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440242313130 = 232540126714567
BaseRepresentation
bin1100110100000000111…
…11001001011110101010
31120002100020120200121200
412122000133021132222
524203104013010010
6534124452345030
743543420630044
oct6320037113652
91502306520550
10440242313130
1115a784343924
12713a4315176
133268c971549
1417444a08a94
15b6b97e6cc0
hex66807c97aa

440242313130 has 96 divisors (see below), whose sum is σ = 1148165411328. Its totient is φ = 117035712000.

The previous prime is 440242313129. The next prime is 440242313149. The reversal of 440242313130 is 31313242044.

It is a junction number, because it is equal to n+sod(n) for n = 440242313094 and 440242313103.

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 47 ways as a sum of consecutive naturals, for example, 96394107 + ... + 96398673.

It is an arithmetic number, because the mean of its divisors is an integer number (11960056368).

Almost surely, 2440242313130 is an apocalyptic number.

440242313130 is an abundant number, since it is smaller than the sum of its proper divisors (707923098198).

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

440242313130 is a wasteful number, since it uses less digits than its factorization.

440242313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 440242313130 its reverse (31313242044), we get a palindrome (471555555174).

The spelling of 440242313130 in words is "four hundred forty billion, two hundred forty-two million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 401 802 1203 2005 2406 2671 3609 4010 4567 5342 6015 7218 8013 9134 12030 13355 13701 16026 18045 22835 24039 26710 27402 36090 40065 41103 45670 48078 68505 80130 82206 120195 137010 205515 240390 411030 1071071 1831367 2142142 3213213 3662734 5355355 5494101 6426426 9156835 9639639 10710710 10988202 12198457 16066065 16482303 18313670 19279278 24396914 27470505 32132130 32964606 36595371 48198195 54941010 60992285 73190742 82411515 96396390 109786113 121984570 164823030 182976855 219572226 365953710 548930565 1097861130 4891581257 9783162514 14674743771 24457906285 29349487542 44024231313 48915812570 73373718855 88048462626 146747437710 220121156565 440242313130