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144424314440 = 23572631961221
BaseRepresentation
bin1000011010000001011…
…1000010011001001000
3111210210011211100011222
42012200113002121020
54331240111030230
6150203030141212
713301653263140
oct2064027023110
9453704740158
10144424314440
115628284005a
1223ba74b1808
1310808389133
146dc1075920
153b5435e6e5
hex21a05c2648

144424314440 has 64 divisors (see below), whose sum is σ = 372789077760. Its totient is φ = 49328605440.

The previous prime is 144424314439. The next prime is 144424314479. The reversal of 144424314440 is 44413424441.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 144424314440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906971 + ... + 1054250.

It is an arithmetic number, because the mean of its divisors is an integer number (5824829340).

Almost surely, 2144424314440 is an apocalyptic number.

144424314440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144424314440 is an abundant number, since it is smaller than the sum of its proper divisors (228364763320).

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

144424314440 is a wasteful number, since it uses less digits than its factorization.

144424314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961502 (or 1961498 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 144424314440 its reverse (44413424441), we get a palindrome (188837738881).

The spelling of 144424314440 in words is "one hundred forty-four billion, four hundred twenty-four million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 263 280 526 1052 1315 1841 2104 2630 3682 5260 7364 9205 10520 14728 18410 36820 73640 1961221 3922442 7844884 9806105 13728547 15689768 19612210 27457094 39224420 54914188 68642735 78448840 109828376 137285470 274570940 515801123 549141880 1031602246 2063204492 2579005615 3610607861 4126408984 5158011230 7221215722 10316022460 14442431444 18053039305 20632044920 28884862888 36106078610 72212157220 144424314440