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1444224264140 = 2257371012760473
BaseRepresentation
bin10101000001000010011…
…110010110011111001100
312010001210110202011222202
4111001002132112133030
5142130232402423030
63023244550101032
7206225136460520
oct25010236263714
95101713664882
101444224264140
11507545a45519
121b3a9794a778
13a6260bac3c8
144dc87c27d80
152787a91a745
hex150427967cc

1444224264140 has 96 divisors (see below), whose sum is σ = 3595064667264. Its totient is φ = 477009561600.

The previous prime is 1444224264127. The next prime is 1444224264157. The reversal of 1444224264140 is 414624224441.

It is a junction number, because it is equal to n+sod(n) for n = 1444224264094 and 1444224264103.

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 31 ways as a sum of consecutive naturals, for example, 857057 + ... + 1903416.

It is an arithmetic number, because the mean of its divisors is an integer number (37448590284).

Almost surely, 21444224264140 is an apocalyptic number.

1444224264140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444224264140 is an abundant number, since it is smaller than the sum of its proper divisors (2150840403124).

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

1444224264140 is a wasteful number, since it uses less digits than its factorization.

1444224264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760627 (or 2760625 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

Adding to 1444224264140 its reverse (414624224441), we get a palindrome (1858848488581).

The spelling of 1444224264140 in words is "one trillion, four hundred forty-four billion, two hundred twenty-four million, two hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 101 140 148 185 202 259 370 404 505 518 707 740 1010 1036 1295 1414 2020 2590 2828 3535 3737 5180 7070 7474 14140 14948 18685 26159 37370 52318 74740 104636 130795 261590 523180 2760473 5520946 11041892 13802365 19323311 27604730 38646622 55209460 77293244 96616555 102137501 193233110 204275002 278807773 386466220 408550004 510687505 557615546 714962507 1021375010 1115231092 1394038865 1429925014 1951654411 2042750020 2788077730 2859850028 3574812535 3903308822 5576155460 7149625070 7806617644 9758272055 10315887601 14299250140 19516544110 20631775202 39033088220 41263550404 51579438005 72211213207 103158876010 144422426414 206317752020 288844852828 361056066035 722112132070 1444224264140