Search a number
-
+
1443142440 = 233355572399
BaseRepresentation
bin101011000000100…
…1001101100101000
310201120112020021000
41112001021230220
510423421024230
6355111315000
750522336235
oct12601115450
93646466230
101443142440
11680686303
1234337ba60
1319cca574c
14d994278c
1586a67b60
hex56049b28

1443142440 has 128 divisors (see below), whose sum is σ = 4821120000. Its totient is φ = 383986944.

The previous prime is 1443142433. The next prime is 1443142447. The reversal of 1443142440 is 442413441.

It is an interprime number because it is at equal distance from previous prime (1443142433) and next prime (1443142447).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1443142447) 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, 600361 + ... + 602759.

It is an arithmetic number, because the mean of its divisors is an integer number (37665000).

Almost surely, 21443142440 is an apocalyptic number.

1443142440 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 1443142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560000).

1443142440 is an abundant number, since it is smaller than the sum of its proper divisors (3377977560).

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

1443142440 is a wasteful number, since it uses less digits than its factorization.

1443142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1443142440 is about 37988.7146400086. The cubic root of 1443142440 is about 1130.0640682081.

Adding to 1443142440 its reverse (442413441), we get a palindrome (1885555881).

The spelling of 1443142440 in words is "one billion, four hundred forty-three million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 557 1080 1114 1671 2228 2399 2785 3342 4456 4798 5013 5570 6684 7197 8355 9596 10026 11140 11995 13368 14394 15039 16710 19192 20052 21591 22280 23990 25065 28788 30078 33420 35985 40104 43182 47980 50130 57576 60156 64773 66840 71970 75195 86364 95960 100260 107955 120312 129546 143940 150390 172728 200520 215910 259092 287880 300780 323865 431820 518184 601560 647730 863640 1295460 1336243 2590920 2672486 4008729 5344972 6681215 8017458 10689944 12026187 13362430 16034916 20043645 24052374 26724860 32069832 36078561 40087290 48104748 53449720 60130935 72157122 80174580 96209496 120261870 144314244 160349160 180392805 240523740 288628488 360785610 481047480 721571220 1443142440