Search a number
-
+
1442023000 = 235311337389
BaseRepresentation
bin101010111110011…
…1000011001011000
310201111102100200021
41111330320121120
510423124214000
6355031320224
750506664455
oct12574703130
93644370607
101442023000
1167aa91250
12342b20074
1319c9a3062
14d973082c
15868e611a
hex55f38658

1442023000 has 128 divisors (see below), whose sum is σ = 3701505600. Its totient is φ = 521472000.

The previous prime is 1442022983. The next prime is 1442023067. The reversal of 1442023000 is 3202441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3706806 + ... + 3707194.

Almost surely, 21442023000 is an apocalyptic number.

1442023000 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 1442023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850752800).

1442023000 is an abundant number, since it is smaller than the sum of its proper divisors (2259482600).

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

1442023000 is a wasteful number, since it uses less digits than its factorization.

1442023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1442023000 is about 37973.9779322630. The cubic root of 1442023000 is about 1129.7717971839.

Adding to 1442023000 its reverse (3202441), we get a palindrome (1445225441).

The spelling of 1442023000 in words is "one billion, four hundred forty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 337 389 440 500 550 674 778 1000 1100 1348 1375 1556 1685 1945 2200 2696 2750 3112 3370 3707 3890 4279 5500 6740 7414 7780 8425 8558 9725 11000 13480 14828 15560 16850 17116 18535 19450 21395 29656 33700 34232 37070 38900 42125 42790 48625 67400 74140 77800 84250 85580 92675 97250 106975 131093 148280 168500 171160 185350 194500 213950 262186 337000 370700 389000 427900 463375 524372 534875 655465 741400 855800 926750 1048744 1069750 1310930 1442023 1853500 2139500 2621860 2884046 3277325 3707000 4279000 5243720 5768092 6554650 7210115 11536184 13109300 14420230 16386625 26218600 28840460 32773250 36050575 57680920 65546500 72101150 131093000 144202300 180252875 288404600 360505750 721011500 1442023000