Search a number
-
+
42224242244004 = 2234130321735321
BaseRepresentation
bin10011001100111000110001…
…11101011011100110100100
312112111121011001010010210000
421212130120331123212210
521013300222003302004
6225445314334501300
711615413041136032
oct1146343075334644
9175447131103700
1042224242244004
11124aa222a65857
12489b411364830
131a739626a2682
14a5d942903552
154d3539560c39
hex266718f5b9a4

42224242244004 has 30 divisors (see below), whose sum is σ = 110382509817734. Its totient is φ = 14074747414560.

The previous prime is 42224242243949. The next prime is 42224242244033. The reversal of 42224242244004 is 40044224242224.

42224242244004 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 4 + 24 + 224 + 400 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35373469953600 + 6850772290404 = 5947560^2 + 2617398^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42224242244004.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65160867337 + ... + 65160867984.

Almost surely, 242224242244004 is an apocalyptic number.

It is an amenable number.

42224242244004 is an abundant number, since it is smaller than the sum of its proper divisors (68158267573730).

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

42224242244004 is a wasteful number, since it uses less digits than its factorization.

42224242244004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130321735337 (or 130321735326 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 42224242244004 its reverse (40044224242224), we get a palindrome (82268466486228).

The spelling of 42224242244004 in words is "forty-two trillion, two hundred twenty-four billion, two hundred forty-two million, two hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 130321735321 260643470642 390965205963 521286941284 781930411926 1172895617889 1563860823852 2345791235778 3518686853667 4691582471556 7037373707334 10556060561001 14074747414668 21112121122002 42224242244004