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42241014224 = 2443197311659
BaseRepresentation
bin100111010101110000…
…101011100111010000
311001000211220212002022
4213111300223213100
51143002144423344
631223311311012
73023525460653
oct472560534720
9131024825068
1042241014224
1116a06a51212
12822a51b468
133ca2444296
14208a08389a
1511736060ee
hex9d5c2b9d0

42241014224 has 40 divisors (see below), whose sum is σ = 84170639520. Its totient is φ = 20524549248.

The previous prime is 42241014217. The next prime is 42241014229.

It is a happy number.

42241014224 is nontrivially palindromic in base 10.

42241014224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42241014193 and 42241014202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241014229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20294 + ... + 291365.

It is an arithmetic number, because the mean of its divisors is an integer number (2104265988).

Almost surely, 242241014224 is an apocalyptic number.

It is an amenable number.

42241014224 is a deficient number, since it is larger than the sum of its proper divisors (41929625296).

42241014224 is a wasteful number, since it uses less digits than its factorization.

42241014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311907 (or 311901 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 422410 and 14224, that added together give a palindrome (436634).

The spelling of 42241014224 in words is "forty-two billion, two hundred forty-one million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 43 86 172 197 344 394 688 788 1576 3152 8471 16942 33884 67768 135536 311659 623318 1246636 2493272 4986544 13401337 26802674 53605348 61396823 107210696 122793646 214421392 245587292 491174584 982349168 2640063389 5280126778 10560253556 21120507112 42241014224