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2180741000040 = 2332515493910661
BaseRepresentation
bin11111101110111110010…
…010101110101101101000
321201110212120220222011200
4133232332102232231220
5241212124144000130
64345452451524200
7313360536441111
oct37567622565550
97643776828150
102180741000040
11770935496299
122b27858b9660
1312a848871a85
1477796c57208
153bad57a6760
hex1fbbe4aeb68

2180741000040 has 96 divisors (see below), whose sum is σ = 7091985537000. Its totient is φ = 581155361280.

The previous prime is 2180741000017. The next prime is 2180741000089. The reversal of 2180741000040 is 400001470812.

It can be written as a sum of positive squares in 4 ways, for example, as 1891191542436 + 289549457604 = 1375206^2 + 538098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2180740999968 and 2180741000013.

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, 1397691 + ... + 2512970.

Almost surely, 22180741000040 is an apocalyptic number.

2180741000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2180741000040 is an abundant number, since it is smaller than the sum of its proper divisors (4911244536960).

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

2180741000040 is a wasteful number, since it uses less digits than its factorization.

2180741000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912227 (or 3912220 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 2180741000040 its reverse (400001470812), we get a palindrome (2580742470852).

The spelling of 2180741000040 in words is "two trillion, one hundred eighty billion, seven hundred forty-one million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1549 3098 4647 6196 7745 9294 12392 13941 15490 18588 23235 27882 30980 37176 46470 55764 61960 69705 92940 111528 139410 185880 278820 557640 3910661 7821322 11731983 15642644 19553305 23463966 31285288 35195949 39106610 46927932 58659915 70391898 78213220 93855864 117319830 140783796 156426440 175979745 234639660 281567592 351959490 469279320 703918980 1407837960 6057613889 12115227778 18172841667 24230455556 30288069445 36345683334 48460911112 54518525001 60576138890 72691366668 90864208335 109037050002 121152277780 145382733336 181728416670 218074100004 242304555560 272592625005 363456833340 436148200008 545185250010 726913666680 1090370500020 2180741000040