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1440114140000 = 2554359200573
BaseRepresentation
bin10100111101001101011…
…111011110001101100000
312002200012000211020121202
4110331031133132031200
5142043323204440000
63021325043540332
7206021241134354
oct24751537361540
95080160736552
101440114140000
11505826985408
121b312b38a6a8
13a5a57510ca3
144d9b8009464
15276d9b90dd5
hex14f4d7de360

1440114140000 has 120 divisors (see below), whose sum is σ = 3552783307920. Its totient is φ = 574438208000.

The previous prime is 1440114139987. The next prime is 1440114140051. The reversal of 1440114140000 is 414110441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7079714 + ... + 7280286.

It is an arithmetic number, because the mean of its divisors is an integer number (29606527566).

Almost surely, 21440114140000 is an apocalyptic number.

1440114140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440114140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776391653960).

1440114140000 is an abundant number, since it is smaller than the sum of its proper divisors (2112669167920).

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

1440114140000 is an equidigital number, since it uses as much as digits as its factorization.

1440114140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200962 (or 200939 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1440114140000 its reverse (414110441), we get a palindrome (1440528250441).

The spelling of 1440114140000 in words is "one trillion, four hundred forty billion, one hundred fourteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 359 400 500 625 718 800 1000 1250 1436 1795 2000 2500 2872 3590 4000 5000 5744 7180 8975 10000 11488 14360 17950 20000 28720 35900 44875 57440 71800 89750 143600 179500 200573 224375 287200 359000 401146 448750 718000 802292 897500 1002865 1436000 1604584 1795000 2005730 3209168 3590000 4011460 5014325 6418336 7180000 8022920 10028650 16045840 20057300 25071625 32091680 40114600 50143250 72005707 80229200 100286500 125358125 144011414 160458400 200573000 250716250 288022828 360028535 401146000 501432500 576045656 720057070 802292000 1002865000 1152091312 1440114140 1800142675 2005730000 2304182624 2880228280 3600285350 4011460000 5760456560 7200570700 9000713375 11520913120 14401141400 18001426750 28802282800 36002853500 45003566875 57604565600 72005707000 90007133750 144011414000 180014267500 288022828000 360028535000 720057070000 1440114140000