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440242314030 = 23356192634131
BaseRepresentation
bin1100110100000000111…
…11001001101100101110
31120002100020120201212000
412122000133021230232
524203104013022110
6534124452353130
743543420632501
oct6320037115456
91502306521760
10440242314030
1115a784344572
12713a43157a6
133268c971a8c
1417444a09138
15b6b97e71c0
hex66807c9b2e

440242314030 has 64 divisors (see below), whose sum is σ = 1175876524800. Its totient is φ = 117208248480.

The previous prime is 440242313999. The next prime is 440242314049. The reversal of 440242314030 is 30413242044.

It is a happy number.

440242314030 is a `hidden beast` number, since 4 + 4 + 0 + 24 + 231 + 403 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 440242313985 and 440242314003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149936 + ... + 1484195.

It is an arithmetic number, because the mean of its divisors is an integer number (18373070700).

Almost surely, 2440242314030 is an apocalyptic number.

440242314030 is an abundant number, since it is smaller than the sum of its proper divisors (735634210770).

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

440242314030 is a wasteful number, since it uses less digits than its factorization.

440242314030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634766 (or 2634760 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 440242314030 its reverse (30413242044), we get a palindrome (470655556074).

The spelling of 440242314030 in words is "four hundred forty billion, two hundred forty-two million, three hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 619 1238 1857 3095 3714 5571 6190 9285 11142 16713 18570 27855 33426 55710 83565 167130 2634131 5268262 7902393 13170655 15804786 23707179 26341310 39511965 47414358 71121537 79023930 118535895 142243074 237071790 355607685 711215370 1630527089 3261054178 4891581267 8152635445 9783162534 14674743801 16305270890 24457906335 29349487602 44024231403 48915812670 73373719005 88048462806 146747438010 220121157015 440242314030