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20440200420040 = 235737339549889
BaseRepresentation
bin1001010010111000110101…
…11000101001101011001000
32200101001201201012210202111
410221130122320221223020
510134343012301420130
6111250033132512104
74206520135610452
oct451343270515310
980331651183674
1020440200420040
116570705297a75
12236154591b634
13b5366c377b6b
1450944d47d2d2
15256a6ab5502a
hex12971ae29ac8

20440200420040 has 64 divisors (see below), whose sum is σ = 46684064271600. Its totient is φ = 8053076754432.

The previous prime is 20440200420023. The next prime is 20440200420041. The reversal of 20440200420040 is 4002400204402.

It can be written as a sum of positive squares in 8 ways, for example, as 9138057418084 + 11302143001956 = 3022922^2 + 3361866^2 .

It is a super-2 number, since 2×204402004200402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20440200419993 and 20440200420020.

It is not an unprimeable number, because it can be changed into a prime (20440200420041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2634585 + ... + 6915304.

Almost surely, 220440200420040 is an apocalyptic number.

20440200420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20440200420040 is an abundant number, since it is smaller than the sum of its proper divisors (26243863851560).

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

20440200420040 is a wasteful number, since it uses less digits than its factorization.

20440200420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550706 (or 9550702 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20440200420040 its reverse (4002400204402), we get a palindrome (24442600624442).

The spelling of 20440200420040 in words is "twenty trillion, four hundred forty billion, two hundred million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 733 1460 1466 2920 2932 3665 5864 7330 14660 29320 53509 107018 214036 267545 428072 535090 1070180 2140360 9549889 19099778 38199556 47749445 76399112 95498890 190997780 381995560 697141897 1394283794 2788567588 3485709485 5577135176 6971418970 7000068637 13942837940 14000137274 27885675880 28000274548 35000343185 56000549096 70000686370 140001372740 280002745480 511005010501 1022010021002 2044020042004 2555025052505 4088040084008 5110050105010 10220100210020 20440200420040