Search a number
-
+
1442043240 = 2335116431699
BaseRepresentation
bin101010111110011…
…1101010101101000
310201111110101102220
41111330331111220
510423130340430
6355031554040
750510110461
oct12574752550
93644411386
101442043240
1167aaa5480
12342b2b920
1319c9ac331
14d9737d68
15868ec110
hex55f3d568

1442043240 has 128 divisors (see below), whose sum is σ = 4729536000. Its totient is φ = 348837120.

The previous prime is 1442043203. The next prime is 1442043257. The reversal of 1442043240 is 423402441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1442043240.

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, 847911 + ... + 849609.

It is an arithmetic number, because the mean of its divisors is an integer number (36949500).

Almost surely, 21442043240 is an apocalyptic number.

1442043240 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 1442043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364768000).

1442043240 is an abundant number, since it is smaller than the sum of its proper divisors (3287492760).

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

1442043240 is a wasteful number, since it uses less digits than its factorization.

1442043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1442043240 is about 37974.2444296131. The cubic root of 1442043240 is about 1129.7770829235. Note that the first 3 decimals are identical.

Adding to 1442043240 its reverse (423402441), we get a palindrome (1865445681).

The spelling of 1442043240 in words is "one billion, four hundred forty-two million, forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 643 660 1286 1320 1699 1929 2572 3215 3398 3858 5097 5144 6430 6796 7073 7716 8495 9645 10194 12860 13592 14146 15432 16990 18689 19290 20388 21219 25485 25720 28292 33980 35365 37378 38580 40776 42438 50970 56067 56584 67960 70730 74756 77160 84876 93445 101940 106095 112134 141460 149512 169752 186890 203880 212190 224268 280335 282920 373780 424380 448536 560670 747560 848760 1092457 1121340 2184914 2242680 3277371 4369828 5462285 6554742 8739656 10924570 12017027 13109484 16386855 21849140 24034054 26218968 32773710 36051081 43698280 48068108 60085135 65547420 72102162 96136216 120170270 131094840 144204324 180255405 240340540 288408648 360510810 480681080 721021620 1442043240