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411000143424 = 26313198666501
BaseRepresentation
bin1011111101100011000…
…01000111111001000000
31110021212022021112222020
411332301201013321000
523213212014042144
6512451051241440
741456652402003
oct5766141077100
91407768245866
10411000143424
11149338958a22
12677a3149280
132c9ac5b6050
1415c6d0ad53a
15aa574b5419
hex5fb1847e40

411000143424 has 112 divisors (see below), whose sum is σ = 1232723244480. Its totient is φ = 119805696000.

The previous prime is 411000143377. The next prime is 411000143429. The reversal of 411000143424 is 424341000114.

It is a super-2 number, since 2×4110001434242 (a number of 24 digits) contains 22 as substring.

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 = 411000143394 and 411000143403.

It is not an unprimeable number, because it can be changed into a prime (411000143429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4285827 + ... + 4380674.

It is an arithmetic number, because the mean of its divisors is an integer number (11006457540).

Almost surely, 2411000143424 is an apocalyptic number.

It is an amenable number.

411000143424 is an abundant number, since it is smaller than the sum of its proper divisors (821723101056).

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

411000143424 is a wasteful number, since it uses less digits than its factorization.

411000143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666548 (or 8666538 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 411000143424 its reverse (424341000114), we get a palindrome (835341143538).

The spelling of 411000143424 in words is "four hundred eleven billion, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 23712 47424 8666501 17333002 25999503 34666004 51999006 69332008 103998012 112664513 138664016 164663519 207996024 225329026 277328032 329327038 337993539 415992048 450658052 493990557 554656064 658654076 675987078 831984096 901316104 987981114 1317308152 1351974156 1663968192 1802632208 1975962228 2140625747 2634616304 2703948312 3605264416 3951924456 4281251494 5269232608 5407896624 6421877241 7210528832 7903848912 8562502988 10538465216 10815793248 12843754482 15807697824 17125005976 21631586496 25687508964 31615395648 34250011952 51375017928 68500023904 102750035856 137000047808 205500071712 411000143424