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1444000068140 = 225719391531911
BaseRepresentation
bin10101000000110101000…
…111000111001000101100
312010001012211212211220012
4111000311013013020230
5142124303004140030
63023210420512352
7206216445030050
oct25006507071054
95101184784805
101444000068140
11507440436773
121b3a3484b6b8
13a6226602b56
144dc66147c60
1527865dd2095
hex150351c722c

1444000068140 has 48 divisors (see below), whose sum is σ = 3465785401344. Its totient is φ = 495059275200.

The previous prime is 1444000068139. The next prime is 1444000068167. The reversal of 1444000068140 is 418600004441.

It is a junction number, because it is equal to n+sod(n) for n = 1444000068097 and 1444000068106.

It is an unprimeable number.

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, 2448785 + ... + 2980695.

It is an arithmetic number, because the mean of its divisors is an integer number (72203862528).

Almost surely, 21444000068140 is an apocalyptic number.

1444000068140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444000068140 is an abundant number, since it is smaller than the sum of its proper divisors (2021785333204).

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

1444000068140 is a wasteful number, since it uses less digits than its factorization.

1444000068140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551318 (or 551316 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 1444000068140 in words is "one trillion, four hundred forty-four billion, sixty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 19391 38782 77564 96955 135737 193910 271474 387820 531911 542948 678685 1063822 1357370 2127644 2659555 2714740 3723377 5319110 7446754 10638220 14893508 18616885 37233770 74467540 10314286201 20628572402 41257144804 51571431005 72200003407 103142862010 144400006814 206285724020 288800013628 361000017035 722000034070 1444000068140