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20042343040 = 2751910116319
BaseRepresentation
bin10010101010100111…
…011110001010000000
31220201210012111222111
4102222213132022000
5312021314434130
613112440545104
71306445050666
oct225247361200
956653174874
1020042343040
11855541aa75
123a74182194
131b753b1aa5
14d81b88c36
157c483202a
hex4aa9de280

20042343040 has 128 divisors (see below), whose sum is σ = 50937984000. Its totient is φ = 7519334400.

The previous prime is 20042343023. The next prime is 20042343071. The reversal of 20042343040 is 4034324002.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220001 + ... + 1236319.

It is an arithmetic number, because the mean of its divisors is an integer number (397953000).

Almost surely, 220042343040 is an apocalyptic number.

20042343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25468992000).

20042343040 is an abundant number, since it is smaller than the sum of its proper divisors (30895640960).

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

20042343040 is a wasteful number, since it uses less digits than its factorization.

20042343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16458 (or 16446 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 20042343040 its reverse (4034324002), we get a palindrome (24076667042).

The spelling of 20042343040 in words is "twenty billion, forty-two million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 101 128 152 160 190 202 304 320 380 404 505 608 640 760 808 1010 1216 1520 1616 1919 2020 2432 3040 3232 3838 4040 6080 6464 7676 8080 9595 12160 12928 15352 16160 16319 19190 30704 32320 32638 38380 61408 64640 65276 76760 81595 122816 130552 153520 163190 245632 261104 307040 310061 326380 522208 614080 620122 652760 1044416 1228160 1240244 1305520 1550305 1648219 2088832 2480488 2611040 3100610 3296438 4960976 5222080 6201220 6592876 8241095 9921952 10444160 12402440 13185752 16482190 19843904 24804880 26371504 31316161 32964380 39687808 49609760 52743008 62632322 65928760 99219520 105486016 125264644 131857520 156580805 198439040 210972032 250529288 263715040 313161610 501058576 527430080 626323220 1002117152 1054860160 1252646440 2004234304 2505292880 4008468608 5010585760 10021171520 20042343040