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40002044400040 = 23515758431090151
BaseRepresentation
bin10010001100001101100111…
…01001011001000110101000
312020122011021020211021221111
421012012303221121012220
520220343141331300130
6221024404022520104
711266023644130502
oct1106066351310650
9166564236737844
1040002044400040
1111822854238088
1245a07b7896034
13194223acb9328
149c4175c10d72
1549582945002a
hex2461b3a591a8

40002044400040 has 64 divisors (see below), whose sum is σ = 90593462655360. Its totient is φ = 15896166124800.

The previous prime is 40002044400029. The next prime is 40002044400041. The reversal of 40002044400040 is 4000444020004.

It is a junction number, because it is equal to n+sod(n) for n = 40002044399984 and 40002044400020.

It is not an unprimeable number, because it can be changed into a prime (40002044400041) 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, 36148965 + ... + 37239115.

It is an arithmetic number, because the mean of its divisors is an integer number (1415522853990).

Almost surely, 240002044400040 is an apocalyptic number.

40002044400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40002044400040 is an abundant number, since it is smaller than the sum of its proper divisors (50591418255320).

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

40002044400040 is a wasteful number, since it uses less digits than its factorization.

40002044400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096162 (or 1096158 counting only the distinct ones).

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

Adding to 40002044400040 its reverse (4000444020004), we get a palindrome (44002488420044).

The spelling of 40002044400040 in words is "forty trillion, two billion, forty-four million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 5843 6280 11686 23372 29215 46744 58430 116860 233720 917351 1090151 1834702 2180302 3669404 4360604 4586755 5450755 7338808 8721208 9173510 10901510 18347020 21803020 36694040 43606040 171153707 342307414 684614828 855768535 1369229656 1711537070 3423074140 6369752293 6846148280 12739504586 25479009172 31848761465 50958018344 63697522930 127395045860 254790091720 1000051110001 2000102220002 4000204440004 5000255550005 8000408880008 10000511100010 20001022200020 40002044400040