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1444040000424 = 2332711325355387
BaseRepresentation
bin10101000000110111011…
…111011100001110101000
312010001022122000121200200
4111000313133130032220
5142124343220003144
63023214404432200
7206220441323520
oct25006737341650
95101278017620
101444040000424
11507460a3045a
121b3a460a8660
13a6231974918
144dc6b580680
152786966dc69
hex150377dc3a8

1444040000424 has 96 divisors (see below), whose sum is σ = 4509202201920. Its totient is φ = 408931665408.

The previous prime is 1444040000393. The next prime is 1444040000471. The reversal of 1444040000424 is 4240000404441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12620742 + ... + 12734645.

It is an arithmetic number, because the mean of its divisors is an integer number (46970856270).

Almost surely, 21444040000424 is an apocalyptic number.

1444040000424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1444040000424 is an abundant number, since it is smaller than the sum of its proper divisors (3065162201496).

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

1444040000424 is a wasteful number, since it uses less digits than its factorization.

1444040000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25355519 (or 25355512 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 1444040000424 its reverse (4240000404441), we get a palindrome (5684040404865).

The spelling of 1444040000424 in words is "one trillion, four hundred forty-four billion, forty million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1017 1356 1582 2034 2373 2712 3164 4068 4746 6328 7119 8136 9492 14238 18984 28476 56952 25355387 50710774 76066161 101421548 152132322 177487709 202843096 228198483 304264644 354975418 456396966 532463127 608529288 709950836 912793932 1064926254 1419901672 1597389381 1825587864 2129852508 2865158731 3194778762 4259705016 5730317462 6389557524 8595476193 11460634924 12779115048 17190952386 20056111117 22921269848 25786428579 34381904772 40112222234 51572857158 60168333351 68763809544 80224444468 103145714316 120336666702 160448888936 180505000053 206291428632 240673333404 361010000106 481346666808 722020000212 1444040000424