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404323411240 = 235756914991693
BaseRepresentation
bin1011110001000111000…
…11011010010100101000
31102122121222211102021001
411320203203122110220
523111023243124430
6505424341524344
741132340201340
oct5704343322450
91378558742231
10404323411240
11146522030241
126643b1136b4
132c187266848
14157d8461d20
15a7b62543ca
hex5e238da528

404323411240 has 128 divisors (see below), whose sum is σ = 1042826400000. Its totient is φ = 138207541248.

The previous prime is 404323411229. The next prime is 404323411267. The reversal of 404323411240 is 42114323404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 404323411199 and 404323411208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238819834 + ... + 238821526.

It is an arithmetic number, because the mean of its divisors is an integer number (8147081250).

Almost surely, 2404323411240 is an apocalyptic number.

404323411240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404323411240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521413200000).

404323411240 is an abundant number, since it is smaller than the sum of its proper divisors (638502988760).

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

404323411240 is a wasteful number, since it uses less digits than its factorization.

404323411240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 404323411240 its reverse (42114323404), we get a palindrome (446437734644).

The spelling of 404323411240 in words is "four hundred four billion, three hundred twenty-three million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 569 1138 1499 1693 2276 2845 2998 3386 3983 4552 5690 5996 6772 7495 7966 8465 10493 11380 11851 11992 13544 14990 15932 16930 19915 20986 22760 23702 29980 31864 33860 39830 41972 47404 52465 59255 59960 67720 79660 83944 94808 104930 118510 159320 209860 237020 419720 474040 852931 963317 1705862 1926634 2537807 3411724 3853268 4264655 4816585 5075614 5970517 6743219 6823448 7706536 8529310 9633170 10151228 11941034 12689035 13486438 17058620 17764649 19266340 20302456 23882068 25378070 26972876 29852585 33716095 34117240 35529298 38532680 47764136 50756140 53945752 59705170 67432190 71058596 88823245 101512280 119410340 134864380 142117192 177646490 238820680 269728760 355292980 710585960 1444012183 2888024366 5776048732 7220060915 10108085281 11552097464 14440121830 20216170562 28880243660 40432341124 50540426405 57760487320 80864682248 101080852810 202161705620 404323411240