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1444302131120 = 24528976231887
BaseRepresentation
bin10101000001000111000…
…111011000111110110000
312010001222220021020101222
4111001013013120332300
5142130412321143440
63023300411044212
7206230103361122
oct25010707307660
95101886236358
101444302131120
1150758599a0a2
121b3ab9a40668
13a6274073944
144dc942d7212
152788269c2b5
hex150471d8fb0

1444302131120 has 40 divisors (see below), whose sum is σ = 3359162124864. Its totient is φ = 577521339392.

The previous prime is 1444302131099. The next prime is 1444302131131. The reversal of 1444302131120 is 211312034441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1444302131120.

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 7 ways as a sum of consecutive naturals, for example, 2884184 + ... + 3347703.

Almost surely, 21444302131120 is an apocalyptic number.

1444302131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444302131120 is an abundant number, since it is smaller than the sum of its proper divisors (1914859993744).

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

1444302131120 is a wasteful number, since it uses less digits than its factorization.

1444302131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234797 (or 6234791 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1444302131120 its reverse (211312034441), we get a palindrome (1655614165561).

The spelling of 1444302131120 in words is "one trillion, four hundred forty-four billion, three hundred two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2897 5794 11588 14485 23176 28970 46352 57940 115880 231760 6231887 12463774 24927548 31159435 49855096 62318870 99710192 124637740 249275480 498550960 18053776639 36107553278 72215106556 90268883195 144430213112 180537766390 288860426224 361075532780 722151065560 1444302131120