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2144311000 = 235313281587
BaseRepresentation
bin111111111001111…
…1001011011011000
312112102220021200221
41333303321123120
513342420423000
6552440005424
7104065225366
oct17763713330
95472807627
102144311000
11a00453657
124ba160874
132823339a0
14164b02636
15c83bb61a
hex7fcf96d8

2144311000 has 128 divisors (see below), whose sum is σ = 5432132160. Its totient is φ = 787584000.

The previous prime is 2144310977. The next prime is 2144311007. The reversal of 2144311000 is 1134412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144311007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3652707 + ... + 3653293.

Almost surely, 22144311000 is an apocalyptic number.

2144311000 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 2144311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716066080).

2144311000 is an abundant number, since it is smaller than the sum of its proper divisors (3287821160).

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

2144311000 is a wasteful number, since it uses less digits than its factorization.

2144311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2144311000 is about 46306.7057778892. The cubic root of 2144311000 is about 1289.5234904514.

Adding to 2144311000 its reverse (1134412), we get a palindrome (2145445412).

The spelling of 2144311000 in words is "two billion, one hundred forty-four million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 281 325 500 520 562 587 650 1000 1124 1174 1300 1405 1625 2248 2348 2600 2810 2935 3250 3653 4696 5620 5870 6500 7025 7306 7631 11240 11740 13000 14050 14612 14675 15262 18265 23480 28100 29224 29350 30524 35125 36530 38155 56200 58700 61048 70250 73060 73375 76310 91325 117400 140500 146120 146750 152620 164947 182650 190775 281000 293500 305240 329894 365300 381550 456625 587000 659788 730600 763100 824735 913250 953875 1319576 1526200 1649470 1826500 1907750 2144311 3298940 3653000 3815500 4123675 4288622 6597880 7631000 8247350 8577244 10721555 16494700 17154488 20618375 21443110 32989400 41236750 42886220 53607775 82473500 85772440 107215550 164947000 214431100 268038875 428862200 536077750 1072155500 2144311000