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441042000520 = 235117313731071
BaseRepresentation
bin1100110101100000010…
…01101101101010001000
31120011101222100000111011
412122300021231222020
524211223223004040
6534340100413304
743602301102132
oct6326011555210
91504358300434
10441042000520
111600547908a0
12715880a7234
1332789545054
14174bccd2052
15b714b0b3ea
hex66b026da88

441042000520 has 64 divisors (see below), whose sum is σ = 1097387274240. Its totient is φ = 158181926400.

The previous prime is 441042000463. The next prime is 441042000523. The reversal of 441042000520 is 25000240144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 441042000491 and 441042000500.

It is not an unprimeable number, because it can be changed into a prime (441042000523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6833416 + ... + 6897655.

It is an arithmetic number, because the mean of its divisors is an integer number (17146676160).

Almost surely, 2441042000520 is an apocalyptic number.

441042000520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441042000520 is an abundant number, since it is smaller than the sum of its proper divisors (656345273720).

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

441042000520 is a wasteful number, since it uses less digits than its factorization.

441042000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731166 (or 13731162 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 441042000520 its reverse (25000240144), we get a palindrome (466042240664).

The spelling of 441042000520 in words is "four hundred forty-one billion, forty-two million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 8030 16060 32120 13731071 27462142 54924284 68655355 109848568 137310710 151041781 274621420 302083562 549242840 604167124 755208905 1002368183 1208334248 1510417810 2004736366 3020835620 4009472732 5011840915 6041671240 8018945464 10023681830 11026050013 20047363660 22052100026 40094727320 44104200052 55130250065 88208400104 110260500130 220521000260 441042000520