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411030030432 = 25372325326861
BaseRepresentation
bin1011111101100110100…
…11001000100001100000
31110021221101111222020110
411332303103020201200
523213242141433212
6512454040011320
741460464420100
oct5766323104140
91407841458213
10411030030432
1114935381152a
12677b1160b40
132c9b584b778
1415c7304d200
15aa59e1aa3c
hex5fb34c8860

411030030432 has 144 divisors (see below), whose sum is σ = 1255542129072. Its totient is φ = 117396679680.

The previous prime is 411030030427. The next prime is 411030030457. The reversal of 411030030432 is 234030030114.

It is a super-2 number, since 2×4110300304322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 411030030399 and 411030030408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15288682 + ... + 15315542.

It is an arithmetic number, because the mean of its divisors is an integer number (8719042563).

Almost surely, 2411030030432 is an apocalyptic number.

411030030432 is a gapful number since it is divisible by the number (42) 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 411030030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627771064536).

411030030432 is an abundant number, since it is smaller than the sum of its proper divisors (844512098640).

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

411030030432 is a wasteful number, since it uses less digits than its factorization.

411030030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30141 (or 30126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 411030030432 its reverse (234030030114), we get a palindrome (645060060546).

The spelling of 411030030432 in words is "four hundred eleven billion, thirty million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 3253 4704 6506 9759 13012 19518 22771 26024 26861 39036 45542 52048 53722 68313 78072 80583 91084 104096 107444 136626 156144 159397 161166 182168 188027 214888 273252 312288 318794 322332 364336 376054 429776 478191 546504 564081 637588 644664 728672 752108 859552 956382 1093008 1128162 1275176 1289328 1316189 1504216 1912764 2186016 2256324 2550352 2578656 2632378 3008432 3825528 3948567 4512648 5100704 5264756 6016864 7651056 7897134 9025296 10529512 15302112 15794268 18050592 21059024 31588536 42118048 63177072 87378833 126354144 174757666 262136499 349515332 524272998 611651831 699030664 1048545996 1223303662 1398061328 1834955493 2097091992 2446607324 2796122656 3669910986 4194183984 4281562817 4893214648 7339821972 8388367968 8563125634 9786429296 12844688451 14679643944 17126251268 19572858592 25689376902 29359287888 34252502536 51378753804 58718575776 68505005072 102757507608 137010010144 205515015216 411030030432