228046 134813713410 202220570115 404441140230