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411140140224 = 26311194668627
BaseRepresentation
bin1011111101110011101…
…11001010110011000000
31110022020001201010110220
411332321313022303000
523214003333441344
6512513012023040
741463302346642
oct5767167126300
91408201633426
10411140140224
111493aa988660
1267822001a80
132ca025c1aa8
1415c83912892
15aa6491ac19
hex5fb9dcacc0

411140140224 has 56 divisors (see below), whose sum is σ = 1186699956288. Its totient is φ = 124587920640.

The previous prime is 411140140217. The next prime is 411140140247. The reversal of 411140140224 is 422041041114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 411140140194 and 411140140203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97332202 + ... + 97336425.

It is an arithmetic number, because the mean of its divisors is an integer number (21191070648).

Almost surely, 2411140140224 is an apocalyptic number.

411140140224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

411140140224 is an abundant number, since it is smaller than the sum of its proper divisors (775559816064).

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

411140140224 is a wasteful number, since it uses less digits than its factorization.

411140140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194668653 (or 194668643 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 411140140224 its reverse (422041041114), we get a palindrome (833181181338).

The spelling of 411140140224 in words is "four hundred eleven billion, one hundred forty million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 194668627 389337254 584005881 778674508 1168011762 1557349016 2141354897 2336023524 3114698032 4282709794 4672047048 6229396064 6424064691 8565419588 9344094096 12458792128 12848129382 17130839176 18688188192 25696258764 34261678352 37376376384 51392517528 68523356704 102785035056 137046713408 205570070112 411140140224