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1444102000 = 245311411601
BaseRepresentation
bin101011000010011…
…0011111101110000
310201122022222112021
41112010303331300
510424142231000
6355144041224
750533443625
oct12604637560
93648288467
101444102000
11681181230
12343763214
131a0250433
14d9b1234c
1586ba711a
hex56133f70

1444102000 has 160 divisors (see below), whose sum is σ = 3904625088. Its totient is φ = 512000000.

The previous prime is 1444101979. The next prime is 1444102001. The reversal of 1444102000 is 2014441.

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 (1444102001) 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, 901200 + ... + 902800.

Almost surely, 21444102000 is an apocalyptic number.

1444102000 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 1444102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952312544).

1444102000 is an abundant number, since it is smaller than the sum of its proper divisors (2460523088).

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

1444102000 is a wasteful number, since it uses less digits than its factorization.

1444102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1660 counting only the distinct ones).

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

The square root of 1444102000 is about 38001.3420815634. The cubic root of 1444102000 is about 1130.3144763916.

Adding to 1444102000 its reverse (2014441), we get a palindrome (1446116441).

The spelling of 1444102000 in words is "one billion, four hundred forty-four million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 125 164 176 200 205 220 250 275 328 400 410 440 451 500 550 656 820 880 902 1000 1025 1100 1375 1601 1640 1804 2000 2050 2200 2255 2750 3202 3280 3608 4100 4400 4510 5125 5500 6404 7216 8005 8200 9020 10250 11000 11275 12808 16010 16400 17611 18040 20500 22000 22550 25616 32020 35222 36080 40025 41000 45100 56375 64040 65641 70444 80050 82000 88055 90200 112750 128080 131282 140888 160100 176110 180400 200125 225500 262564 281776 320200 328205 352220 400250 440275 451000 525128 640400 656410 704440 722051 800500 880550 902000 1050256 1312820 1408880 1444102 1601000 1641025 1761100 2201375 2625640 2888204 3202000 3282050 3522200 3610255 4402750 5251280 5776408 6564100 7044400 7220510 8205125 8805500 11552816 13128200 14441020 16410250 17611000 18051275 26256400 28882040 32820500 35222000 36102550 57764080 65641000 72205100 90256375 131282000 144410200 180512750 288820400 361025500 722051000 1444102000