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20402420040 = 23325157360977
BaseRepresentation
bin10011000000000101…
…000011100101001000
31221122212202022202200
4103000011003211020
5313241004420130
613212302400200
71321406465112
oct230005034510
957585668680
1020402420040
11871a6a8172
123b54890060
131c01b858c2
14db791a3b2
157e625b760
hex4c0143948

20402420040 has 96 divisors (see below), whose sum is σ = 66730393080. Its totient is φ = 5405976576.

The previous prime is 20402420033. The next prime is 20402420047. The reversal of 20402420040 is 4002420402.

20402420040 is a `hidden beast` number, since 20 + 402 + 4 + 200 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20402420033) and next prime (20402420047).

It can be written as a sum of positive squares in 4 ways, for example, as 11300115204 + 9102304836 = 106302^2 + 95406^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20402419995 and 20402420022.

It is not an unprimeable number, because it can be changed into a prime (20402420047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123969 + ... + 237008.

Almost surely, 220402420040 is an apocalyptic number.

20402420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20402420040 is an abundant number, since it is smaller than the sum of its proper divisors (46327973040).

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

20402420040 is a wasteful number, since it uses less digits than its factorization.

20402420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361151 (or 361144 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20402420040 its reverse (4002420402), we get a palindrome (24404840442).

The spelling of 20402420040 in words is "twenty billion, four hundred two million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 56520 360977 721954 1082931 1443908 1804885 2165862 2887816 3248793 3609770 4331724 5414655 6497586 7219540 8663448 10829310 12995172 14439080 16243965 21658620 25990344 32487930 43317240 56673389 64975860 113346778 129951720 170020167 226693556 283366945 340040334 453387112 510060501 566733890 680080668 850100835 1020121002 1133467780 1360161336 1700201670 2040242004 2266935560 2550302505 3400403340 4080484008 5100605010 6800806680 10201210020 20402420040