Search a number
-
+
1024401114440 = 2351129312589749
BaseRepresentation
bin11101110100000110001…
…00001000010101001000
310121221011021102110202022
432322003010020111020
5113240433141130230
62102334155024012
7134003420542244
oct16720304102510
93557137373668
101024401114440
1136549a7a5380
12146651a3b008
13757a67067b2
143781d057424
151b9a8a8b1e5
hexee83108548

1024401114440 has 128 divisors (see below), whose sum is σ = 2685052800000. Its totient is φ = 348062131200.

The previous prime is 1024401114431. The next prime is 1024401114463. The reversal of 1024401114440 is 444111044201.

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, 899315 + ... + 1690434.

It is an arithmetic number, because the mean of its divisors is an integer number (20976975000).

Almost surely, 21024401114440 is an apocalyptic number.

1024401114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024401114440 is an abundant number, since it is smaller than the sum of its proper divisors (1660651685560).

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

1024401114440 is a wasteful number, since it uses less digits than its factorization.

1024401114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589831 (or 2589827 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 1024401114440 its reverse (444111044201), we get a palindrome (1468512158641).

The spelling of 1024401114440 in words is "one trillion, twenty-four billion, four hundred one million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 31 40 44 55 58 62 88 110 116 124 145 155 220 232 248 290 310 319 341 440 580 620 638 682 899 1160 1240 1276 1364 1595 1705 1798 2552 2728 3190 3410 3596 4495 6380 6820 7192 8990 9889 12760 13640 17980 19778 35960 39556 49445 79112 98890 197780 395560 2589749 5179498 10358996 12948745 20717992 25897490 28487239 51794980 56974478 75102721 80282219 103589960 113948956 142436195 150205442 160564438 227897912 284872390 300410884 321128876 375513605 401411095 569744780 600821768 642257752 751027210 802822190 826129931 883104409 1139489560 1502054420 1605644380 1652259862 1766208818 2328184351 3004108840 3211288760 3304519724 3532417636 4130649655 4415522045 4656368702 6609039448 7064835272 8261299310 8831044090 9312737404 11640921755 16522598620 17662088180 18625474808 23281843510 25610027861 33045197240 35324176360 46563687020 51220055722 93127374040 102440111444 128050139305 204880222888 256100278610 512200557220 1024401114440