[go: up one dir, main page]

Search a number
-
+
1442237640 = 233561732699
BaseRepresentation
bin101010111110110…
…1100110011001000
310201111211021002220
41111331230303020
510423203101030
6355040054040
750511550314
oct12575546310
93644737086
101442237640
11680118538
12343004320
1319ca4996c
14d9788b44
1586939a10
hex55f6ccc8

1442237640 has 128 divisors (see below), whose sum is σ = 4459536000. Its totient is φ = 372971520.

The previous prime is 1442237633. The next prime is 1442237659. The reversal of 1442237640 is 467322441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533011 + ... + 535709.

It is an arithmetic number, because the mean of its divisors is an integer number (34840125).

Almost surely, 21442237640 is an apocalyptic number.

1442237640 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 1442237640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229768000).

1442237640 is an abundant number, since it is smaller than the sum of its proper divisors (3017298360).

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

1442237640 is a wasteful number, since it uses less digits than its factorization.

1442237640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 1442237640 is about 37976.8039729517. The cubic root of 1442237640 is about 1129.8278485756.

The spelling of 1442237640 in words is "one billion, four hundred forty-two million, two hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 73 120 122 146 183 219 244 292 305 365 366 438 488 584 610 730 732 876 915 1095 1220 1460 1464 1752 1830 2190 2440 2699 2920 3660 4380 4453 5398 7320 8097 8760 8906 10796 13359 13495 16194 17812 21592 22265 26718 26990 32388 35624 40485 44530 53436 53980 64776 66795 80970 89060 106872 107960 133590 161940 164639 178120 197027 267180 323880 329278 394054 493917 534360 591081 658556 788108 823195 985135 987834 1182162 1317112 1576216 1646390 1970270 1975668 2364324 2469585 2955405 3292780 3940540 3951336 4728648 4939170 5910810 6585560 7881080 9878340 11821620 12018647 19756680 23643240 24037294 36055941 48074588 60093235 72111882 96149176 120186470 144223764 180279705 240372940 288447528 360559410 480745880 721118820 1442237640