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2144140000 = 2554472281
BaseRepresentation
bin111111111001100…
…1111101011100000
312112102120121010121
41333303033223200
513342344440000
6552432210024
7104063614012
oct17763175340
95472517117
102144140000
11a00347132
124ba099914
132822a3bc2
14164a9a1b2
15c8385b1a
hex7fccfae0

2144140000 has 120 divisors (see below), whose sum is σ = 5389499808. Its totient is φ = 839040000.

The previous prime is 2144139997. The next prime is 2144140007. The reversal of 2144140000 is 414412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144140007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 938860 + ... + 941140.

Almost surely, 22144140000 is an apocalyptic number.

2144140000 is a gapful number since it is divisible by the number (20) 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 2144140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694749904).

2144140000 is an abundant number, since it is smaller than the sum of its proper divisors (3245359808).

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

2144140000 is an equidigital number, since it uses as much as digits as its factorization.

2144140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2144140000 is about 46304.8593562274. The cubic root of 2144140000 is about 1289.4892114719.

Adding to 2144140000 its reverse (414412), we get a palindrome (2144554412).

The spelling of 2144140000 in words is "two billion, one hundred forty-four million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2281 2350 2500 3760 4000 4562 4700 5000 5875 7520 9124 9400 10000 11405 11750 18248 18800 20000 22810 23500 29375 36496 37600 45620 47000 57025 58750 72992 91240 94000 107207 114050 117500 182480 188000 214414 228100 235000 285125 364960 428828 456200 470000 536035 570250 857656 912400 940000 1072070 1140500 1425625 1715312 1824800 2144140 2281000 2680175 2851250 3430624 4288280 4562000 5360350 5702500 8576560 9124000 10720700 11405000 13400875 17153120 21441400 22810000 26801750 42882800 45620000 53603500 67004375 85765600 107207000 134008750 214414000 268017500 428828000 536035000 1072070000 2144140000