Search a number
-
+
442400040024 = 23367275124403
BaseRepresentation
bin1100111000000010001…
…10001110010001011000
31120021220121201120110120
412130001012032101120
524222013402240044
6535122532113240
743651041203025
oct6340106162130
91507817646416
10442400040024
1116069131aa98
12718a6a65820
13329449c1817
14175ab40054c
15b793e63519
hex670118e458

442400040024 has 32 divisors (see below), whose sum is σ = 1122507568320. Its totient is φ = 145265684256.

The previous prime is 442400040011. The next prime is 442400040041. The reversal of 442400040024 is 420040004244.

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 = 442400039976 and 442400040003.

It is a congruent number.

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, 137560594 + ... + 137563809.

It is an arithmetic number, because the mean of its divisors is an integer number (35078361510).

Almost surely, 2442400040024 is an apocalyptic number.

It is an amenable number.

442400040024 is an abundant number, since it is smaller than the sum of its proper divisors (680107528296).

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

442400040024 is a wasteful number, since it uses less digits than its factorization.

442400040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275124479 (or 275124475 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 442400040024 its reverse (420040004244), we get a palindrome (862440044268).

The spelling of 442400040024 in words is "four hundred forty-two billion, four hundred million, forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 275124403 550248806 825373209 1100497612 1650746418 2200995224 3301492836 6602985672 18433335001 36866670002 55300005003 73733340004 110600010006 147466680008 221200020012 442400040024