Search a number
-
+
1144441546420 = 225718910189659
BaseRepresentation
bin10000101001110110000…
…010000010011010110100
311001102000002200020111111
4100221312002002122310
5122222304013441140
62233425454044404
7145453220432164
oct20516602023264
94042002606444
101144441546420
1140139a465657
121659731a9704
1383bc70a91c3
143d5698c65a4
151eb8237b7ea
hex10a760826b4

1144441546420 has 96 divisors (see below), whose sum is σ = 2488990291200. Its totient is φ = 441834624000.

The previous prime is 1144441546309. The next prime is 1144441546421. The reversal of 1144441546420 is 246451444411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144441546421) 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, 12719551 + ... + 12809209.

It is an arithmetic number, because the mean of its divisors is an integer number (25926982200).

Almost surely, 21144441546420 is an apocalyptic number.

1144441546420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144441546420 is an abundant number, since it is smaller than the sum of its proper divisors (1344548744780).

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

1144441546420 is a wasteful number, since it uses less digits than its factorization.

1144441546420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89929 (or 89927 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 1144441546420 in words is "one trillion, one hundred forty-four billion, four hundred forty-one million, five hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 89 101 142 178 202 284 355 356 404 445 505 710 890 1010 1420 1780 2020 6319 7171 8989 12638 14342 17978 25276 28684 31595 35855 35956 44945 63190 71710 89659 89890 126380 143420 179318 179780 358636 448295 638219 896590 1276438 1793180 2552876 3191095 6365789 6382190 7979651 9055559 12731578 12764380 15959302 18111118 25463156 31828945 31918604 36222236 39898255 45277795 63657890 79796510 90555590 127315780 159593020 181111180 566555221 642944689 805944751 1133110442 1285889378 1611889502 2266220884 2571778756 2832776105 3214723445 3223779004 4029723755 5665552210 6429446890 8059447510 11331104420 12858893780 16118895020 57222077321 114444154642 228888309284 286110386605 572220773210 1144441546420