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10424010040040 = 235495295261569
BaseRepresentation
bin1001011110110000011101…
…1010100110001011101000
31100220112012011221000212102
42113230013122212023220
52331241333032240130
634100420223432532
72124052454253122
oct227540732461350
940815164830772
1010424010040040
113359885a06913
1212042aba55748
135a7c97b99a3c
1428074bdc2212
15131244662645
hex97b076a62e8

10424010040040 has 32 divisors (see below), whose sum is σ = 23454500589000. Its totient is φ = 4169519038464.

The previous prime is 10424010039979. The next prime is 10424010040057. The reversal of 10424010040040 is 4004001042401.

It is a happy number.

10424010040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5482556688196 + 4941453351844 = 2341486^2 + 2222938^2 .

It is a super-3 number, since 3×104240100400403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10424010039994 and 10424010040021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649625 + ... + 4611944.

Almost surely, 210424010040040 is an apocalyptic number.

10424010040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424010040040 is an abundant number, since it is smaller than the sum of its proper divisors (13030490548960).

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

10424010040040 is a wasteful number, since it uses less digits than its factorization.

10424010040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311109 (or 5311105 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10424010040040 its reverse (4004001042401), we get a palindrome (14428011082441).

The spelling of 10424010040040 in words is "ten trillion, four hundred twenty-four billion, ten million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 49529 99058 198116 247645 396232 495290 990580 1981160 5261569 10523138 21046276 26307845 42092552 52615690 105231380 210462760 260600251001 521200502002 1042401004004 1303001255005 2084802008008 2606002510010 5212005020020 10424010040040