Search a number
-
+
42442002040224 = 2533375713096667
BaseRepresentation
bin10011010011001110011000…
…11101001000010110100000
312120021102020002120221122210
421221213030131020112200
521030332210010241344
6230133330411002120
711640222242643423
oct1151471435102640
9176242202527583
1042442002040224
1112583608766796
124915664739340
131a8b35722c5b7
14a6a2bd5659ba
154d9031c41db9
hex2699cc7485a0

42442002040224 has 48 divisors (see below), whose sum is σ = 111413564222688. Its totient is φ = 14146913839872.

The previous prime is 42442002040153. The next prime is 42442002040237. The reversal of 42442002040224 is 42204020024424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 42442002040191 and 42442002040200.

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, 3307662 + ... + 9789005.

It is an arithmetic number, because the mean of its divisors is an integer number (2321115921306).

Almost surely, 242442002040224 is an apocalyptic number.

It is an amenable number.

42442002040224 is an abundant number, since it is smaller than the sum of its proper divisors (68971562182464).

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

42442002040224 is a wasteful number, since it uses less digits than its factorization.

42442002040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130437 (or 13130429 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42442002040224 its reverse (42204020024424), we get a palindrome (84646022064648).

The spelling of 42442002040224 in words is "forty-two trillion, four hundred forty-two billion, two million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 33757 67514 101271 135028 202542 270056 405084 540112 810168 1080224 1620336 3240672 13096667 26193334 39290001 52386668 78580002 104773336 157160004 209546672 314320008 419093344 628640016 1257280032 442104187919 884208375838 1326312563757 1768416751676 2652625127514 3536833503352 5305250255028 7073667006704 10610500510056 14147334013408 21221001020112 42442002040224