Search a number
-
+
1040020556040 = 2332513721087197
BaseRepresentation
bin11110010001001100000…
…11100100100100001000
310200102110211011022120100
433020212003210210020
5114014430230243130
62113440121525400
7135065451602664
oct17104603444410
93612424138510
101040020556040
11371085543aa4
12149690943860
13770c569762b
14384a16458a4
151c0bee5dc60
hexf2260e4908

1040020556040 has 96 divisors (see below), whose sum is σ = 3404738989080. Its totient is φ = 275314430976.

The previous prime is 1040020556021. The next prime is 1040020556053. The reversal of 1040020556040 is 406550200401.

1040020556040 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 2 + 0 + 55 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 678557472516 + 361463083524 = 823746^2 + 601218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1040020555995 and 1040020556013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10494279 + ... + 10592918.

Almost surely, 21040020556040 is an apocalyptic number.

1040020556040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040020556040 is an abundant number, since it is smaller than the sum of its proper divisors (2364718433040).

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

1040020556040 is a wasteful number, since it uses less digits than its factorization.

1040020556040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21087351 (or 21087344 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1040020556040 its reverse (406550200401), we get a palindrome (1446570756441).

The spelling of 1040020556040 in words is "one trillion, forty billion, twenty million, five hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 24660 49320 21087197 42174394 63261591 84348788 105435985 126523182 168697576 189784773 210871970 253046364 316307955 379569546 421743940 506092728 632615910 759139092 843487880 948923865 1265231820 1518278184 1897847730 2530463640 2888945989 3795695460 5777891978 7591390920 8666837967 11555783956 14444729945 17333675934 23111567912 26000513901 28889459890 34667351868 43334189835 52001027802 57778919780 69334703736 86668379670 104002055604 115557839560 130002569505 173336759340 208004111208 260005139010 346673518680 520010278020 1040020556040