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1441242320 = 245717151391
BaseRepresentation
bin101010111100111…
…1001110011010000
310201102221200210012
41111321321303100
510422424223240
6355002454052
750500233440
oct12571716320
93642850705
101441242320
1167a5a8761
12342804328
1319c78b90b
14d95aa120
15867deb65
hex55e79cd0

1441242320 has 80 divisors (see below), whose sum is σ = 4054883328. Its totient is φ = 465070080.

The previous prime is 1441242317. The next prime is 1441242323. The reversal of 1441242320 is 232421441.

It is an interprime number because it is at equal distance from previous prime (1441242317) and next prime (1441242323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441242323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66176 + ... + 85215.

Almost surely, 21441242320 is an apocalyptic number.

1441242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441242320 is an abundant number, since it is smaller than the sum of its proper divisors (2613641008).

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

1441242320 is a wasteful number, since it uses less digits than its factorization.

1441242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151428 (or 151422 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1441242320 is about 37963.6973963285. The cubic root of 1441242320 is about 1129.5678823925.

Adding to 1441242320 its reverse (232421441), we get a palindrome (1673663761).

The spelling of 1441242320 in words is "one billion, four hundred forty-one million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 151391 302782 605564 756955 1059737 1211128 1513910 2119474 2422256 2573647 3027820 4238948 5147294 5298685 6055640 8477896 10294588 10597370 12111280 12868235 16955792 18015529 20589176 21194740 25736470 36031058 41178352 42389480 51472940 72062116 84778960 90077645 102945880 144124232 180155290 205891760 288248464 360310580 720621160 1441242320