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20443310040 = 23351634572287
BaseRepresentation
bin10011000010100001…
…000010011111011000
31221202201200202022010
4103002201002133120
5313331441410130
613220323025520
71322414160666
oct230241023730
957681622263
1020443310040
11874079645a
123b6650b2a0
131c0a4a157a
14dbd121c36
157e9b370b0
hex4c28427d8

20443310040 has 128 divisors (see below), whose sum is σ = 61868252160. Its totient is φ = 5403884544.

The previous prime is 20443309979. The next prime is 20443310051. The reversal of 20443310040 is 4001334402.

It is a junction number, because it is equal to n+sod(n) for n = 20443309989 and 20443310016.

It is a congruent number.

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, 8937777 + ... + 8940063.

It is an arithmetic number, because the mean of its divisors is an integer number (483345720).

Almost surely, 220443310040 is an apocalyptic number.

20443310040 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 20443310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30934126080).

20443310040 is an abundant number, since it is smaller than the sum of its proper divisors (41424942120).

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

20443310040 is a wasteful number, since it uses less digits than its factorization.

20443310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20443310040 its reverse (4001334402), we get a palindrome (24444644442).

The spelling of 20443310040 in words is "twenty billion, four hundred forty-three million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 457 489 652 815 914 978 1304 1371 1630 1828 1956 2285 2287 2445 2742 3260 3656 3912 4570 4574 4890 5484 6520 6855 6861 9140 9148 9780 10968 11435 13710 13722 18280 18296 19560 22870 27420 27444 34305 45740 54840 54888 68610 74491 91480 137220 148982 223473 274440 297964 372455 372781 446946 595928 744910 745562 893892 1045159 1117365 1118343 1489820 1491124 1787784 1863905 2090318 2234730 2236686 2979640 2982248 3135477 3727810 4180636 4469460 4473372 5225795 5591715 6270954 7455620 8361272 8938920 8946744 10451590 11183430 12541908 14911240 15677385 20903180 22366860 25083816 31354770 41806360 44733720 62709540 125419080 170360917 340721834 511082751 681443668 851804585 1022165502 1362887336 1703609170 2044331004 2555413755 3407218340 4088662008 5110827510 6814436680 10221655020 20443310040