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2010444440040 = 2332542291320541
BaseRepresentation
bin11101010000010111110…
…100111010000111101000
321010012022022220101012200
4131100113310322013220
5230414342234040130
64135330241340200
7265151454531411
oct35202764720750
97105268811180
102010444440040
11705696524213
12285779937660
131177793528ca
146d43da64808
1537469dcb760
hex1d417d3a1e8

2010444440040 has 96 divisors (see below), whose sum is σ = 6535494412200. Its totient is φ = 535991339520.

The previous prime is 2010444439951. The next prime is 2010444440057. The reversal of 2010444440040 is 400444440102.

It can be written as a sum of positive squares in 4 ways, for example, as 1917288854244 + 93155585796 = 1384662^2 + 305214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2010444439986 and 2010444440013.

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, 862170 + ... + 2182710.

Almost surely, 22010444440040 is an apocalyptic number.

2010444440040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010444440040 is an abundant number, since it is smaller than the sum of its proper divisors (4525049972160).

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

2010444440040 is a wasteful number, since it uses less digits than its factorization.

2010444440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324787 (or 1324780 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2010444440040 its reverse (400444440102), we get a palindrome (2410888880142).

The spelling of 2010444440040 in words is "two trillion, ten billion, four hundred forty-four million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4229 8458 12687 16916 21145 25374 33832 38061 42290 50748 63435 76122 84580 101496 126870 152244 169160 190305 253740 304488 380610 507480 761220 1320541 1522440 2641082 3961623 5282164 6602705 7923246 10564328 11884869 13205410 15846492 19808115 23769738 26410820 31692984 39616230 47539476 52821640 59424345 79232460 95078952 118848690 158464920 237697380 475394760 5584567889 11169135778 16753703667 22338271556 27922839445 33507407334 44676543112 50261111001 55845678890 67014814668 83768518335 100522222002 111691357780 134029629336 167537036670 201044444004 223382715560 251305555005 335074073340 402088888008 502611110010 670148146680 1005222220020 2010444440040